Some conditions for uniform $H$-convexity

Some Sufficient Conditions for Starlikeness and Convexity of Order α

CERTAIN SUFFICIENT CONDITIONS FOR CLOSE-TO-CONVEXITY OF ANALYTIC FUNCTIONS

The object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk  

Convexity Conditions for 802.11 WLANs

In this paper we characterise the maximal convex subsets of the (non-convex) rate region in 802.11 WLANs. In addition to being of intrinsic interest as a fundamental property of 802.11 WLANs, this characterisation can be exploited to allow the wealth of convex optimisation approaches to be applied to 802.11 WLANs.

Convexity Conditions for Parameterized Surfaces

Based on a geometrical method, the internal relationships between locally parameterized curves and the local parameterized surfaces are analyzed. A necessary and sufficient condition is derived for the local convexity of parameterized surfaces and functional surfaces. A criterion for local convexity (concavity) of parameterized surfaces is found, also, the criterion condition of binary function...

SOME PROPERTIES OF h-MN-CONVEXITY AND JENSEN’S TYPE INEQUALITIES

In this work, we introduce the class of h-MN-convex functions by generalizing the concept of MN-convexity and combining it with h-convexity. Namely, let M : [0, 1] → [a, b] be a Mean function given by M (t) = M (t; a, b); where by M (t; a, b) we mean one of the following functions: At (a, b) := (1− t) a + tb, Gt (a, b) = a1−tbt and Ht (a, b) := ab ta+(1−t)b = 1 At( 1 a , 1 b ) ; with the proper...