On subclasses of close-to-convex and quasi-convex functions with respect to -symmetric conjugate points.

Wang, Zhi-Gang; Chen, Hui

Displaying similar documents to “On subclasses of close-to-convex and quasi-convex functions with respect to $2 k$ -symmetric conjugate points.”

Certain subclasses of close-to-convex and quasi-convex functions with respect to $K$ -symmetric points.

Wang, Zhi-Gang (2006)

Lobachevskii Journal of Mathematics

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A new subclass of quasi-convex functions with respect to $k$ -symmetric points.

Wang, Zhi-Gang (2005)

Lobachevskii Journal of Mathematics

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On co-ordinated quasi-convex functions

M. Emin Özdemir, Ahmet Ocak Akdemir, Çetin Yıldız (2012)

Czechoslovak Mathematical Journal

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A function $f : I \to ℝ$ , where $I \subseteq ℝ$ is an interval, is said to be a convex function on $I$ if $f (t x + (1 - t) y) \leq t f (x) + (1 - t) f (y)$ holds for all $x, y \in I$ and $t \in [0, 1]$ . There are several papers in the literature which discuss properties of convexity and contain integral inequalities. Furthermore, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We define some new classes of convex functions that we name quasi-convex, Jensen-convex, Wright-convex, Jensen-quasi-convex and Wright-quasi-convex...