Approximation by truncated Lupaş operators of max-product kind

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:2
Approximation by truncated Lupaş operators of max-product kind

Approximation by truncated Lupaş operators of max-product kind

Authors : Mediha ÖRKCÜ, Özge DALMANOĞLU, Fatma Büşra HATİPOĞLU

Pages : 924-939

Doi:10.31801/cfsuasmas.898098

View : 31 | Download : 7

Publication Date : 2021-12-31

Article Type : Research Paper

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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