Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$
Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schur...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ansari, Khursheed J. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Computational and applied mathematics - Berlin : Springer, 2003, 41(2022), 4 vom: 17. Mai |
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| Übergeordnetes Werk: |
volume:41 ; year:2022 ; number:4 ; day:17 ; month:05 |
| Links: |
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| DOI / URN: |
10.1007/s40314-022-01877-4 |
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| Katalog-ID: |
SPR04703033X |
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| 100 | 1 | |a Ansari, Khursheed J. |e verfasserin |0 (orcid)0000-0003-4564-6211 |4 aut | |
| 245 | 1 | 0 | |a Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ |
| 264 | 1 | |c 2022 | |
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| 520 | |a Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, %$ \lambda %$-Bernstein, %$ \lambda %$-Stancu, %$ \lambda %$-Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader. | ||
| 650 | 4 | |a Shape parameter |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Pointwise convergence |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Weighted approximation |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Error estimation |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Computer graphics |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Numerical comparisons |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Özger, Faruk |0 (orcid)0000-0002-4135-2091 |4 aut | |
| 700 | 1 | |a Ödemiş Özger, Zeynep |0 (orcid)0000-0002-3941-1726 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Computational and applied mathematics |d Berlin : Springer, 2003 |g 41(2022), 4 vom: 17. Mai |w (DE-627)47617502X |w (DE-600)2171678-X |x 1807-0302 |7 nnns |
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10.1007/s40314-022-01877-4 doi (DE-627)SPR04703033X (SPR)s40314-022-01877-4-e DE-627 ger DE-627 rakwb eng Ansari, Khursheed J. verfasserin (orcid)0000-0003-4564-6211 aut Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, %$ \lambda %$-Bernstein, %$ \lambda %$-Stancu, %$ \lambda %$-Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader. Shape parameter (dpeaa)DE-He213 Pointwise convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Error estimation (dpeaa)DE-He213 Computer graphics (dpeaa)DE-He213 Numerical comparisons (dpeaa)DE-He213 Özger, Faruk (orcid)0000-0002-4135-2091 aut Ödemiş Özger, Zeynep (orcid)0000-0002-3941-1726 aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 41(2022), 4 vom: 17. Mai (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:41 year:2022 number:4 day:17 month:05 https://dx.doi.org/10.1007/s40314-022-01877-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2022 4 17 05 |
| spelling |
10.1007/s40314-022-01877-4 doi (DE-627)SPR04703033X (SPR)s40314-022-01877-4-e DE-627 ger DE-627 rakwb eng Ansari, Khursheed J. verfasserin (orcid)0000-0003-4564-6211 aut Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, %$ \lambda %$-Bernstein, %$ \lambda %$-Stancu, %$ \lambda %$-Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader. Shape parameter (dpeaa)DE-He213 Pointwise convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Error estimation (dpeaa)DE-He213 Computer graphics (dpeaa)DE-He213 Numerical comparisons (dpeaa)DE-He213 Özger, Faruk (orcid)0000-0002-4135-2091 aut Ödemiş Özger, Zeynep (orcid)0000-0002-3941-1726 aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 41(2022), 4 vom: 17. Mai (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:41 year:2022 number:4 day:17 month:05 https://dx.doi.org/10.1007/s40314-022-01877-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2022 4 17 05 |
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10.1007/s40314-022-01877-4 doi (DE-627)SPR04703033X (SPR)s40314-022-01877-4-e DE-627 ger DE-627 rakwb eng Ansari, Khursheed J. verfasserin (orcid)0000-0003-4564-6211 aut Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, %$ \lambda %$-Bernstein, %$ \lambda %$-Stancu, %$ \lambda %$-Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader. Shape parameter (dpeaa)DE-He213 Pointwise convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Error estimation (dpeaa)DE-He213 Computer graphics (dpeaa)DE-He213 Numerical comparisons (dpeaa)DE-He213 Özger, Faruk (orcid)0000-0002-4135-2091 aut Ödemiş Özger, Zeynep (orcid)0000-0002-3941-1726 aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 41(2022), 4 vom: 17. Mai (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:41 year:2022 number:4 day:17 month:05 https://dx.doi.org/10.1007/s40314-022-01877-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2022 4 17 05 |
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10.1007/s40314-022-01877-4 doi (DE-627)SPR04703033X (SPR)s40314-022-01877-4-e DE-627 ger DE-627 rakwb eng Ansari, Khursheed J. verfasserin (orcid)0000-0003-4564-6211 aut Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, %$ \lambda %$-Bernstein, %$ \lambda %$-Stancu, %$ \lambda %$-Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader. Shape parameter (dpeaa)DE-He213 Pointwise convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Error estimation (dpeaa)DE-He213 Computer graphics (dpeaa)DE-He213 Numerical comparisons (dpeaa)DE-He213 Özger, Faruk (orcid)0000-0002-4135-2091 aut Ödemiş Özger, Zeynep (orcid)0000-0002-3941-1726 aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 41(2022), 4 vom: 17. Mai (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:41 year:2022 number:4 day:17 month:05 https://dx.doi.org/10.1007/s40314-022-01877-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2022 4 17 05 |
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10.1007/s40314-022-01877-4 doi (DE-627)SPR04703033X (SPR)s40314-022-01877-4-e DE-627 ger DE-627 rakwb eng Ansari, Khursheed J. verfasserin (orcid)0000-0003-4564-6211 aut Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, %$ \lambda %$-Bernstein, %$ \lambda %$-Stancu, %$ \lambda %$-Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader. Shape parameter (dpeaa)DE-He213 Pointwise convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Error estimation (dpeaa)DE-He213 Computer graphics (dpeaa)DE-He213 Numerical comparisons (dpeaa)DE-He213 Özger, Faruk (orcid)0000-0002-4135-2091 aut Ödemiş Özger, Zeynep (orcid)0000-0002-3941-1726 aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 41(2022), 4 vom: 17. Mai (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:41 year:2022 number:4 day:17 month:05 https://dx.doi.org/10.1007/s40314-022-01877-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2022 4 17 05 |
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Ansari, Khursheed J. |
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Ansari, Khursheed J. misc Shape parameter misc Pointwise convergence misc Weighted approximation misc Error estimation misc Computer graphics misc Numerical comparisons Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ |
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Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ Shape parameter (dpeaa)DE-He213 Pointwise convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Error estimation (dpeaa)DE-He213 Computer graphics (dpeaa)DE-He213 Numerical comparisons (dpeaa)DE-He213 |
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Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ |
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numerical and theoretical approximation results for schurer–stancu operators with shape parameter %$ \lambda %$ |
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Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ |
| abstract |
Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, %$ \lambda %$-Bernstein, %$ \lambda %$-Stancu, %$ \lambda %$-Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader. © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 |
| abstractGer |
Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, %$ \lambda %$-Bernstein, %$ \lambda %$-Stancu, %$ \lambda %$-Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader. © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 |
| abstract_unstemmed |
Abstract In this paper, we focus on pointwise and weighted approximation properties of newly defined Stancu variant of %$ \lambda %$-Schurer operators. We establish a direct local approximation theorem and obtain a global approximation formula. These newly defined operators reduce to classical Schurer, Bernstein, Stancu, %$ \lambda %$-Bernstein, %$ \lambda %$-Stancu, %$ \lambda %$-Schurer operators for the special cases of parameters. Certain illustrative and numerical examples are given to verify the convergence behavior and accuracy of the proposed operators. The numerical evaluations that obtained in this study may facilitate understanding and interpreting main results of this paper for the reader. © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 |
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| title_short |
Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter %$ \lambda %$ |
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https://dx.doi.org/10.1007/s40314-022-01877-4 |
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Özger, Faruk Ödemiş Özger, Zeynep |
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Özger, Faruk Ödemiş Özger, Zeynep |
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| doi_str |
10.1007/s40314-022-01877-4 |
| up_date |
2024-07-04T01:32:56.578Z |
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