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Integral Form of Popoviciu Inequality for Convex Function

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Title: Integral Form of Popoviciu Inequality for Convex Function

Authors: Khuram Ali Khan, Tasadduq Niaz, Josip Pečarić

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: 2016

Volume: 53

Issue: 3

Language: English

Keywords: convex functionPopoviciu inequalityJensen’s inequalityquasi arithmetic means

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

Abstract

In this paper, the new integral form of Popoviciu inequality for convex functions is constructed and also the new refinement of integral form of Jensen’s inequality is given. For the purpose of application some new quasi arithmetic means are defined along with their monotonicity property. Keywords: Convex function, Popoviciu inequality, Jensen’s inequality, quasi arithmetic means

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