JOURNAL ARTICLE

Approximation Properties of Stancu-Type (p,q)-Baskakov Operators

Kadir KanatMelek Sofyalıoğlu

Year: 2019 Journal:   Bitlis Eren Üniversitesi Fen Bilimleri Dergisi Vol: 8 (3)Pages: 889-902

Abstract

This paper deals with constructing the Stancu type modication of the Baskakov operators using (p,q) - integers. We study the rate of convergence by using Peetre's K-functional and modulus of continuity. In addition, we examine the pointwise estimation of the new operators for continuous and bounded functions in a Lipschitz space and a Lipschitz-type maximal function. Finally, we illustrate the convergence of the constructed operators to some functions with the help of MATLAB.

Keywords:
Mathematics Lipschitz continuity Pointwise Rate of convergence Type (biology) Modulus of continuity Bounded function Pointwise convergence Applied mathematics Convergence (economics) Function (biology) Mathematical optimization Mathematical analysis Pure mathematics Computer science

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Citation History

Topics

Approximation Theory and Sequence Spaces
Physical Sciences →  Mathematics →  Statistics and Probability
Mathematical Approximation and Integration
Physical Sciences →  Mathematics →  Numerical Analysis
Advanced Harmonic Analysis Research
Physical Sciences →  Mathematics →  Applied Mathematics

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