MMN-744

Some general Baskakov type operators

Abstract

A general class of linear positive operators which generalizes Baskakov's operator is consrtucted. The operators of this type which preserve exactly two test functions from the set $\{e_0,e_1,e_2\}$ are determined in each case, and for the operators obtained, we give their approximation theorem, convergence theorem and Voronovskaja-type theorem.


Vol. 15 (2014), No. 2, pp. 497-508
DOI: https://doi.org/10.18514/MMN.2014.744


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