ASYMPTOTIC DOUBLE SUBSERIES

Patterson R. F., Srivastava H., SAVAŞ E.

Publications de l'Institut Mathematique, cilt.112, sa.126, ss.143-150, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112 Sayı: 126
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/pim2226143p
  • Dergi Adı: Publications de l'Institut Mathematique
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), MathSciNet, zbMATH
  • Sayfa Sayıları: ss.143-150
  • Anahtar Kelimeler: Double sequences, Double subseries, P-convergent
  • Uşak Üniversitesi Adresli: Evet

Özet

In 1964 Šalát presented a notion of asymptotic density of single dimensional subseries. Using this notion he presented a series of theorems similar to the following. If dn be a decreasing sequence such that (Formula Presented) and let the subseries (Formula Presented) of the series (Formula Presented) be convergent, then (Formula Presented). Following Šalát’s patten, we present a notion of double subseries and a natural variation of Šalát’s theorem.