Scopus
YÖKSİS Eşleşti
A Note on Approximation Properties of Bernstein-type Operators via Some Summability Methods
Turkish Journal of Mathematics and Computer Science · Aralık 2024
YÖKSİS Kayıtları
A NOTE ON APPROXIMATION PROPERTIES OF BERNSTEIN-TYPE OPERATORS VIA SOME SUMMABILITY METHODS
Turkish Journal of Mathematics and Computer Science · 2024 Scopus
DOÇENT DİLEK SÖYLEMEZ ÖZDEN →
A Note on Approximation Properties of Bernstein-type Operators via Some
Summability Methods
Turkish Journal of Mathematics and Computer Science · 2024 Scopus
DOÇENT DİLEK SÖYLEMEZ ÖZDEN →
Makale Bilgileri
DergiTurkish Journal of Mathematics and Computer Science
Yayın TarihiAralık 2024
Cilt / Sayfa16 · 358-366
Scopus ID2-s2.0-85214371222
Özet
In this paper, we focus on two summability methods and investigate some applications of them for the Cheney-Sharma operators. We obtain approximation properties of the Cheney-Sharma operators via power series statistical convergence. We also analyze the convergence rates employing both the modulus of continuity and elements of the Lipschitz class. Additionally, we define r-th order generalization of these operators which is linear but don’t satisfy the positivity property and investigate approximation properties of these operators, via A-statistical convergence. We support our results with an example and a graph.
Yazarlar (2)
1
Di̇lek Söylemez
2
Emre Güven
ORCID: 0000-0002-6000-8077
Anahtar Kelimeler
A-statistical convergence
Cheney-Sharma operators
power series statistical convergence
rate of the convergence
r-th order gener-alizations
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
1
Atıf
2
Yazar
5
Anahtar Kelime