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ISSN : 1226-0657
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Vol.26 No.1
Abstract
Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that <TEX>$F_{\sigma}-kernel$</TEX> of sets are <TEX>$F_{\sigma}-sets$</TEX>.
Abstract
The main aim of this paper is to establish some comparative growth properties of composite entire functions on the basis of their relative (p, q)-th order, relative (p, q)-th lower order, relative (p, q)-th type, relative (p, q)-th weak type of entire function with respect to another entire function where p and q are any two positive integers.
Abstract
The purpose of this paper is to introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of <TEX>${\beta}$</TEX>-g-open and <TEX>${\beta}$</TEX>-g-closed sets and some of their characterizations are obtained. Finally, the relationships between these concepts and the other related concepts are investigated.
Abstract
In this paper, I prove the stability problem for a quadratic-cubic functional equation <TEX>$$f(x+ky)-k^2f(x+y)-k^2f(x-y)+f(x-ky)+f(kx)-{\frac{k^3-3k^2+4}{2}}f(x)+{\frac{k^3-k^2}{2}}f(-x)=0$$</TEX> in modular spaces by applying the direct method.