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2018•International Journal of Analysis and ApplicationsOpen access

Integral Inequalities via Generalized Geometrically r-Convex Functions

Muhammad Aslam Noor, Khalida Inayat Noor, Farhat Safdar

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Abstract

In this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been established. Results proved in this paper can be viewed as new significant contributions in this area of research.

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In this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been established. Results proved in this paper can be viewed as new significant contributions in this area of research.

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Available abstract

In this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been established. Results proved in this paper can be viewed as new significant contributions in this area of research.

Key concepts: Mathematics, Convex function, Regular polygon, Hadamard transform, Convex analysis, Pure mathematics, Class (philosophy), Inequality

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