𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Invariant Core Theorems for Double Sequences

✍ Scribed by Richard F. Patterson


Publisher
Springer
Year
2000
Weight
60 KB
Volume
24
Category
Article
ISSN
0129-2021

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A category theorem for double sequences
✍ Richard F. Patterson; Ekrem Savas πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 207 KB
Tauberian Theorems for Power Series Meth
✍ S Baron; U StadtmΓΌller πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 207 KB

We discuss the relations between power series methods, weighted mean methods, and ordinary convergence for double sequences. In particular, we study Tauberian theorems for methods being products of the related one-dimensional summability methods.

Tauberian theorems for double sequences
✍ Ferenc MΓ³ricz πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 187 KB

Let (x jk : j, k = 0, 1, 2, . . .) be a double sequence of real or complex numbers, and set x jk for m, n = 0, 1, 2, . . . . We give necessary and sufficient conditions, under which st-lim Οƒ mn = ΞΎ implies st-lim x jk = ΞΎ, where ΞΎ is a finite number. These Tauberian conditions are one-sided when th