Korovkin type approximation via triangular A−statistical convergence on an infinite interval

Abstract

In the present paper, using the triangular A− statistical convergence for double sequences, which is an interesting convergence method, we prove a Korovkin-type approximation theorem for positive linear operators on the space of all real-valued continuous functions on [0, ∞) × [0, ∞) with the property that have a finite limit at the infinity.Moreover, we present the rate of convergence via modulus of continuity. Finally, we give some further developments.

Some Korovkin-Type Approximation Theorems Associated with a Certain Deferred Weighted Statistical Riemann-Integrable Sequence of Functions

“…In Real Analysis, Harmonic Analysis and other related fields, this notion is immensely useful. In this regard, we have chosen to refer the interested reader to the recent works (see, for example, [19][20][21][22][23][24][25][26][27][28]).…”