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.
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Format: | Article |
Language: | English |
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SpringerOpen
2016-04-01
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Series: | Journal of Inequalities and Applications |
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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. |
first_indexed | 2024-12-10T22:37:42Z |
format | Article |
id | doaj.art-427ac4b81d234beda63195aa79d17c04 |
institution | Directory Open Access Journal |
issn | 1029-242X |
language | English |
last_indexed | 2024-12-10T22:37:42Z |
publishDate | 2016-04-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
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 |