Rates of Power Series Statistical Convergence of Positive Linear Operators and Power Series Statistical Convergence of q-Meyer-Konig and Zeller Operators

Soylemez D., ÜNVER M.

LOBACHEVSKII JOURNAL OF MATHEMATICS, cilt.42, sa.2, ss.426-434, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1134/s1995080221020189
  • Dergi Adı: LOBACHEVSKII JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.426-434
  • Anahtar Kelimeler: q-Meyer-Konig and Zeller operators, power series statistical convergence, rate of convergence, APPROXIMATION THEOREMS, WEIGHTED SPACES, SUMMABILITY, RESPECT
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we compute the rates of convergence of power series statistical convergence of sequences of positive linear operators. We also investigate some Korovkin type approximation properties of the q-Meyer-Konig and Zeller operators and Durrmeyer variant of the q-Meyer-Konig and Zeller operators via power series statistical convergence. We show that the approximation results obtained in this paper expand some previous approximation results of the corresponding operators.