Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels

In this paper, we obtain strong localization results and local direct results in the approximation of continuous functions by the non-truncated max-product sampling operators based on Fejér and sinc (Wittaker)-type kernels. These operators present potential applications in signal theory.

Bibliographic Details
Main Authors: Coroianu Lucian, Gal Sorin G.
Format: Article
Language:English
Published: De Gruyter 2016-03-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2016.49.issue-1/dema-2016-0005/dema-2016-0005.xml?format=INT
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spelling doaj-bd35fbf047e842098b8c465c45f10ca82020-11-25T00:30:44ZengDe GruyterDemonstratio Mathematica2391-46612016-03-01491384910.1515/dema-2016-0005dema-2016-0005Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernelsCoroianu Lucian0Gal Sorin G.1Department of Mathematics and Computer Science, The University of Oradea, Universitatii 1, 410087, Oradea, RomaniaDepartment of Mathematics and Computer Science, The University of Oradea, Universitatii 1, 410087, Oradea, RomaniaIn this paper, we obtain strong localization results and local direct results in the approximation of continuous functions by the non-truncated max-product sampling operators based on Fejér and sinc (Wittaker)-type kernels. These operators present potential applications in signal theory.http://www.degruyter.com/view/j/dema.2016.49.issue-1/dema-2016-0005/dema-2016-0005.xml?format=INTmax-product sampling operatorssignal theoryFejér-type kernelsinc (Whitaker-type) kernellocalization resultlocal direct resultLipschitz function on subintervalsPrimary 41A36, 41A40Secondary 41A27, 41A20, 94A12
collection DOAJ
language English
format Article
sources DOAJ
author Coroianu Lucian
Gal Sorin G.
spellingShingle Coroianu Lucian
Gal Sorin G.
Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
Demonstratio Mathematica
max-product sampling operators
signal theory
Fejér-type kernel
sinc (Whitaker-type) kernel
localization result
local direct result
Lipschitz function on subintervals
Primary 41A36, 41A40
Secondary 41A27, 41A20, 94A12
author_facet Coroianu Lucian
Gal Sorin G.
author_sort Coroianu Lucian
title Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
title_short Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
title_full Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
title_fullStr Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
title_full_unstemmed Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
title_sort localization results for the non-truncated max-product sampling operators based on fejér and sinc-type kernels
publisher De Gruyter
series Demonstratio Mathematica
issn 2391-4661
publishDate 2016-03-01
description In this paper, we obtain strong localization results and local direct results in the approximation of continuous functions by the non-truncated max-product sampling operators based on Fejér and sinc (Wittaker)-type kernels. These operators present potential applications in signal theory.
topic max-product sampling operators
signal theory
Fejér-type kernel
sinc (Whitaker-type) kernel
localization result
local direct result
Lipschitz function on subintervals
Primary 41A36, 41A40
Secondary 41A27, 41A20, 94A12
url http://www.degruyter.com/view/j/dema.2016.49.issue-1/dema-2016-0005/dema-2016-0005.xml?format=INT
work_keys_str_mv AT coroianulucian localizationresultsforthenontruncatedmaxproductsamplingoperatorsbasedonfejerandsinctypekernels
AT galsoring localizationresultsforthenontruncatedmaxproductsamplingoperatorsbasedonfejerandsinctypekernels
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