Statistical (C, 1) (E, 1) Summability and Korovkin's Theorem

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Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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.

Açıklama

Acar, Tuncer/0000-0003-0982-9459; Mohiuddine, S. A./0000-0002-9050-9104

Anahtar Kelimeler

Korovkin theorem, Positive linear operators, Statistical convergence

Kaynak

Filomat

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

30

Sayı

2

Künye

closedAccess