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Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions.
- Source :
- Journal of Inequalities & Applications; 9/22/2023, Vol. 2023 Issue 1, p1-18, 18p
- Publication Year :
- 2023
-
Abstract
- In this work, the notion of a multiplicative harmonic convex function is examined, and Hermite–Hadamard inequalities for this class of functions are established. Many inequalities of Hermite–Hadamard type are also taken into account for the product and quotient of multiplicative harmonic convex functions. In addition, new multiplicative integral-based inequalities are found for the quotient and product of multiplicative harmonic convex and harmonic convex functions. In addition, we provide certain upper limits for such classes of functions. The obtained results have been verified by providing examples with included graphs. The findings of this study may encourage more research in several scientific areas. [ABSTRACT FROM AUTHOR]
- Subjects :
- HARMONIC functions
INTEGRAL inequalities
UPPER class
CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2023
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 172313414
- Full Text :
- https://doi.org/10.1186/s13660-023-03032-x