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Vol.26 No.1

Mirmiran, Majid ; Naderi, Binesh pp.1-12 https://doi.org/10.7468/jksmeb.2019.26.1.1
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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>.

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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.

Ibrahim, Hariwan Z. pp.35-47 https://doi.org/10.7468/jksmeb.2019.26.1.35
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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.

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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.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics