Approximation via equi-statistical convergence in the sense of power series method
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Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Italia Srl
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we define a new type of convergence using the notions of statistical convergence in the sense of the power series method and equi-statistical convergence then, we give an example that supports this new definition and after that we use it to prove a Korovkin-type approximation theorem. This theorem is a non-trivial generalization of Korovkin-type approximation theorems that have been studied in earlier papers. Also, we present an example that satisfies our approximation theorem which hasn't satisfied the one studied before. Moreover, we calculate the rate of equi-statistical convergence in the sense of the power series method and then, we prove a Voronovskaya-type approximation theorem. Finally, we summarize our results in the conclusion section.
Açıklama
Anahtar Kelimeler
Statistical convergence with respect to power series method, Equi-statistical convergence, Rate of convergence, Voronovskaya-type approximation theorem, Korovkin-type approximation theorem
Kaynak
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
116
Sayı
2
