Displaying similar documents to “Statistical convergence of double sequences on probabilistic normed spaces.”

Two valued measure and some new double sequence spaces in 2 -normed spaces

Pratulananda Das, Ekrem Savaş, Santanu Bhunia (2011)

Czechoslovak Mathematical Journal

Similarity:

The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in 2 -normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.

Lacunary equi-statistical convergence of positive linear operators

Hüseyin Aktuğlu, Halil Gezer (2009)

Open Mathematics

Similarity:

In this paper, the concept of lacunary equi-statistical convergence is introduced and it is shown that lacunary equi-statistical convergence lies between lacunary statistical pointwise and lacunary statistical uniform convergence. Inclusion relations between equi-statistical and lacunary equi-statistical convergence are investigated and it is proved that, under some conditions, lacunary equi-statistical convergence and equi-statistical convergence are equivalent to each other. A Korovkin...

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.