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Multiplier sequence spaces of fuzzy numbers defined by a Musielak-Orlicz function

Raj K., Gupta A.

Journal of Mathematics and Applications

2012

Vol. 35

69--81

In this paper we introduce some multiplier sequence spaces of fuzzy number by using a Musielak-Orlicz function ℳ = (Mk) and multiplier function u = (uk) and prove some inclusion relations between the resulting sequences spaces.

A short note on a multiplier of the Nörlund means and convex maps of the unit disc

Ali Z. S.

Fasciculi Mathematici

2011

Nr 46

17--24

The problem of a multiplier !(n) of the Norlund means and convex maps of the unit disc is being considered again, but with a multiplier !(n) of dierent form then that appeared by Ziad S. Ali in [1]. With this we would have brought up again in a rather unied approach the results of G. Polya, and I.J. Schonberg in [7], T. Basgoze, J.L. Frank and F.R. Keogh in [3], and Ziad S. Ali in [2]. The new multiplier w(n) gives rise to interesting applications related to function expansion by the Chebychev polynomials of the rst and the second kind, an application to bionomial trigonometric formulas and an application to the subordination principle.

Some generalized difference sequence spaces defined by a sequence of Orlicz functions

Başarir M., Altundag S.

Fasciculi Mathematici

2009

Nr 41

17-30

In this paper, we define and examine some new difference sequence spaces combining with de la Vallee-Poussin mean and a sequence of Orlicz functions which completes the gap of the literature. We also introduce the concept of S -statistical convergent sequences and give some inclusion relations between these defined spaces with the space of -statistical convergent sequences.

On some generalized new type difference sequence spaces defined by a modulus function in a seminformed space

Esi A., Tripathy B. C.

Fasciculi Mathematici

2008

Nr 40

15-24

The idea of difference sequence spaces were introduced by Kizmaz [6] and generalized by Et. and Colak [4]. Later Tripathy, Esi and Tripathy [15] introduced the notion of the new difference operator Δnm for n, m ∈ N. In this paper we introduced some new type of generalized difference sequence spaces defined by a modulus function and the new type of statistically convergent generalized difference sequence space. We study their different properties and obtain some inclusion relations involving these new type difference sequence spaces.