title: 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.
authors.affiliation: Kırıkkale University, Faculty of Science and Arts, Department of Mathematics, Yahşihan, Kırıkkale, Turkey.
authors.forename: Tuncer
authors.initials: T
authors.lastname: Acar
authors.forename: Fadime
authors.initials: F
authors.lastname: Dirik
mesh_terms: D016014:Linear Models; D055641:Mathematical Concepts; D008962:Models, Theoretical; D015999:Multivariate Analysis