Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3649
Title: On New Generalizations of Hermite-Hadamard Type Inequalities via Atangana-Baleanu Fractional Integral Operators
Authors: Set, Erhan
Akdemir, Ahmet Ocak
Karaoglan, Ali
Abdeljawad, Thabet
Shatanawi, Wasfi
Ordu Üniversitesi
0000-0001-7492-4933
0000-0002-8889-3768
0000-0003-1364-5396
Keywords: CONVEX
convex function; holder inequality; young inequality; power mean inequality; Atangana-Baleanu fractional integral operators
Issue Date: 2021
Publisher: MDPI BASEL
Citation: Set, E., Akdemir, AO., Karaoglan, A., Abdeljawad, T., Shatanawi, W. (2021). On New Generalizations of Hermite-Hadamard Type Inequalities via Atangana-Baleanu Fractional Integral Operators. Axioms, 10(3), -.Doi:10.3390/axioms10030223
Abstract: Fractional operators are one of the frequently used tools to obtain new generalizations of clasical inequalities in recent years and many new fractional operators are defined in the literature. This development in the field of fractional analysis has led to a new orientation in various branches of mathematics and in many of the applied sciences. Thanks to this orientation, it has brought a whole new dimension to the field of inequality theory as well as many other disciplines. In this study, a new lemma has been proved for the fractional integral operator defined by Atangana and Baleanu. Later with the help of this lemma and known inequalities such as Young, Jensen, Holder, new generalizations of Hermite-Hadamard inequality are obtained. Many reduced corollaries about the main findings are presented for classical integrals.
Description: WoS Categories : Mathematics, Applied Web of Science Index : Science Citation Index Expanded (SCI-EXPANDED) Research Areas : Mathematics Open Access Designations : gold
URI: http://dx.doi.org/10.3390/axioms10030223
https://www.webofscience.com/wos/woscc/full-record/WOS:000699117000001
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3649
ISBN: 2075-1680
Appears in Collections:Matematik

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