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GENERALIZED BETA-CONVEX FUNCTIONS AND INTEGRAL INEQUALITIES
Journal article   Peer reviewed

GENERALIZED BETA-CONVEX FUNCTIONS AND INTEGRAL INEQUALITIES

Bandar Bin-Mohsin, Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar and Awais Gul Khan
International journal of analysis and applications, Vol.14(2), pp.180-192
01/07/2017

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we introduce the concept of generalized beta-convex functions. This new class of convex functions includes several new and previous known classes of convex functions as special cases. We derive some integral inequalities of Hermite-Hadamard type via generalized beta convex functions. Some special cases are also discussed. Results proved in this paper can be viewed as significant new contributions in this dynamic field.

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