Abstract
Starting from a general sequence of linear positive operators of discrete type we indicate a method to associate its an integral extension in Kantorovich sense. Numerous special cases are highlighted. Approximation properties of this extension are stated. Our goal is to show how such properties can be inherited from the discrete process to the integral construction.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Positive approximation process · Bohman–Korovkin theorem ·Weighted approximation · Modulus of continuity · Statistical convergence
Paper coordinates
O. Agratini, Kantorovich sequences associated to general approximation processes, Positivity, 19 (2015), pp. 681-693. https://doi.org/10.1007/s11117-015-0322-z
requires subscription: https://doi.org/10.1007/s11117-015-0322-z
About this paper
Print ISSN
1385-1292
Online ISSN
1572-9281
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