Equivalence between K-functionals and modulus of smoothness on the quaternion algebra
Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bouhlal, A. [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 license to Università degli Studi di Ferrara 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Annali dell'Università di Ferrara - Milan : Springer, 1950, 68(2022), 1 vom: 29. Jan., Seite 79-89 |
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| Übergeordnetes Werk: |
volume:68 ; year:2022 ; number:1 ; day:29 ; month:01 ; pages:79-89 |
| Links: |
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| DOI / URN: |
10.1007/s11565-022-00387-9 |
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| Katalog-ID: |
SPR046875875 |
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| 520 | |a Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-functionals and modulus of smoothness. | ||
| 650 | 4 | |a Complex-valued function |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Quaternion algebra |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Admissible quaternion wavelets |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Safouane, N. |4 aut | |
| 700 | 1 | |a Belkhadir, A. |4 aut | |
| 700 | 1 | |a Daher, R. |4 aut | |
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10.1007/s11565-022-00387-9 doi (DE-627)SPR046875875 (SPR)s11565-022-00387-9-e DE-627 ger DE-627 rakwb eng Bouhlal, A. verfasserin aut Equivalence between K-functionals and modulus of smoothness on the quaternion algebra 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022 Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-functionals and modulus of smoothness. Complex-valued function (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelets (dpeaa)DE-He213 Safouane, N. aut Belkhadir, A. aut Daher, R. aut Enthalten in Annali dell'Università di Ferrara Milan : Springer, 1950 68(2022), 1 vom: 29. Jan., Seite 79-89 (DE-627)518631451 (DE-600)2253092-7 1827-1510 nnns volume:68 year:2022 number:1 day:29 month:01 pages:79-89 https://dx.doi.org/10.1007/s11565-022-00387-9 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 68 2022 1 29 01 79-89 |
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10.1007/s11565-022-00387-9 doi (DE-627)SPR046875875 (SPR)s11565-022-00387-9-e DE-627 ger DE-627 rakwb eng Bouhlal, A. verfasserin aut Equivalence between K-functionals and modulus of smoothness on the quaternion algebra 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022 Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-functionals and modulus of smoothness. Complex-valued function (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelets (dpeaa)DE-He213 Safouane, N. aut Belkhadir, A. aut Daher, R. aut Enthalten in Annali dell'Università di Ferrara Milan : Springer, 1950 68(2022), 1 vom: 29. Jan., Seite 79-89 (DE-627)518631451 (DE-600)2253092-7 1827-1510 nnns volume:68 year:2022 number:1 day:29 month:01 pages:79-89 https://dx.doi.org/10.1007/s11565-022-00387-9 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 68 2022 1 29 01 79-89 |
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10.1007/s11565-022-00387-9 doi (DE-627)SPR046875875 (SPR)s11565-022-00387-9-e DE-627 ger DE-627 rakwb eng Bouhlal, A. verfasserin aut Equivalence between K-functionals and modulus of smoothness on the quaternion algebra 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022 Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-functionals and modulus of smoothness. Complex-valued function (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelets (dpeaa)DE-He213 Safouane, N. aut Belkhadir, A. aut Daher, R. aut Enthalten in Annali dell'Università di Ferrara Milan : Springer, 1950 68(2022), 1 vom: 29. Jan., Seite 79-89 (DE-627)518631451 (DE-600)2253092-7 1827-1510 nnns volume:68 year:2022 number:1 day:29 month:01 pages:79-89 https://dx.doi.org/10.1007/s11565-022-00387-9 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 68 2022 1 29 01 79-89 |
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10.1007/s11565-022-00387-9 doi (DE-627)SPR046875875 (SPR)s11565-022-00387-9-e DE-627 ger DE-627 rakwb eng Bouhlal, A. verfasserin aut Equivalence between K-functionals and modulus of smoothness on the quaternion algebra 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022 Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-functionals and modulus of smoothness. Complex-valued function (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelets (dpeaa)DE-He213 Safouane, N. aut Belkhadir, A. aut Daher, R. aut Enthalten in Annali dell'Università di Ferrara Milan : Springer, 1950 68(2022), 1 vom: 29. Jan., Seite 79-89 (DE-627)518631451 (DE-600)2253092-7 1827-1510 nnns volume:68 year:2022 number:1 day:29 month:01 pages:79-89 https://dx.doi.org/10.1007/s11565-022-00387-9 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 68 2022 1 29 01 79-89 |
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10.1007/s11565-022-00387-9 doi (DE-627)SPR046875875 (SPR)s11565-022-00387-9-e DE-627 ger DE-627 rakwb eng Bouhlal, A. verfasserin aut Equivalence between K-functionals and modulus of smoothness on the quaternion algebra 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022 Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-functionals and modulus of smoothness. Complex-valued function (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelets (dpeaa)DE-He213 Safouane, N. aut Belkhadir, A. aut Daher, R. aut Enthalten in Annali dell'Università di Ferrara Milan : Springer, 1950 68(2022), 1 vom: 29. Jan., Seite 79-89 (DE-627)518631451 (DE-600)2253092-7 1827-1510 nnns volume:68 year:2022 number:1 day:29 month:01 pages:79-89 https://dx.doi.org/10.1007/s11565-022-00387-9 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 68 2022 1 29 01 79-89 |
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Enthalten in Annali dell'Università di Ferrara 68(2022), 1 vom: 29. Jan., Seite 79-89 volume:68 year:2022 number:1 day:29 month:01 pages:79-89 |
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Equivalence between K-functionals and modulus of smoothness on the quaternion algebra Complex-valued function (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelets (dpeaa)DE-He213 |
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equivalence between k-functionals and modulus of smoothness on the quaternion algebra |
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Equivalence between K-functionals and modulus of smoothness on the quaternion algebra |
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Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-functionals and modulus of smoothness. © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022 |
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Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-functionals and modulus of smoothness. © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022 |
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Abstract In the space %$L^{2}({\mathbb {R}}^{2},{\mathcal {H}})%$, using the analog of the Steklov operator, we construct the generalized modulus of smoothness, and also using the Laplacian operator we define the K-functional. The main result of our article is the proof of the equivalence between K-functionals and modulus of smoothness. © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022 |
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