Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators

Abstract In the present paper, we investigate the problem of approximating the Riemann-Stieltjes integral in the case when the integrand f is n-time differentiable and the derivative is either of locally bounded variation, or Lipschitzian on an interval incorporating . A priory error bounds for seve...
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Autor*in:	Dragomir, SS [verfasserIn] Abelman, S [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Riemann-Stieltjes integral Taylor’s representation functions of bounded variation Lipschitzian functions integral transforms finite Laplace-Stieltjes transform finite Fourier-Stieltjes sine and cosine transforms

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2013(2013), 1 vom: 04. Apr.
Übergeordnetes Werk:	volume:2013 ; year:2013 ; number:1 ; day:04 ; month:04

Links:	Volltext

DOI / URN:	10.1186/1029-242X-2013-154

Katalog-ID:	SPR032400632

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spelling	10.1186/1029-242X-2013-154 doi (DE-627)SPR032400632 (SPR)1029-242X-2013-154-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Dragomir, SS verfasserin aut Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In the present paper, we investigate the problem of approximating the Riemann-Stieltjes integral in the case when the integrand f is n-time differentiable and the derivative is either of locally bounded variation, or Lipschitzian on an interval incorporating . A priory error bounds for several classes of integrators u and applications in approximating the finite Laplace-Stieltjes transform and the finite Fourier-Stieltjes sine and cosine transforms are provided as well. MSC:41A51, 26D15, 26D10. Riemann-Stieltjes integral (dpeaa)DE-He213 Taylor’s representation (dpeaa)DE-He213 functions of bounded variation (dpeaa)DE-He213 Lipschitzian functions (dpeaa)DE-He213 integral transforms (dpeaa)DE-He213 finite Laplace-Stieltjes transform (dpeaa)DE-He213 finite Fourier-Stieltjes sine and cosine transforms (dpeaa)DE-He213 Abelman, S verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 04. Apr. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:04 month:04 https://dx.doi.org/10.1186/1029-242X-2013-154 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 04 04
allfields_unstemmed	10.1186/1029-242X-2013-154 doi (DE-627)SPR032400632 (SPR)1029-242X-2013-154-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Dragomir, SS verfasserin aut Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In the present paper, we investigate the problem of approximating the Riemann-Stieltjes integral in the case when the integrand f is n-time differentiable and the derivative is either of locally bounded variation, or Lipschitzian on an interval incorporating . A priory error bounds for several classes of integrators u and applications in approximating the finite Laplace-Stieltjes transform and the finite Fourier-Stieltjes sine and cosine transforms are provided as well. MSC:41A51, 26D15, 26D10. Riemann-Stieltjes integral (dpeaa)DE-He213 Taylor’s representation (dpeaa)DE-He213 functions of bounded variation (dpeaa)DE-He213 Lipschitzian functions (dpeaa)DE-He213 integral transforms (dpeaa)DE-He213 finite Laplace-Stieltjes transform (dpeaa)DE-He213 finite Fourier-Stieltjes sine and cosine transforms (dpeaa)DE-He213 Abelman, S verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 04. Apr. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:04 month:04 https://dx.doi.org/10.1186/1029-242X-2013-154 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 04 04
allfieldsGer	10.1186/1029-242X-2013-154 doi (DE-627)SPR032400632 (SPR)1029-242X-2013-154-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Dragomir, SS verfasserin aut Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In the present paper, we investigate the problem of approximating the Riemann-Stieltjes integral in the case when the integrand f is n-time differentiable and the derivative is either of locally bounded variation, or Lipschitzian on an interval incorporating . A priory error bounds for several classes of integrators u and applications in approximating the finite Laplace-Stieltjes transform and the finite Fourier-Stieltjes sine and cosine transforms are provided as well. MSC:41A51, 26D15, 26D10. Riemann-Stieltjes integral (dpeaa)DE-He213 Taylor’s representation (dpeaa)DE-He213 functions of bounded variation (dpeaa)DE-He213 Lipschitzian functions (dpeaa)DE-He213 integral transforms (dpeaa)DE-He213 finite Laplace-Stieltjes transform (dpeaa)DE-He213 finite Fourier-Stieltjes sine and cosine transforms (dpeaa)DE-He213 Abelman, S verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 04. Apr. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:04 month:04 https://dx.doi.org/10.1186/1029-242X-2013-154 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 04 04
allfieldsSound	10.1186/1029-242X-2013-154 doi (DE-627)SPR032400632 (SPR)1029-242X-2013-154-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Dragomir, SS verfasserin aut Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In the present paper, we investigate the problem of approximating the Riemann-Stieltjes integral in the case when the integrand f is n-time differentiable and the derivative is either of locally bounded variation, or Lipschitzian on an interval incorporating . A priory error bounds for several classes of integrators u and applications in approximating the finite Laplace-Stieltjes transform and the finite Fourier-Stieltjes sine and cosine transforms are provided as well. MSC:41A51, 26D15, 26D10. Riemann-Stieltjes integral (dpeaa)DE-He213 Taylor’s representation (dpeaa)DE-He213 functions of bounded variation (dpeaa)DE-He213 Lipschitzian functions (dpeaa)DE-He213 integral transforms (dpeaa)DE-He213 finite Laplace-Stieltjes transform (dpeaa)DE-He213 finite Fourier-Stieltjes sine and cosine transforms (dpeaa)DE-He213 Abelman, S verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 04. Apr. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:04 month:04 https://dx.doi.org/10.1186/1029-242X-2013-154 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 04 04
language	English
source	Enthalten in Journal of inequalities and applications 2013(2013), 1 vom: 04. Apr. volume:2013 year:2013 number:1 day:04 month:04
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topic_facet	Riemann-Stieltjes integral Taylor’s representation functions of bounded variation Lipschitzian functions integral transforms finite Laplace-Stieltjes transform finite Fourier-Stieltjes sine and cosine transforms
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author	Dragomir, SS
spellingShingle	Dragomir, SS ddc 510 bkl 31.49 misc Riemann-Stieltjes integral misc Taylor’s representation misc functions of bounded variation misc Lipschitzian functions misc integral transforms misc finite Laplace-Stieltjes transform misc finite Fourier-Stieltjes sine and cosine transforms Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators
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topic_title	510 ASE 31.49 bkl Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators Riemann-Stieltjes integral (dpeaa)DE-He213 Taylor’s representation (dpeaa)DE-He213 functions of bounded variation (dpeaa)DE-He213 Lipschitzian functions (dpeaa)DE-He213 integral transforms (dpeaa)DE-He213 finite Laplace-Stieltjes transform (dpeaa)DE-He213 finite Fourier-Stieltjes sine and cosine transforms (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Riemann-Stieltjes integral misc Taylor’s representation misc functions of bounded variation misc Lipschitzian functions misc integral transforms misc finite Laplace-Stieltjes transform misc finite Fourier-Stieltjes sine and cosine transforms
topic_unstemmed	ddc 510 bkl 31.49 misc Riemann-Stieltjes integral misc Taylor’s representation misc functions of bounded variation misc Lipschitzian functions misc integral transforms misc finite Laplace-Stieltjes transform misc finite Fourier-Stieltjes sine and cosine transforms
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title	Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators
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title_full	Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators
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title_sort	approximating the riemann-stieltjes integral of smooth integrands and of bounded variation integrators
title_auth	Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators
abstract	Abstract In the present paper, we investigate the problem of approximating the Riemann-Stieltjes integral in the case when the integrand f is n-time differentiable and the derivative is either of locally bounded variation, or Lipschitzian on an interval incorporating . A priory error bounds for several classes of integrators u and applications in approximating the finite Laplace-Stieltjes transform and the finite Fourier-Stieltjes sine and cosine transforms are provided as well. MSC:41A51, 26D15, 26D10.
abstractGer	Abstract In the present paper, we investigate the problem of approximating the Riemann-Stieltjes integral in the case when the integrand f is n-time differentiable and the derivative is either of locally bounded variation, or Lipschitzian on an interval incorporating . A priory error bounds for several classes of integrators u and applications in approximating the finite Laplace-Stieltjes transform and the finite Fourier-Stieltjes sine and cosine transforms are provided as well. MSC:41A51, 26D15, 26D10.
abstract_unstemmed	Abstract In the present paper, we investigate the problem of approximating the Riemann-Stieltjes integral in the case when the integrand f is n-time differentiable and the derivative is either of locally bounded variation, or Lipschitzian on an interval incorporating . A priory error bounds for several classes of integrators u and applications in approximating the finite Laplace-Stieltjes transform and the finite Fourier-Stieltjes sine and cosine transforms are provided as well. MSC:41A51, 26D15, 26D10.
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title_short	Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators
url	https://dx.doi.org/10.1186/1029-242X-2013-154
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Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators

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