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- Title
SOME ESTIMATES ON THE HERMITE-HADAMARD INEQUALITY THROUGH GEOMETRICALLY QUASI-CONVEX FUNCTIONS.
- Authors
LATIF, M. A.; DRAGOMIR, SEVER S.; MOMONIAT, E.
- Abstract
In present paper, by proving a new integral identity, using Hölder's inequality and mathematical analysis, we prove some Hermite-Hadamard type integral inequalities for geometrically quasi-convex functions which give better estimates to those already proven for the rightside of a Hermite-Hadamard type inequality established for geometrically convex functions in earlier works. A numerical example is also provided to support our claim. Applications of the results to special means of positive real numbers are given.
- Subjects
HERMITE polynomials; DIFFERENTIAL equations; BESSEL functions; CONTINUOUS groups; FINITE differences
- Publication
Miskolc Mathematical Notes, 2017, Vol 18, Issue 2, p933
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2017.1819