Exponential type convexity and some related inequalities

By M. Kadakal, Imdat Iscan. 2020

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In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the H-H inequality for functions whose first derivative in absolute value at certain power is exponential type convex.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/9e6596f44e8f3180fa4b4532e3ab48c9dd36b8d9