Statistical Approximation for Periodic Functions of Two Variables

Approximation for Periodic Functions via Statistical A-summability

In this paper, using the concept of statistical A-summability which is stronger than the A-statistical convergence, we prove a Korovkin type approximation theorem for sequences of positive linear operator defined on C∗(R) which is the space of all 2π-periodic and continuous functions on R, the set of all real numbers. We also compute the rates of statistical A-summability of sequence of positiv...

Approximation for periodic functions via weighted statistical convergence

Keywords: Density Statistical convergence Weighted statistical convergence Positive linear operator Korovkin type approximation theorem a b s t r a c t Korovkin type approximation theorems are useful tools to check whether a given sequence ðL n Þ nP1 of positive linear operators on C½0; 1Š of all continuous functions on the real interval ½0; 1Š is an approximation process. That is, these theore...

Approximation for periodic functions via statistical σ−convergence

In this study, using the concept of statistical σ−convergence which is stronger than convergence and statistical convergence we prove a Korovkin-type approximation theorem for sequences of positive linear operators defined on C∗ which is the space of all 2π-periodic and continuous functions on R, the set of all real numbers. We also study the rates of statistical σ−convergence of approximating ...

Approximation of smooth periodic functions in several variables

Korovkin type approximation theorem for functions of two variables through statistical A-summability

* Correspondence: [email protected] Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India Full list of author information is available at the end of the article Abstract In this article, we prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical A-summability. We also study the rate of statistical A-summability of p...