Korovkin type approximation theorems in weighted spaces via power series method

Taş, Emre; Yurdakadim, Tuğba; Atlıhan, Özlem Girgin

doi:10.7153/oam-2018-12-32

Cited by 8 publications

(1 citation statement)

References 8 publications

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“…The important results in approximation theory have also been studied by using different concepts of convergences such as statistical convergence, ideal convergence, summation process [3,4,8,11,20,24]. It is effective to use these concepts since they make a nonconvergent sequence to converge.…”

Section: Introductionmentioning

confidence: 99%

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

TAŞER

Yurdakadim

2022

Mathematical Sciences and Applications E-Notes

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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.

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