A - Summation process in the space of locally integrable functions

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Bayram N. S., ORHAN C.

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, cilt.65, sa.2, ss.255-268, 2020 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.24193/subbmath.2020.2.07
  • Dergi Adı: STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.255-268
  • Anahtar Kelimeler: Summation process, positive linear operators, locally integrable functions, Korovkin type theorem, modulus of continuity, rate of convergence, KOROVKIN-TYPE, CONVERGENCE, APPROXIMATION, OPERATORS, THEOREMS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, using the concept of summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from L-p,L-q (loc), the space of locally integrable functions, into itself. We also study rate of convergence of these operators.