Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process

Abstract

Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted Lp spaces, 1≤p<∞ for univariate and multivariate functions, respectively. Furthermore, we obtain these types of approximation theorems by means of 𝒜-summability which is a stronger convergence method than ordinary convergence.