Approximation by Szasz-Mirakjan-Baskakov operators based on shape parameter | Zendy

Reşat Aslan | Zendy

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Approximation by Szasz-Mirakjan-Baskakov operators based on shape parameter

Author(s) -

Reşat Aslan

Publication year - 2022

Publication title -

bulletin of the "transilvania" university of braşov. series iii, mathematics and computer science

Language(s) - English

Resource type - Journals

eISSN - 2810-2037

pISSN - 2810-2029

DOI - 10.31926/but.mif.2021.1.63.2.1

Subject(s) - mathematics , lipschitz continuity , modulus of continuity , convergence (economics) , baskakov operator , mathematical analysis , class (philosophy) , type (biology) , order (exchange) , operator theory , fourier integral operator , microlocal analysis , computer science , ecology , finance , artificial intelligence , economics , biology , economic growth

In this In this paper, we aim to obtain several approximation properties of Szasz-Mirakjan-Baskakov operators with shape parameter lambda in [-1,1]. We reach some preliminary results such as moments and central moments. Next, we estimate the order of convergence with respect to the usual modulus of continuity, for the functions belong to Lipschitz-type class and Peetre's K-functional, respectively. Also, we prove a result concerning the weighted approximation for these operators. Finally, we give the comparison of the convergence of these newly defined operators to certain functions with some graphics.

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