Subseries of a monotone P-divergent double series

Patterson R. F., Savas E.

Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, cilt.1, sa.F2, ss.313-315, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1 Sayı: F2
  • Basım Tarihi: 2016
  • Dergi Adı: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.313-315
  • Anahtar Kelimeler: Double sequence, P –convergent, Pringsheim limit point, RH-regular
  • Uşak Üniversitesi Adresli: Hayır

Özet

This paper present the following general characterization of P -divergency of double subseries. Let (Im, Jn) be a Pringsheim increasing double sequence of distance positive order pair of integers, and let ∑dm,n be a monotone P-divergent double series. A necessary and sufficient condition for the P -divergence of the subseries ∑dIm,Jn is thatImm andJnn are bounded.