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Niculescu CP: Convexity according to the geometric mean. Math. Inequal. Appl. 2000, 3(2):155-167. 10.7153/mia-03-19.

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Article

Obtaining of Some New Inequalities Using Functıonals for GA-Convex Functions

1Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, TÜRKİYE

2Institute of Sciences and Arts, Giresun University, Giresun, TÜRKİYE


Turkish Journal of Analysis and Number Theory. 2018, Vol. 6 No. 1, 9-15
DOI: 10.12691/tjant-6-1-2
Copyright © 2018 Science and Education Publishing

Cite this paper:
İmdat İşcan, Mahir Kadakal, Yasemin Külekçi. Obtaining of Some New Inequalities Using Functıonals for GA-Convex Functions. Turkish Journal of Analysis and Number Theory. 2018; 6(1):9-15. doi: 10.12691/tjant-6-1-2.

Correspondence to: Mahir  Kadakal, Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, TÜRKİYE. Email: mahirkadakal@gmail.com

Abstract

In this paper, we get the fractional integral inequalities obtained for geometric arithmetically (GA) convex functions by using functionals. The left hand side of the Hermite-Hadamard and Hermite-Hadamard-Fejér inequalities obtained by using Hadamard fractional integrals for Geometric Arithmetically-convex functions was obtained via functionals. We conclude that some results obtained in this paper are the refinements of the earlier results.

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