On The Convergence Properties of Kantorovich-Szasz Type Operators Involving Tangent Polynomials

Year 2021, Volume: 11 Issue: 2, 244 - 252, 31.12.2021

Erkan Ağyüz

https://doi.org/10.37094/adyujsci.905311

Cited By: 3

Abstract

In this paper, we construct a variant of the Kantorovich Szazs type operators involving the Tangent polynomials and estimate convergence properties of these operators by using Korovkin theorem. Also we obtain the rate of convergence by using modulus of convergence and Peteer’s K-functional.

Keywords

Tangent polynomials, Kantorovich-Szazs type operators, Rate of convergence, Generating functions, Korovkin theorems

Tanjant Polinomlarını İçeren Kantorovich-Szász Tipli Operatörlerin Yakınsama Özellikleri Üzerine

Abstract

Bu çalışmada, Tanjant polinomlarını içeren Kantorovich-Szász tipli operatörlerin bir varyantı oluşturulup, Korovkin teoremi kullanılarak bu operatörün yakınsaklık özellikleri tahmin edilmiştir. Ayrıca Peetre’s K- fonksiyoneli ve süreklilik modülü kullanılarak yakınsaklık hızı elde edilmiştir.

Keywords

Tangent polynomials; Kantorovich-Szász type operators; Rate of convergence; Generating functions; Korovkin theorems

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