Kantorovich-type operators preserving affine functions

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Hacettepe Journal of Mathematics and Statistics
Volume:45 Issue:6
Kantorovich-type operators preserving affine functions

Kantorovich-type operators preserving affine functions

Authors : Octavian AGRATİNİ

Pages : 1657-1663

View : 67 | Download : 12

Publication Date : 2016-12-01

Article Type : Research 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.
Keywords : Szász Mirakjan operator, Baskakov operator, Stancu operator, Kantorovich operator

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