EN
ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
Abstract
In this paper, some new results related to the left-hand side of the Hermite-Hadamard type inequality for harmonically convex functions using Riemann Liouville fractional integrals are obtained.
Keywords
References
- [1] R.Goren o, F.Mainardi, "Fractionalcalculus;integral and di erentiable equations of fractional order", Springer Verlag, Wien,1997,p.223-276
- [2] S.G.Samko, A.A.Kilbas, O.I.Marichev, "Fractional Integrals and Derivates Theory and Ap-plication ,Gordon and Breach Science", New York,1993
- [3] İ. İşcan and S. Wu, "Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals",Appl. Math. Compt., 238 (2014), 237-244.
- [4] İ. İşcan, "Hermite-Hadamard type inequalities for harmonically convex functions", Hacet. J. Math. Stat., 43 (6) (2014), 935-942.
- [5] İ. İşcan, Generalization of different type integral inequalitiesfor s-convex functions via fractional integrals, Applicable Analysis: An Int. J., 93 (9) (2014), 1846{1862.
- [6] İ. İşcan, "New general integral inequalities for quasi-geometrically convex functions via fractional integrals", J. Inequal. Appl., 2013(491), 15 pages, 2013.
- [7] A. A. Kilbas, H.M. Srivastava HM and J.J. Trujillo, Theory and applications of fractional differential equations, Amsterdam, Elsevier, 2006.
- [8] A. P. Prudnikov, Y.A. Brychkov and O.I. Marichev, Integral and series. In: Elementary Functions, vol. 1. Nauka, Moscow, 1981.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
April 1, 2015
Submission Date
July 10, 2014
Acceptance Date
-
Published in Issue
Year 2015 Volume: 3 Number: 1
APA
Set, E., İşcan, İ., & Zehır, F. (2015). ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics, 3(1), 42-55. https://izlik.org/JA49JS73BY
AMA
1.Set E, İşcan İ, Zehır F. ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. 2015;3(1):42-55. https://izlik.org/JA49JS73BY
Chicago
Set, Erhan, İmdat İşcan, and Fatma Zehır. 2015. “ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 3 (1): 42-55. https://izlik.org/JA49JS73BY.
EndNote
Set E, İşcan İ, Zehır F (April 1, 2015) ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics 3 1 42–55.
IEEE
[1]E. Set, İ. İşcan, and F. Zehır, “ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”, Konuralp J. Math., vol. 3, no. 1, pp. 42–55, Apr. 2015, [Online]. Available: https://izlik.org/JA49JS73BY
ISNAD
Set, Erhan - İşcan, İmdat - Zehır, Fatma. “ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 3/1 (April 1, 2015): 42-55. https://izlik.org/JA49JS73BY.
JAMA
1.Set E, İşcan İ, Zehır F. ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. 2015;3:42–55.
MLA
Set, Erhan, et al. “ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics, vol. 3, no. 1, Apr. 2015, pp. 42-55, https://izlik.org/JA49JS73BY.
Vancouver
1.Erhan Set, İmdat İşcan, Fatma Zehır. ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE INVOLVING HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. [Internet]. 2015 Apr. 1;3(1):42-55. Available from: https://izlik.org/JA49JS73BY
