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A Korovkin Type Approximation Theorem for Balázs Type Bleimann, Butzer and Hahn Operators via Power Series Statistical Convergence
Mathematica Slovaca · Şubat 2022
YÖKSİS Kayıtları
A Korovkin Type Approximation Theorem For Balázs Type Bleimann, Butzer and Hahn Operators via Power Series Statistical Convergence
Mathematica Slovaca · 2022 SCI-Expanded
DOÇENT DİLEK SÖYLEMEZ ÖZDEN →
Makale Bilgileri
DergiMathematica Slovaca
Yayın TarihiŞubat 2022
Cilt / Sayfa72 · 153-164
Scopus ID2-s2.0-85126005296
Erişim🔓 Açık Erişim
Özet
In this paper, we obtain a Korovkin type approximation theorem for power series statistical convergence of functions belonging to the class produced by multivariable modulus of continuity function. As an application of this theorem, we construct a non-tensor product Balázs type BBH operator which does not converge in ordinary sense. Moreover, we study promised approximation properties of this operator and compute the rate of convergence. Finally, we prove that our new approximation result works but its classical case fails.
Yazarlar (1)
1
Di̇lek Söylemez
Anahtar Kelimeler
Balázs type Bleimann
Butzer and Hahn operators
Korovkin type theorem
Power series statistical convergence
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
9
Atıf
1
Yazar
4
Anahtar Kelime