Generalized Beta-Convex Functions and Integral Inequalities

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Bandar Bin-Mohsin, Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar, Awais Gul Khan, Generalized Beta-Convex Functions and Integral Inequalities, Int. J. Anal. Appl., 14 (2) (2017), 180-192.

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Bandar Bin-Mohsin, Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar, Awais Gul Khan

Abstract

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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