Approximation for $q$-Chlodowsky Operators via Statistical Convergence with Respect to Power Series Method

Year 2022, Volume: 10 Issue: 2, 72 - 81, 01.06.2022

Halime Taşer Tuğba Yurdakadim

https://doi.org/10.36753/mathenot.992220

Abstract

Many results which are obtained or unable to obtained by classical calculus have also been studied by q-calculus. It is effective to use q-calculus since it acts as a bridge between mathematics and physics. The q-analog of Chlodowsky operators has been introduced and the approximation properties of these operators have been studied in [12]. Then in [23], the q-analog of Stancu-Chlodowsky operators has been introduced and some approximation results of these operators have been studied via A-statistical convergence which is a more general setting.In this paper, we present the approximation properties of q-Chlodowsky operators via statistical convergence with respect to power series method. It is noteworthy to mention that statistical convergence and statistical convergence with respect to power series method are incompatible.

Keywords

q-calculus, Chlodowsky operators, approximation theory, power series method, statistical convergence

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