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- Title
Jensen–Mercer inequality for GA-convex functions and some related inequalities.
- Authors
İşcan, İmdat
- 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.
- Subjects
MERCER LLC; ABSOLUTE value; MATHEMATICAL equivalence; INTEGRAL inequalities; FRACTIONAL integrals
- Publication
Journal of Inequalities & Applications, 2020, Vol 2020, Issue 1, pN.PAG
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-020-02478-7