Subseries of a monotone P-divergent double series

---

Copy For Citation

Patterson R. F., Savas E.

Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, vol.1, no.F2, pp.313-315, 2016 (Scopus)

• Publication Type: Article / Article
• Volume: 1 Issue: F2
• Publication Date: 2016
• Journal Name: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
• Journal Indexes: Scopus
• Page Numbers: pp.313-315
• Keywords: Double sequence, P –convergent, Pringsheim limit point, RH-regular
• Uşak University Affiliated: No

Abstract

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.