Hermite-Hadamard’s Inequalities for Integrals Obtained with Co-Ordinated Earthquake Convex Functions
Abstract
In this paper, we introduce the notion of co-ordinated earthquake convex functions defined on rectangular domains and investigate their basic properties. By means of this new class of convexity, we establish several Hermite-Hadamard type inequalities for functions defined on the co-ordinates. The obtained results extend and refine a number of known inequalities in the existing literature. Moreover, some special cases are discussed to illustrate the effectiveness of the proposed approach and to recover several classical results as particular cases.
Keywords
Co-Ordinated Functions, Earthquake Convexity, Hermite-Hadamard Inequality
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