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.
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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.
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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.
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