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Kantorovich sequences associated to general approximation processes

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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.

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  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Str. Kogălniceanu, 1, 400084, Cluj-Napoca, Romania

    Octavian Agratini

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  1. Octavian Agratini
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Correspondence to Octavian Agratini.

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Agratini, O. Kantorovich sequences associated to general approximation processes. Positivity 19, 681–693 (2015). https://doi.org/10.1007/s11117-015-0322-z

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  • DOI: https://doi.org/10.1007/s11117-015-0322-z

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