Korovkin type approximation theorem via K_a−convergence on weighted spaces

Abstract

In this paper, we study the Korovkin type approximation theorem for Ka‐ convergence, which is an interesting convergence method on weighted spaces. We also study the rate of Ka−convergence by using the weighted modulus of continuity and afterwards, we present a nontrivial application.

On new Bézier bases with Schurer polynomials and corresponding results in approximation theory

“…A Korovkin type approximation theorem via K a -convergence on weighted spaces is studied by Y¬ld¬z et al in [31] and a new concept, statistical e-convergence, is introduced by Sever and Talo in [18,24,32]. As a future work we may study the approximation properties of operators de…ned in this article and other Bernstein type operators using those convergence types.…”