Kantorovich-type operators preserving affine functions

Year 2016, Volume: 45 Issue: 6, 1657 - 1663, 01.12.2016

Octavian Agratini

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

References

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