On Statistical and Strong Convergence with Respect to a Modulus Function and a Power Series Method

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Belen C., YILDIRIM M., Sumbul C.

FILOMAT, cilt.34, sa.12, ss.3981-3993, 2020 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 12
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2012981b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.3981-3993
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

This paper introduces and focuses on two pairs of concepts in two main sections. The first section aims to examine the relation between the concepts of strong J(p)-convergence with respect to a modulus function f and J(p)-statistical convergence, where J(p) is a power series method. The second section introduces the notions of f-J(p)-statistical convergence and f-strong J(p)-convergence and discusses some possible relations among them.