DEFERRED RIESZ STATISTICAL CONVERGENCE VIA J2p-POWER SERIES METHOD FOR DOUBLE SEQUENCES AND ITS APPLICATION TO KOROVKIN TYPE APPROXIMATION THEOREM

Coşar B., Mursaleen M., YILDIRIM M.

Palestine Journal of Mathematics, cilt.15, sa.2, ss.493-507, 2026 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2026
  • Dergi Adı: Palestine Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.493-507
  • Anahtar Kelimeler: and phrases: Power series method, Deferred Riesz convergence, Deferred Riesz statistical convergence, Double sequences, J2p−Power series method, Riesz statistical convergence, Statistical (N, sm, tn) convergence, Strongly deferred Riesz convergence, Strongly Riesz convergence
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this article, we study the statistical N, sm, tn convergence, strongly Riesz convergence, Riesz statistical convergence concepts for double real number sequences. We also compare the concepts of deferred Riesz convergence, strongly deferred Riesz convergence, deferred Riesz statistical convergence for double sequences as related to the J2p−power series method. As an application, a Krovkin’s type approximation theorem related to this method is given.