Some Novel Integral Inequalities on the Co-ordinates for Geometrically Exponentially Convex Functions

Abstract

The main purpose of this study is to define geometrically exponentially convex functions, which are a more general version, by expanding geometrically convex functions and to create the relevant lemmas. Some properties of geometrically exponentially convex functions are proven using definitions and lemmas. While obtaining the main findings, in addition to basic analysis information, Young and Hölder inequalities, well known in the literature, were also used for the powers of some functions. In the new theorems obtained, some special results were obtained for α=0.

Keywords

• Hermite-Hadamard
• Geometrically exponentially convex functions
• Inequalities in the Coordinates

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