EN
ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
Abstract
In this paper, some Hermite-Hadamard-Fejer type integral in- equalities for GA-s convex functions in fractional integral forms are obtained.
Keywords
References
- [1] L. Fejer, Uberdie Fourierreihen, II, Math. Naturwise. Anz Ungar. Akad., Wiss, 24 (1906), 369-390, (in Hungarian).
- [2] J. Hadamard, Etude sur les proprietes des fonctions entieres et en particulier d'une fonction consideree par Riemann, J. Math. Pures Appl., 58 (1893), 171-215.
- [3] _I. _ Iscan, Hermite-Hadamard-Fejer type inequalities for convex functions via fractional inte- grals, arXiv preprint arXiv:1404.7722 (2014).
- [4] _I. _ Iscan, Generalization of dierent type integral inequalities for s-convex functions via frac- tional integrals, Applicable Analysis, 2013. doi: 10.1080/00036811.2013.851785.
- [5] _I. _ Iscan, New general integral inequalities for quasi-geometrically convex functions via frac- tional integrals, J. Inequal. Appl., 2013(491) (2013), 15 pages.
- [6] _I. _ Iscan, On generalization of dierent type integral inequalities for s-convex functions via fractional integrals, Mathematical Sciences and Applications E-Notes, 2(1) (2014), 55-67.
- [7] A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional dierential equations, Elsevier, Amsterdam 2006.
- [8] M. Kunt, _I. _ Iscan, On new inequalities of Hermite-Hadamard-Fejer type for GA-convex func- tions via fractional integrals, RGMIA Research Report Collection, 18(2015), Article 108, 12 pp.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
April 1, 2016
Submission Date
July 10, 2014
Acceptance Date
-
Published in Issue
Year 2016 Volume: 4 Number: 1
APA
Kunt, M., & İşcan, İ. (2016). ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics, 4(1), 130-139. https://izlik.org/JA65WS55GU
AMA
1.Kunt M, İşcan İ. ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. 2016;4(1):130-139. https://izlik.org/JA65WS55GU
Chicago
Kunt, Mehmet, and İmdat İşcan. 2016. “ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-S CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 4 (1): 130-39. https://izlik.org/JA65WS55GU.
EndNote
Kunt M, İşcan İ (April 1, 2016) ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics 4 1 130–139.
IEEE
[1]M. Kunt and İ. İşcan, “ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”, Konuralp J. Math., vol. 4, no. 1, pp. 130–139, Apr. 2016, [Online]. Available: https://izlik.org/JA65WS55GU
ISNAD
Kunt, Mehmet - İşcan, İmdat. “ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-S CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 130-139. https://izlik.org/JA65WS55GU.
JAMA
1.Kunt M, İşcan İ. ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. 2016;4:130–139.
MLA
Kunt, Mehmet, and İmdat İşcan. “ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-S CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 130-9, https://izlik.org/JA65WS55GU.
Vancouver
1.Mehmet Kunt, İmdat İşcan. ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):130-9. Available from: https://izlik.org/JA65WS55GU
