Open AccessSTRONG SUMMATION PROCESS IN LOCALLY INTEGRABLE FUNCTION SPACES
Author(s) -
Nilay Şahin Bayram
Publication year - 2015
Publication title -
hacettepe journal of mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 1303-5010
DOI - 10.15672/hjms.20164513102
Subject(s) - mathematics , integrable system , summation by parts , pure mathematics , locally integrable function , process (computing) , function (biology) , function space , mathematical analysis , evolutionary biology , biology , computer science , operating system
In this paper, using the concept of strong summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from $L_p,q (loc)$ into itself. We also study modulus of continuity for $L_p,q (loc)$ approximation and give the rate of convergence of these operators.
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