Approximation by truncated Lupaş operators of max-product kind

Year 2021, Volume: 70 Issue: 2, 924 - 939, 31.12.2021

Mediha Örkcü , Özge Dalmanoğlu , Fatma Büşra Hatipoğlu

https://doi.org/10.31801/cfsuasmas.898098

Abstract

The goals of the present paper are to introduce truncated Lupaş type operators
of max-product kind and give an estimation for the degree of approximation with respect to
first modulus of continuity function. We prove that this estimate can not be
improved; on the other hand, for some subclasses of functions, better degree
of approximation is obtained. We also showed the piecewise convexity of the constructed operators on the interval [0,1].

Keywords

Nonlinear max-product operators,, Lupaş Operators, the first modulus of continuity function, the rate of convergence

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