Abstract
Starting from positive linear operators which have the capability to reproduce affine functions, we design integral operators of Kantorovichtype which enjoy by the same property. We focus to show that the error of approximation can be smaller than in classical Kantorovich construction on some subintervals of its domain. Special cases are presented
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Szász-Mirakjan operator, Baskakov operator, Stancu operator, Kantorovich operator, modulus of continuity.
Paper coordinates
O. Agratini, Kantorovich-type operators preserving affine functions, Hacettepe Journal of Mathematics and Statistics, 45 (2016) no. 6, pp. 1657-1663.
About this paper
Journal
Hacettepe Journal of Mathematics and Statistics
Publisher Name
Hacettepe University
DOI
Print ISSN
2651-477X
Online ISSN
2651-477X
google scholar link
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