Open AccessKOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES
Author(s) -
Sevda Yıldız
Publication year - 2018
Publication title -
sakarya university journal of science
Language(s) - English
Resource type - Journals
eISSN - 2147-835X
pISSN - 1301-4048
DOI - 10.16984/saufenbilder.383770
Subject(s) - modular design , mathematics , convergence (economics) , linear operators , extension (predicate logic) , pure mathematics , type (biology) , spectral theorem , discrete mathematics , operator theory , algebra over a field , computer science , mathematical analysis , economic growth , programming language , economics , operating system , biology , ecology , bounded function
In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators. We give an application showing that the new result is stronger than classical ones. Also, we study an extension to non-positive operators.
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