Article ID Journal Published Year Pages File Type
6420074 Applied Mathematics and Computation 2015 6 Pages PDF
Abstract

Considering a general class of discrete linear positive operators, by using a one-to-one function, we associate to the class mentioned above a new sequence of operators. Our aim is to establish the transfer of approximation properties on this construction. The study is carried out in a weighted space and our results are materialized in obtaining both a convergence theorem of Korovkin type and an inequality for the approximation error expressed in terms of a certain weighted modulus of smoothness. Two particular cases are analyzed.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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