In this paper we present some inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. Moreover, an application to special means of real numbers is also considered.

In this paper, we give a unified approach to establish midpoint, trapezoid, and Simpson’s inequalities for functions whose derivatives in absolute value at certain power are quasi-convex. Some applications to special means of real numbers are also given.

Abstract: The aim of this paper is to introduce and study a new class [ ] * C A,B, δ α of Janowski QuasiConvex univalent functions of order alpha associated with Ruscheweyh derivative. Sharp coefficient bound, distortion result and some inclusion results are discussed. Invariance of [ ] * C A,B, δ α under convolution with convex functions has also been examined and some of its applications are ...

Commons Attribution-Noncommercial 3.0 Unported License http://creativecommons.org/licenses/by-nc/3.0/), permitting all non commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. Global Journal of Science Frontier Research: F Mathematics and Decision Sciences Volume 15 Issue 10 Version 1.0 Year 2015 Type : Double Blind Peer Reviewed Internatio...

Greedily seriating objects one by one is implicitly employed in many heuristic clustering procedures, which can be described in terms of a linkage function measuring entity-to-set dissimilarities. A well-known clustering technique, single linkage clustering, can be considered as an example of the seriation procedures (actually, based on the minimum spanning tree construction) leading to the glo...