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????-Exponential Convexity of Refinements of Hermite-Hadamards Inequality

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Title: ????-Exponential Convexity of Refinements of Hermite-Hadamards Inequality

Authors: Rishi Naeem

Journal: Proceedings of the Pakistan Academy of Sciences: A

HEC Recognition History
Category From To
Y 2024-10-01 2025-12-31
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: "Physical And Computational Sciences. Pakistan Academy of Sciences."

Country: Pakistan

Year: 2017

Volume: 54

Issue: 2

Language: English

Keywords: convex functionHermite Hadamard inequalitylog-convexitym-exponential convexity2010 Mathematics Subject ClassificationPrimary 26A24; 26A48; 26A51; 26D15

Categories
Mathematical Analysis (43) Functional Analysis (104) Mathematics (5170) Inequalities (60) Convex Analysis (7)

Abstract

This paper narrates ????-exponential convexity and log-convexity. For this investigation positive functionals are applied which associate with the refinement of Hermite Hadamard inequality (cited from [1]). With the results that are obtained, some families of functions related to them are presented. To construct means with Stolarsky property, Lagrange and Cauchy type mean value theorems are also given.

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