Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems
Yazarlar (1)
Prof. Dr. Sevda AKDAĞ Sinop Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Results in Mathematics (Q2)
Dergi ISSN 1422-6383 Dergi Bilgileri (2017)
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 11-2017
Kabul Tarihi Yayınlanma Tarihi 18-08-2016
Cilt / Sayı / Sayfa 72 / 3 / 1073–1085 DOI 10.1007/s00025-016-0591-2
Makale Linki http://link.springer.com/10.1007/s00025-016-0591-2
UAK Araştırma Alanları
Matematiksel Analiz
Özet
In this paper, the concepts of weighted statistical pointwise convergence, weighted statistical uniform convergence and weighted equi-statistical convergence are introduced. Then, using weighted equi-statistical convergence, a general Korovkin type theorem is obtained. Also, an example such that our new approximation result works but its classical case does not work is constructed.
Anahtar Kelimeler
equi-statistical convergence | Korovkin type approximation theorem | Statistical convergence | Voronovskaya type theorem | weighted equi-statistical convergence