EN
Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral
Abstract
In this paper, we gave the new general identity for differentiable functions. As a result of this identity some new and general inequalities for differentiable harmonically-convex functions are obtained.
Keywords
References
- F. Chen and S. Wu, Hermite-Hadamard type inequalities for harmonically s-convex functions, Sci. World (2014), 7, Article ID 279158.
- Z. Dahmani, On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1(1) (2010), pp. 51-58.
- S. S. Dragomir, Hermite Hadamard’ s type inequalities for convex functions of selfadjoint operators in Hilbert spaces, Linear Algebra Appl. 436 (2012), no.5, 1503-1515.
- D-Y. Hwang, Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables, Applied Mathematics and Computation, 217 (2011), 9598-9605.
- I. Iscan, M. Kunt, Fej´er and Hermite-Hadamard-Fej´er type inequalities for harmonically s-convex functions via Fractional Integrals, The Australian Journal of Mathematical Analysis and Applications, (2015), Vol: 12, 1 ,Article 10, pp 1-6.
- I. Iscan, Hermite-Hadamard type inequalities for harmonically convex functions, Hacettepe Journal of Mathematics and Statistics 43 (6) (2014), 935-942.
- I. Iscan, Ostrowski type inequalities for harmonically s-convex functions, Konuralp Jurnal of Mathematics, Volume 3, No 1 (2015), pp. 63-74.
- I. Iscan, Some new general integral inequalities for h-convex and h-concave functions, Adv. Pure Appl. Math. 5(1) (2014), pp. 21-29 . doi: 10.1515/apam-2013-0029.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
March 1, 2016
Submission Date
November 13, 2015
Acceptance Date
December 29, 2015
Published in Issue
Year 1970 Volume: 4 Number: 2
APA
Iscan, İ., Turhan, S., & Maden, S. (2016). Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences, 4(2), 1-10. https://izlik.org/JA24CP85NZ
AMA
1.Iscan İ, Turhan S, Maden S. Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences. 2016;4(2):1-10. https://izlik.org/JA24CP85NZ
Chicago
Iscan, İmdat, Sercan Turhan, and Selahattin Maden. 2016. “Some Hermite-Hadamard-Fejer Type Inequalities for Harmonically Convex Functions via Fractional Integral”. New Trends in Mathematical Sciences 4 (2): 1-10. https://izlik.org/JA24CP85NZ.
EndNote
Iscan İ, Turhan S, Maden S (March 1, 2016) Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences 4 2 1–10.
IEEE
[1]İ. Iscan, S. Turhan, and S. Maden, “Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral”, New Trends in Mathematical Sciences, vol. 4, no. 2, pp. 1–10, Mar. 2016, [Online]. Available: https://izlik.org/JA24CP85NZ
ISNAD
Iscan, İmdat - Turhan, Sercan - Maden, Selahattin. “Some Hermite-Hadamard-Fejer Type Inequalities for Harmonically Convex Functions via Fractional Integral”. New Trends in Mathematical Sciences 4/2 (March 1, 2016): 1-10. https://izlik.org/JA24CP85NZ.
JAMA
1.Iscan İ, Turhan S, Maden S. Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences. 2016;4:1–10.
MLA
Iscan, İmdat, et al. “Some Hermite-Hadamard-Fejer Type Inequalities for Harmonically Convex Functions via Fractional Integral”. New Trends in Mathematical Sciences, vol. 4, no. 2, Mar. 2016, pp. 1-10, https://izlik.org/JA24CP85NZ.
Vancouver
1.İmdat Iscan, Sercan Turhan, Selahattin Maden. Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences [Internet]. 2016 Mar. 1;4(2):1-10. Available from: https://izlik.org/JA24CP85NZ