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Some new inequalities related to (α, m)-convex functions

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Title: Some new inequalities related to (α, m)-convex functions

Authors: Farhat Safdar, Muhammad Aslam Noor, Khalida Inayat Noor

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
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: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2019

Volume: 15

Issue: 1

Language: English

Keywords: inequalities(αm)-convex functionsHermiteHadamard inequality

Categories
Convex Functions (12) Analysis (236) Calculus (39) Mathematics (5170) Inequalities (60)

Abstract

In this paper, we establish some results for functions whose derivatives in absolute values at certain power is generalized (α, m)-convex function. We derive some new estimates to the right-hand side of HermiteHadamard inequality for functions whose absolute values of second derivatives raised to real powers are m-convex functions. Special cases are discussed as applications of our results. The technique of this paper may stimulate further research in this field.

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