A sequence of positive linear operators associated with an approximation process

Octavian Agratini

Applied Mathematics and Computation, 2015, vol. 269, issue C, 23-28

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.

Keywords: Approximation process; Markov type operator; Weighted space; Weighted approximation; Modulus of smoothness (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:23-28

DOI: 10.1016/j.amc.2015.07.043

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