Gama Tipi Operatörün (p, q)-tamsayı İkililerine Dayalı Yaklaşım Özellikleri

Year 2022, Volume: 22 Issue: 4, 754 - 760, 31.08.2022

Ümit Karabıyık

https://doi.org/10.35414/akufemubid.1066520

Abstract

Literatürde; q ve (p,q)-hesabı üzerindeki kapsamlı çalışma q ve (p,q)-tamsayı ikililerini içeren birçok operatörün farklı genellemelerinin tanımlanmasına büyük ölçüde katkıda bulunmuştur. Size sunacağımız bu çalışmada (p,q)-tamsayı ikililerine göre gama tipi operatörü tanımlayarak süreklilik modül açısından asimtotik formül ve hata tahmini içeren bazı doğrudan sonuçlar elde edeceğiz. Ayrıca, bu operatörlerin ağırlıklı bir uzayda yakınsaklığını araştırarak ve yakınsaklık oranını tahmin ediyoruz.

Keywords

Gama tipi operatör, Ağırlıklı süreklilik modülü, Lokal yaklaşım, (p;q)-Tamsayı ikilileri

On Approximation Properties of Gamma Type Operator Based on (p,q)-İnteger

Abstract

In the literature; extensive work on the q and (p,q)-calculus has contributed greatly to describing the different generalizations of many operators involving the q and (p,q)-integers. In this study, we will present to you, that we define Gamma type operator based on (p,q)-integer. We get some direct output including asymptotic formula and error estimation in terms of modulus continuity. In addition, as a result of the research, we estimate the convergence rate of these operators in a weighted space.

Keywords

Gamma type operator, The weighted modulus of continuity, Local approximation, (p;q)-integer

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