GENERALIZED FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITIES FORm CONVEX AND ( ; m) CONVEX FUNCTIONS

Yıl 2018, Cilt: 67 Sayı: 1, 333 - 344, 01.02.2018

Erhan Set Barış Çelik

https://doi.org/10.1501/Commua1_0000000855

Cited By: 4

Anahtar Kelimeler

m convex function, (, m) convex function, Hermite-Hadamard inequality, fractional integral operator

Kaynakça

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• Set, E., Özdemir, M.E. and Dragomir, S.S., On Hadamard-Type inequalities involving several kinds of convexity, Journal of Inequalities and Applications, Article ID 286845, 12 pages, 2010. new Set, E., Choi, J., Çelik, B., A approach integral ResearchGate, Hadamard https://www.researchgate.net/publication/313437121. using fractional operator
• Set, E., Noor, M.A., Awan, M.U., Gözpınar, A., Some new generalized Hermite-Hadamard type inequalities for convex functions involving fractional integral operators, Journal of In- equalities and Applications, 2017:169; http://dx.doi.org/10.1186/s13660-017-1444-6 (2017).
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• Usta, F., Budak, H., Sarıkaya, M.Z. and Set, E., On generalization of trapezoid type inequal- ities for s-convex functions with generalized fractional integral operators, Filomat, accepted for publication. Yaldız, H., Sarıkaya, M.Z., On the Hermite-Hadamard type inequalities for fractional integral operator, ResearchGate, https://www.researchgate.net/publication/309824275.
• Current address : Erhan SET: Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey E-mail address : [e-mail] ORCID: orcid.org/0000-0003-1364-5396
• Current address : Barı¸s ÇEL·IK: Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey E-mail address : [e-mail] ORCID: orcid.org/0000-0001-5372-7543