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Statistical (C,1) (E,1) summability and Korovkin’s theorem
Author(s) -
Tuncer Acar,
S. A. Mohiuddine
Publication year - 2016
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1602387a
Subject(s) - mathematics , type (biology) , product (mathematics) , convergence (economics) , rate of convergence , linear operators , discrete mathematics , pure mathematics , mathematical analysis , geometry , ecology , channel (broadcasting) , engineering , electrical engineering , economics , bounded function , biology , economic growth
Korovkin-type approximation theory usually deals with convergence analysis for sequences of positive operators. This approximation theorem was extended to more general space of sequences via different way such as statistical convergence, summation processes. In this work, we introduce a new type of statistical product summability, that is, statistical (C,1) (E,1) summability and further apply our new product summability method to prove Korovkin type theorem. Furthermore, we present a rate of convergence which is uniform in Korovkin type theorem by statistical (C,1)(E,1) summability.

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