- Mathematical Sciences and Applications E-Notes
- Vol: 10 Issue: 2
- Approximation for $q$-Chlodowsky Operators via Statistical Convergence with Respect to Power Series ...
Approximation for $q$-Chlodowsky Operators via Statistical Convergence with Respect to Power Series Method
Authors : Halime TAŞER, Tuğba YURDAKADİM
Pages : 72-81
Doi:10.36753/mathenot.992220
View : 8 | Download : 32
Publication Date : 2022-06-01
Article Type : Research
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