Some Refinements of the Hermite–Hadamard Inequality with the Help of Weighted Integrals

By using the definition of modified ( h, m, s )-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature...

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Bibliographic Details
Published inUkrainian mathematical journal Vol. 75; no. 6; pp. 842 - 860
Main Authors Bayraktar, B., Nápoles, J. E., Rabossi, F.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2023
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Geometry
Integrals
Mathematics
Mathematics and Statistics
Statistics
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Summary:By using the definition of modified ( h, m, s )-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-023-02232-4