Some new fractional Fejér type inequalities for convex functions

• Autorzy: Set E. , Mumcu Î.

Identyfikatory

DOI

10.1515/fascmath-2017-0023

• Języki publikacji: EN

Abstrakty

EN

In this paper, firstly, a new identity for conformable fractional integrals is established. Then by making use of the established identity, some new fractional Fejér type inequalities are established. The results presented here have some relationships with the results of Set et al. (2015), proved in [6].

Słowa kluczowe

EN

convex function; conformable fractional integral; Fejer inequality; Riemann-Liouville integral

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2017
• Tom: Nr 59
• Strony: 145--157
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Set E.

• Department of Mathematics, Faculty of Arts and Sciences, Ordu University 52200 Ordu, Turkey

autor

Mumcu Î.

• Department of Mathematics, Faculty of Arts and Sciences, Ordu University 52200 Ordu, Turkey

Bibliografia

• [1] Rainville E.D., Special Functions, The Mcmillan Company, New York.
• [2] Fejèr L., Uberdie Fourierreihen, II, Math. Naturwise. Anz Ungar. Akad., Wiss, 24(1906), 369-390, (in Hungarian).
• [3] Abdeljawad T., On conformable fractional calculus, Journal of Computational and Applied Mathematics, 279(2015), 57-66.
• [4] Iscan I., Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals, Stud. Univ. Babes-Bolyai Math., 60(3)(2015), 355-366.
• [5] Khalil R., Al Horani M., Yousef A., Sababheh M., A new definition of fractional derivative, J. of Comput. and Appl. Math., 264(2014), 65-70.
• [6] Set E., Îscan I., Sarikaya M.Z., Özdemir M.E., On new inequalities of Hermite-Hadamard-Fejér type for convex functions via fractional integrals, Applied Mathematics and Computation, 259(2015), 875-881.
• [7] Set E., Sarikaya M.Z., Gözpınar A., Some Hermite-Hadamard type inequalities for convex functions via conformable fractional integrals and related inequalities, Creat. Math. Inform., 26(2)(2017), 223-231.
• [8] Set E., Gözpinar A., Ekinci A., Hermite-Hadamard Type Inequalities Via Conformable Fractional Integrals, Acta Math. Univ. Comenianae, 86(2)(2017), 309-320.
• [9] Set E., Akdemir A.O., Mumcu I., The Hermite-Hadamard’s inequality and its extentions for conformable fractional integrals of any order α > 0, (submitted).