Statistical Relative Equal Convergence Of Double Function Sequences And Korovkin-Type Approximation Theorem
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tsing Hua Univ, Dept Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we introduce our new concept of the statistical equal convergence for double function sequences. Later, we introduce the concept of statistical relative equal convergence of double function sequences which is stronger than the notion of statistical relative convergence and statistical uniform convergence to demonstrate a Korovkin type approximation theorem and prove that our theorem is a non-trivial extension of some well-known Korovkin type approximation theorems which were proven by earlier authors. We present an example in support of our definition and result presented in this paper. Finally, we study Voronovskaya type theorem via statistical relative equal convergence.
Açıklama
Anahtar Kelimeler
Uniform-Convergence
Kaynak
Applied Mathematics E-Notes
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
19
