Displaying similar documents to “Double sequence core theorems.”

Matrix characterization of oscillation for double sequences

Richard Patterson, Jeff Connor, Jeannette Kline (2008)

Open Mathematics

Similarity:

The notion of oscillation for ordinary sequences was presented by Hurwitz in 1930. Using this notion Agnew and Hurwitz presented regular matrix characterization of the resulting sequence space. The primary goal of this article is to extend this definition to double sequences, which grants us the following definition: the double oscillation of a double sequence of real or complex number is given P-lim sup(m,n)→∞;(α,β)→∞|S m,n-S α,β|. Using this concept a matrix characterization of double...

Double Sequence Spaces Definedby a Sequence of Modulus Functions over n -normed Spaces

Sunil K. Sharma, Ayhan Esi (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

In the present paper we introduce some double sequence spaces defined by a sequence of modulus function F = ( f k , l ) over n -normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces.