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

İmdat İşcan¹, Mahir Kadakal^1, and Yasemin Külekçi²

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

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

Cite this paper:
İmdat İşcan, Mahir Kadakal and 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

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.

Keywords:
convex function integral inequalities GA-Convex function functionals Riemann-Liouville fractional integrals Hadamard fractional integrals

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