Hermite–Hadamard type inequalities for harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions

Name: Hermite–Hadamard type inequalities for harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions
Keywords: harmonic-arithmetic extended $ (s_1， m_1) $-$ (s_2， m_2) $ coordinated convex function, hermite–hadamard type integral inequality, QA1-939, integral identity, Mathematics

Chun-Ying He; Aying Wan; Bai-Ni Guo

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Article . 2023 . Peer-reviewed

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AIMS Mathematics

Article . 2023

Data sources: DOAJ

Hermite–Hadamard type inequalities for harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2023Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 8, pages 17,027-17,037 (issn: 2473-6988,

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Authors: Chun-Ying He; Aying Wan; Bai-Ni Guo;

doi: 10.3934/math.2023869

Hermite–Hadamard type inequalities for harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions

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Abstract

<abstract><p>In this paper, the authors define the notion of harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions, establish a new integral identity, present some new Hermite–Hadamard type integral inequalities for harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions, and derive some known results.</p></abstract>

Related Organizations

Henan Polytechnic University
China (People's Republic of)
Hulunbuir University
China (People's Republic of)

Keywords

harmonic-arithmetic extended $ (s_1， m_1) $-$ (s_2， m_2) $ coordinated convex function, hermite–hadamard type integral inequality, QA1-939, integral identity, Mathematics

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