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http://dx.doi.org/10.5831/HMJ.2015.37.4.513

(k1, …, kn)-CONVEXITY IN ℝn  

PARK, SUNG-HEE (Department of Mathematics Education, Jeonju University)
Publication Information
Honam Mathematical Journal / v.37, no.4, 2015 , pp. 513-527 More about this Journal
Abstract
In this paper, we first introduce and study new concepts of ($k_1,{\cdots},k_n$)-convexity and k-segment. Secondly, we shall discuss some properties of nonisotropically starlike domains in $\mathbb{R}^n$ with respect to the origin.
Keywords
($k_1,{\cdots},k_n$)-convex set; ($k_1,{\cdots},k_n$)-convex function; quasi-($k_1,{\cdots},k_n$)-convex function; k-segment; ($k_1,{\cdots},k_n$)-nonisotropically starlike with respect to the origin;
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  • Reference
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