On Hermite-Hadamard type inequalities for S-Phi_preinvex functions by using Riemann-Liouville fractional integrals

In this study, we have obtained some Hermite-Hadamard type integral inequalities for S_phi_preinvex functions. These inequalities are a generalization of some of the results in the literature.

Bibliographic Details
Main Authors: Seda Kılınç, Abdullah Akkurt, Hüseyin Yıldırım
Format: Article
Language:English
Published: Balikesir University 2019-07-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
Online Access:http://www.ijocta.org/index.php/files/article/view/549
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spelling doaj-abbe795b33a8416faf00a96b87e679eb2021-03-09T02:14:20ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032019-07-019210.11121/ijocta.01.2019.00549On Hermite-Hadamard type inequalities for S-Phi_preinvex functions by using Riemann-Liouville fractional integralsSeda Kılınç0Abdullah Akkurt1Hüseyin Yıldırım2Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü imamDepartment of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü imam, 46000, Kahramanmaraş, TurkeyDepartment of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü imam, 46000, Kahramanmaraş, TurkeyIn this study, we have obtained some Hermite-Hadamard type integral inequalities for S_phi_preinvex functions. These inequalities are a generalization of some of the results in the literature.http://www.ijocta.org/index.php/files/article/view/549Fractional IntegralRiemann-Liouville Fractional IntegralIntegral Inequalities.
collection DOAJ
language English
format Article
sources DOAJ
author Seda Kılınç
Abdullah Akkurt
Hüseyin Yıldırım
spellingShingle Seda Kılınç
Abdullah Akkurt
Hüseyin Yıldırım
On Hermite-Hadamard type inequalities for S-Phi_preinvex functions by using Riemann-Liouville fractional integrals
An International Journal of Optimization and Control: Theories & Applications
Fractional Integral
Riemann-Liouville Fractional Integral
Integral Inequalities.
author_facet Seda Kılınç
Abdullah Akkurt
Hüseyin Yıldırım
author_sort Seda Kılınç
title On Hermite-Hadamard type inequalities for S-Phi_preinvex functions by using Riemann-Liouville fractional integrals
title_short On Hermite-Hadamard type inequalities for S-Phi_preinvex functions by using Riemann-Liouville fractional integrals
title_full On Hermite-Hadamard type inequalities for S-Phi_preinvex functions by using Riemann-Liouville fractional integrals
title_fullStr On Hermite-Hadamard type inequalities for S-Phi_preinvex functions by using Riemann-Liouville fractional integrals
title_full_unstemmed On Hermite-Hadamard type inequalities for S-Phi_preinvex functions by using Riemann-Liouville fractional integrals
title_sort on hermite-hadamard type inequalities for s-phi_preinvex functions by using riemann-liouville fractional integrals
publisher Balikesir University
series An International Journal of Optimization and Control: Theories & Applications
issn 2146-0957
2146-5703
publishDate 2019-07-01
description In this study, we have obtained some Hermite-Hadamard type integral inequalities for S_phi_preinvex functions. These inequalities are a generalization of some of the results in the literature.
topic Fractional Integral
Riemann-Liouville Fractional Integral
Integral Inequalities.
url http://www.ijocta.org/index.php/files/article/view/549
work_keys_str_mv AT sedakılınc onhermitehadamardtypeinequalitiesforsphipreinvexfunctionsbyusingriemannliouvillefractionalintegrals
AT abdullahakkurt onhermitehadamardtypeinequalitiesforsphipreinvexfunctionsbyusingriemannliouvillefractionalintegrals
AT huseyinyıldırım onhermitehadamardtypeinequalitiesforsphipreinvexfunctionsbyusingriemannliouvillefractionalintegrals
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