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Exponential Convex Functions with Respect to $s$

Year: 2024
Type: article
Abstract: In this paper, we study the concept of exponential convex functions with respect to $s$ and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (H-H) inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is exponential convex with respect to $s$. Our results coincide with the results obtained previously in special cases.
Institution: Bayburt University
Language: English
Open Access status: green
OpenAlex ID: W6945127144
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