<?xml version="1.0" encoding="UTF-8"?>
<records>
<record>
<language>eng</language>
<publisher>Science and Education Publishing</publisher>
<journalTitle>Turkish Journal of Analysis and Number Theory</journalTitle>
<eissn>2333-1232</eissn>
<publicationDate>2018-01-27</publicationDate>
<volume>6</volume>
<issue>1</issue>
<startPage>9</startPage>
<endPage>15</endPage>
<doi>10.12691/tjant-6-1-2</doi>
<publisherRecordId>TJANT2018612</publisherRecordId>
<documentType>article</documentType>
<title language="eng">Obtaining of Some New Inequalities Using Funct?onals for GA-Convex Functions</title>
<authors>
<author>
<name>İmdat İşcan</name>
<affiliationId>1</affiliationId>
</author>
<author>
<name>Mahir Kadakal</name>
<email>mahirkadakal@gmail.com</email>
<affiliationId>1</affiliationId>
</author>
<author>
<name>Yasemin Külekçi</name>
<affiliationId>2</affiliationId>
</author>

</authors>
<affiliationsList>
<affiliationName affiliationId="1">Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, TÜRKİYE</affiliationName>

<affiliationName affiliationId="2">Institute of Sciences and Arts, Giresun University, Giresun,TÜRKİYE</affiliationName>
</affiliationsList>
<abstract language="eng">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-Fej&#233;r 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.</abstract>
<fullTextUrl format="pdf">http://pubs.sciepub.com/tjant/6/1/2/tjant-6-1-2.pdf</fullTextUrl>
<keywords language="eng"><keyword>convex function</keyword>
<keyword>integral inequalities</keyword>
<keyword>GA-Convex function</keyword>
<keyword>functionals</keyword>
<keyword>Riemann-Liouville fractional integrals</keyword>
<keyword>Hadamard fractional integrals</keyword>
</keywords>
</record>
</records>
