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ISSN : 1226-0657
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Vol.16 No.3
Abstract
It is well known that for a sequence a = (<TEX>$a_0,\;a_1$</TEX>,...) the general term of the dual sequence of a is <TEX>$a_n\;=\;c_0\;^n_0\;+\;c_1\;^n_1\;+\;...\;+\;c_n\;^n_n$</TEX>, where c = (<TEX>$c_0,...c_n$</TEX> is the dual sequence of a. In this paper, we find the general term of the sequence (<TEX>$c_0,\;c_1$</TEX>,... ) and give another method for finding the inverse matrix of the Pascal matrix. And we find a simple proof of the fact that if the general term of a sequence a = (<TEX>$a_0,\;a_1$</TEX>,... ) is a polynomial of degree p in n, then <TEX>${\Delta}^{p+1}a\;=\;0$</TEX>.
Abstract
We introduce the concept of intuitionistic fuzzy minimal structure which is an extension of the intuitionistic fuzzy topological space. And we introduce and study the concepts of intuitionistic fuzzy M -continuity, intuitionistic fuzzy Mopen mappings and several types of intuitionistic fuzzy minimal compactness on intuitionistic fuzzy minimal spaces.
Abstract
We study the geometry of screen conformal light like hypersurfaces M of a semi- Riemannian manifold M. The main result is a characterization theorem for screen conformal lightlike hypersurfaces of a semi-Riemannian space form.
Abstract
A Hilbert space operator T is a 2-isometry if <TEX>$T^{{\ast}2}T^2\;-\;2T^{\ast}T+I$</TEX> = O. We shall study some properties of 2-isometries, in particular spectra of a non-unitary 2-isometry and give an example. Also we prove with alternate argument that the Weyl's theorem holds for 2-isometries.
Abstract
Let f(x) = <TEX>$x^n\;+\;a$</TEX> be a binomial polynomial in Z[x] and <TEX>$f_m(x)$</TEX> be the m-th iterate of f(x). In this work we study a necessary condition to be the Galois group of <TEX>$f_m(x)$</TEX> is isomorphic to a wreath product group <TEX>$[C_n]^m$</TEX> where <TEX>$C_n$</TEX> is a cyclic group of order n.
Abstract
In this paper, we obtain the general solution and the generalized HyersUlam stability theorem for an additive functional equation <TEX>$af(x+y)+2f({\frac{x}{2}}+y)+2f(x+{\frac{y}{2})=(a+3)[f(x)+f(y)]$</TEX>for any fixed integer a.
Abstract
The purpose of this paper is to establish a strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of continuous strongly pseudocontractive mappings. The results presented in this paper extend and improve the corresponding results of References [2, 6, 11-12].
Abstract
In this paper, we introduce Debreu integral of fuzzy mappings in Banach spaces in terms of the Debreu integral of set-valued mappings, investigate properties of Debreu integral of fuzzy mappings in Banach spaces and obtain the convergence theorem for Debreu integral of fuzzy mappings in Banach spaces.