Ekrem Savaş

Matrix transformations between sequence spaces of generalized weighted means

The main object of this paper is to introduce and study some sequence spaces which arise from concept of weighted means, determine their @b-duals and characterize matrix transformations between them.

A generalized statistical convergence via ideals

Abstract In this paper we make a new approach to the notions of [ V , λ ] -summability and λ -statistical convergence by using ideals and introduce new notions, namely, I − [ V , λ ] -summability and I − λ -statistical convergence. We mainly examine the relation between these two new methods as also the relation between I − λ -statistical convergence and I -statistical convergence introduced by the authors recently. We carry out the whole investigation in normed linear spaces.

On generalizations of certain summability methods using ideals

In this paper, following the line of Savas and Das (2011) [10], we provide a new approach to two well-known summability methods by using ideals, introduce new notions, namely, I-statistical convergence and I-lacunary statistical convergence, investigate their relationship, and make some observations about these classes.

A note on sequence of fuzzy numbers

Abstract In this short note, the space of bounded difference sequences of fuzzy numbers has been discussed.

On strongly l-summable sequences of fuzzy numbers

In this paper we introduce and study the concepts of strongly λ-summable and λ-statistical convergence.

Δm-Strongly summable sequences spaces in 2-normed spaces defined by ideal convergence and an Orlicz function

In this paper, we study certain new difference sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and we give some relations related to these sequence spaces.

On Some New Sequence Spaces in 2-Normed Spaces Using Ideal Convergence and an Orlicz Function

The purpose of this paper is to introduce certain new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their properties.

Some I-convergent lambda-summable difference sequence spaces of fuzzy real numbers defined by a sequence of Orlicz functions

Abstract In this paper we introduce certain new sequence spaces of fuzzy numbers defined by I -convergence using sequences of Orlicz functions and a difference operator of order m . We study some basic topological and algebraic properties of these spaces. Also we investigate the relations related to these spaces.

-Sequence Spaces in 2-Normed Space Defined by Ideal Convergence and an Orlicz Function

We study some new 𝐴-sequence spaces using ideal convergence and an Orlicz function in 2-normed space and we give some relations related to these sequence spaces.

Some p -Type New Sequence Spaces and Their Geometric Properties

We introduce an -type new sequence space and investigate its some topological properties including and properties. Besides, we examine some geometric properties of this space concerning Banach-Saks type and Gurariis modulus of convexity.