Korovkin type approximation theorems in weighted spaces via power series method

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Taş E., Yurdakadim T., Atlihan O.

Operators and Matrices, cilt.12, sa.2, ss.529-535, 2018 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.7153/oam-2018-12-32
  • Dergi Adı: Operators and Matrices
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.529-535
  • Anahtar Kelimeler: Korovkin type theorem, Power series method, Rates of convergence, Weighted space
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Hayır

Özet

In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin type approximation theorem for a sequence of positive linear operators acting from a weighted space Cρ1 into a weighted space Bρ2 with the use of the power series method which includes both Abel and Borel methods. We also consider the rates of convergence of these operators.