A note on generalized -summability factors for infinite series.
On general summability factor theorems.
On -statistically convergent double sequences of fuzzy numbers.
Some new double sequence spaces defined by Orlicz function in -normed space.
On absolute Cesàro summability.
A note on summability factors for infinite series.
A summability factor theorem for absolute summability involving almost increasing sequences.
On inclusion relations for absolute summability.
Some -type new sequence spaces and their geometric properties.
On double statistical -convergence of fuzzy numbers.
Summability of double independent random variables.
σ-asymptotically lacunary statistical equivalent sequences
This paper presents the following definitions which is a natural combination of the definition for asymptotically equivalent, statistically limit, lacunary sequences, and σ-convergence. Let ϑ be a lacunary sequence; Two nonnegative sequences [x] and [y] are S σ,8-asymptotically equivalent of multiple L provided that for every ε > 0 uniformly in m = 1, 2, 3, ..., (denoted by x y) simply S σ,8-asymptotically equivalent, if L = 1. Using this definition we shall prove S σ,8-asymptotically equivalent...
On some consequences of a generalized continuity
In normed linear space settings, modifying the sequential definition of continuity of an operator by replacing the usual limit "" with arbitrary linear regular summability methods we consider the notion of a generalized continuity (-continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.
Some -sequence spaces defined by a modulus
The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vallée–Poussin means and the concept of a modulus function.
Some sequence spaces defined by Orlicz functions
In this paper we introduce a new concept of -strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces. It is also shown that if a sequence is -strongly convergent with respect to an Orlicz function then it is -statistically convergent.
Statistical convergence of sequences of fuzzy numbers
On -statistically convergence and lacunary -statistically convergence
On matrix transformations of some generalized sequence space
Some new sequence spaces defined by lacunary sequences
Two valued measure and some new double sequence spaces in -normed spaces
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 -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.
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