Approximation of analytic functions by a class of linear positive operators
type: Item
instance of: scholarly article
title: Approximation of analytic functions by a class of linear positive operators
zbMATH Open document ID: 0588.41019
DOI: 10.1016/0021-9045(85)90079-6
author: B. Kunwar
published in: Journal of Approximation Theory
publication date: 1985-01-01T00:00:00Z
review text: A class of nonnegative, measurable, complex functions is defined as admissible kernels. The paper proves Korovkin theorems for the operators defined from the admissible kernels. The conditions involve concepts such as common bounding functions for the kernel and approximated functions, and bounds for weighted \(L_ p\) norms of the kernels. The paper proves that for functions regular in a certain domain, the operators converge uniformly on compact subsets. It is also shown that the region of convergence is best possible.
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 3944474
zbMATH Keywords: kernels
zbMATH Keywords: Korovkin theorems
zbMATH Keywords: weighted \(L_ p\) norms
zbMATH Keywords: region of convergence
MaRDI profile type: Publication
full work available at URL: 0021-9045(85)90079-6
OpenAlex ID: W2053504460
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description: scientific article; zbMATH DE number 3944474