Kantorovich-type operators preserving affine functions

2 years ago

(original), Approximation Theory, Linear and positive approximation operators, not-at-ICTP, paper

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.

PDF

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also available at the publisher: https://dergipark.org.tr/en/download/article-file/644569

About this paper

Journal

Hacettepe Journal of Mathematics and Statistics

Publisher Name

Hacettepe University

DOI

Print ISSN

2651-477X

Online ISSN