Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series

In this paper, I have taken product of two summability methods, Euler and Cesaro; and establish a new theorem on the degree of approximation of the function f belonging to W(Lp, ?(t)) classes by Euler - Cesaro method. DOI: http://dx.doi.org/10.3126/bibechana.v9i0.7190 BIBECHANA 9 (2013) 151-158...

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Main Author: Binod Prasad Dhakal
Format: Article
Language:English
Published: Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University 2012-12-01
Series:Bibechana
Subjects:
Online Access:https://www.nepjol.info/index.php/BIBECHANA/article/view/7190
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author Binod Prasad Dhakal
author_facet Binod Prasad Dhakal
author_sort Binod Prasad Dhakal
collection DOAJ
description In this paper, I have taken product of two summability methods, Euler and Cesaro; and establish a new theorem on the degree of approximation of the function f belonging to W(Lp, ?(t)) classes by Euler - Cesaro method. DOI: http://dx.doi.org/10.3126/bibechana.v9i0.7190 BIBECHANA 9 (2013) 151-158
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spelling doaj.art-afa24a1a6202406281315a9a653d4b0f2024-04-23T13:05:49ZengDepartment of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan UniversityBibechana2091-07622382-53402012-12-01910.3126/bibechana.v9i0.7190Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier seriesBinod Prasad Dhakal0Central Department of Education Mathematics, Tribhuvan University In this paper, I have taken product of two summability methods, Euler and Cesaro; and establish a new theorem on the degree of approximation of the function f belonging to W(Lp, ?(t)) classes by Euler - Cesaro method. DOI: http://dx.doi.org/10.3126/bibechana.v9i0.7190 BIBECHANA 9 (2013) 151-158 https://www.nepjol.info/index.php/BIBECHANA/article/view/7190Degree of approximation(E1) (C1) SummabilityFourier series.
spellingShingle Binod Prasad Dhakal
Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series
Bibechana
Degree of approximation
(E
1) (C
1) Summability
Fourier series.
title Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series
title_full Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series
title_fullStr Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series
title_full_unstemmed Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series
title_short Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series
title_sort approximation of a generalized lipschitz class function by euler cesaro means of fourier series
topic Degree of approximation
(E
1) (C
1) Summability
Fourier series.
url https://www.nepjol.info/index.php/BIBECHANA/article/view/7190
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