Kantorovich sequences associated to general approximation processes


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.


Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Positive approximation process · Bohman–Korovkin theorem ·Weighted approximation · Modulus of continuity · Statistical convergence

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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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