Back to Search
Start Over
Jensen–Mercer inequality for GA-convex functions and some related inequalities.
- Source :
- Journal of Inequalities & Applications; 8/27/2020, Vol. 2020 Issue 1, pN.PAG-N.PAG, 1p
- Publication Year :
- 2020
-
Abstract
- In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard's inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities connected with Hermite–Hadamard–Mercer type inequalities for differentiable mappings whose derivatives in absolute value are GA-convex. [ABSTRACT FROM AUTHOR]
- Subjects :
- ABSOLUTE value
MATHEMATICAL equivalence
INTEGRAL inequalities
FRACTIONAL integrals
Subjects
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2020
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 145347829
- Full Text :
- https://doi.org/10.1186/s13660-020-02478-7