✦ LIBER ✦

Tauberian Theorems for Power Series Methods Applied to Double Sequences

✍ Scribed by S Baron; U Stadtmüller

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 207 KB
Volume: 211
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5473

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✦ Synopsis

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.

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A family of generalized Nörlund methods

A family of generalized Nörlund methods and related power series methods applied to double sequences

✍ Ulrich Stadtmüller; Anne Tali 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 196 KB

## Abstract Inclusion, convexity and Tauberian theorems are proved for certain generalized Nörlund methods and power series methods applied to double sequences. Families of summability methods are developed which form a hierarchy of methods and can be used to connect matrix and power series methods