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Kantorovich sequences associated to general approximation processes

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

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About this paper

Journal

Positivity

Publisher Name

Springer

Print ISSN

1385-1292

Online ISSN

1572-9281

google scholar link

2015

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