Approximation of functions in Besov space by deferred Cesàro mean

Abstract In this paper we study the degree of approximation of functions (signals) in a Besov space by trigonometric polynomials using deferred Cesàro mean. We also deduce a few corollaries of our main result and compare them with the existing results.

Bibliographic Details
Main Authors: Mradul Veer Singh, Madan Lal Mittal
Format: Article
Language:English
Published: SpringerOpen 2016-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1060-x
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author Mradul Veer Singh
Madan Lal Mittal
author_facet Mradul Veer Singh
Madan Lal Mittal
author_sort Mradul Veer Singh
collection DOAJ
description Abstract In this paper we study the degree of approximation of functions (signals) in a Besov space by trigonometric polynomials using deferred Cesàro mean. We also deduce a few corollaries of our main result and compare them with the existing results.
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spelling doaj.art-427ac4b81d234beda63195aa79d17c042022-12-22T01:30:48ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-04-012016111210.1186/s13660-016-1060-xApproximation of functions in Besov space by deferred Cesàro meanMradul Veer Singh0Madan Lal Mittal1Department of Mathematics, Indian Institute of TechnologyDepartment of Mathematics, Indian Institute of TechnologyAbstract In this paper we study the degree of approximation of functions (signals) in a Besov space by trigonometric polynomials using deferred Cesàro mean. We also deduce a few corollaries of our main result and compare them with the existing results.http://link.springer.com/article/10.1186/s13660-016-1060-xBesov spacedegree of approximationdeferred Cesàro mean
spellingShingle Mradul Veer Singh
Madan Lal Mittal
Approximation of functions in Besov space by deferred Cesàro mean
Journal of Inequalities and Applications
Besov space
degree of approximation
deferred Cesàro mean
title Approximation of functions in Besov space by deferred Cesàro mean
title_full Approximation of functions in Besov space by deferred Cesàro mean
title_fullStr Approximation of functions in Besov space by deferred Cesàro mean
title_full_unstemmed Approximation of functions in Besov space by deferred Cesàro mean
title_short Approximation of functions in Besov space by deferred Cesàro mean
title_sort approximation of functions in besov space by deferred cesaro mean
topic Besov space
degree of approximation
deferred Cesàro mean
url http://link.springer.com/article/10.1186/s13660-016-1060-x
work_keys_str_mv AT mradulveersingh approximationoffunctionsinbesovspacebydeferredcesaromean
AT madanlalmittal approximationoffunctionsinbesovspacebydeferredcesaromean