Generalized Beta-Convex Functions and Integral Inequalities

摘要

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.