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

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:
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
Online Access:http://www.degruyter.com/view/j/dema.2016.49.issue-1/dema-2016-0005/dema-2016-0005.xml?format=INT
Description
Summary: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.
ISSN:2391-4661

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