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Some new hermite-hadamard like inequalities for whose first derivatives are harmonically h-convex functions

2018
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Advisor: Doç. Dr. Mehmet Eyüp Kiriş

Abstract (EN)

In this thesis, we derived a new integral identity for differentiable functions. However, some new Hermite-Hadamard type inequalities have been obtained by using the integral identity for functions whose first derivatives are harmonic h-convex in functions known as harmonic h-convex, which unifies the class of new and known harmonically convex functions. Moreover, in this thesis, the properties of first and second kind harmonically s-convex and harmonically s-Godunova-Levin functions are studied and some special cases are also dealt. Inferences made here support the results obtained for classes of harmonically convex functions in previous studies.

Author

Dr. Merve Kule

How to Cite

Merve Kule (Master Thesis). Some new hermite-hadamard like inequalities for whose first derivatives are harmonically h-convex functions, 2018, Afyon Kocatepe University.

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