Korovkin type approximation theorems for weighted ??-statistical convergence
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The concept of alpha beta-statistical convergence was introduced and studied by Aktu. glu (Korovkin type approximation theorems proved via alpha beta-statistical convergence, J Comput Appl Math 259: 174-181, 2014). In this work, we generalize the concept of alpha beta-statistical convergence and introduce the concept of weighted alpha beta-statistical convergence of order., weighted alpha beta-summability of order gamma, and strongly weighted alpha beta-summable sequences of order gamma. We also establish some inclusion relation, and some related results for these new summability methods. Furthermore, we prove Korovkin type approximation theorems through weighted alpha beta-statistical convergence and apply the classical Bernstein operator to construct an example in support of our result.
Açıklama
Anahtar Kelimeler
Korovkin Type Theorems, Weighted Alpha Beta-Summability, Rate Of The Weighted Alpha Beta-Statistical Convergent, Positive Linear Operator
Kaynak
Bulletin Of Mathematical Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
5
Sayı
2
