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

Year 2019, Volume: 8 Issue: 3, 889 - 902, 30.09.2019

Kadir Kanat , Melek Sofyalıoğlu

https://doi.org/10.17798/bitlisfen.582238

Cited By: 3

https://izlik.org/JA34YK78AX

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

(pq)-Baskakov-Stancu Operators , Weighted Korovkin Theorem , Modulus of Continuity

Stancu Tipli (p,q)-Baskakov Operatörlerinin Yaklaşım Özellikleri

https://izlik.org/JA34YK78AX

Abstract

Bu makale Baskakov
operatörlerinin Stancu tipli modifikasyonlarının (p,q)-tamsayılar kullanılarak inşaa edilmesiyle
ilgilenmektedir. Yaklaşım derecesi Peetre-K fonksiyonelleri ve süreklilik
modülü kullanılarak çalışılmıştır. Buna ek olarak yeni operatörlerin noktasal
yaklaşımı bir Lipschitz uzayındaki sürekli ve sınırlı fonksiyonlar ve bir Lipschitz-tipli
maksimal fonksiyon için incelenmiştir. Sonuç olarak, üretilen operatörlerin
bazı fonksiyonlara yakınsaklığı MATLAB yardımıyla  elde edilen grafiklerle gösterilmiştir.

Keywords

(pq)-Baskakov-Stancu Operatörleri , Ağırlıklı Korovkin Metod , Süreklilik Modülü

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