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Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals.
- Source :
- Journal of Inequalities & Applications; 6/7/2021, Vol. 2021 Issue 1, p1-22, 22p
- Publication Year :
- 2021
-
Abstract
- In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, the authors prove extensions of the Hermite–Hadamard inequality for harmonically convex functions via generalized fractional integrals without using the harmonic convexity property for the functions. The results offered here are the refinements of the existing results for harmonically convex functions. [ABSTRACT FROM AUTHOR]
- Subjects :
- FRACTIONAL integrals
GENERALIZED integrals
CONVEX functions
INTEGRAL inequalities
Subjects
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2021
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 150748359
- Full Text :
- https://doi.org/10.1186/s13660-021-02638-3