EN
TR
Fractional Integral Inequalities for Different Functions
Abstract
In this paper, we establish several inequalities for different convex mappings that are connected with the Riemann-Liouvillefractional integrals. Our results have some relationships with certain integral inequalities in the literature
Keywords
References
- E.K. Godunova and V.I. Levin, Neravenstra dlja funccii sirokogo klassa soderzascego vypuklye, monotonnye i nekotorye drugie vidy funkaii, Vycislitel Mat. i Mt. Fiz., Mezvuzov Sb. Nauc. Trudov. MPGI, Moscow, 1985, 138-142.
- S. Belarbi and Z. Dahmani, On some new fractional integral inequalities, J. Ineq. Pure and Appl. Math., 10(3) (2009), Art. 86.
- M. Bombardelli and S. Varoˇsanec, Properties of h−convex functions related to the Hermite-Hadamard-Fej´er inequalities, Computers and Mathematics with Applications, 58 (2009), 1869-1877.
- P. Burai and A. H´azy, On approximately h−convex functions, Journal of Convex Analysis, 18 (2) (2011).
- Z. Dahmani, New inequalities in fractional integrals, International Journal of Nonlinear Science, 9(4) (2010), 493-497.
- Z. Dahmani, On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1(1) (2010), 51
- Z. Dahmani and L. Tabharit, S. Taf, Some fractional integral inequalities, Nonl. Sci. Lett. A., 1(2) (2010), 155-160.
- Z. Dahmani, L. Tabharit and S. Taf, New generalizations of Gr¨uss inequality using Riemann-Liouville fractional integrals, Bull. Math. Anal. Appl., 2(3) (2010), 93-99.
Details
Primary Language
Turkish
Subjects
-
Journal Section
-
Publication Date
January 19, 2015
Submission Date
March 13, 2015
Acceptance Date
-
Published in Issue
Year 2015 Volume: 3 Number: 2
APA
Yildiz, Ç., Özdemir, M. E., & Önelan, H. K. (2015). Fractional integral inequalities for different functions. New Trends in Mathematical Sciences, 3(2), 110-117. https://izlik.org/JA39US62HR
AMA
1.Yildiz Ç, Özdemir ME, Önelan H K. Fractional integral inequalities for different functions. New Trends in Mathematical Sciences. 2015;3(2):110-117. https://izlik.org/JA39US62HR
Chicago
Yildiz, Çetin, M. Emin Özdemir, and Havva Kavurmacı Önelan. 2015. “Fractional Integral Inequalities for Different Functions”. New Trends in Mathematical Sciences 3 (2): 110-17. https://izlik.org/JA39US62HR.
EndNote
Yildiz Ç, Özdemir ME, Önelan H K (January 1, 2015) Fractional integral inequalities for different functions. New Trends in Mathematical Sciences 3 2 110–117.
IEEE
[1]Ç. Yildiz, M. E. Özdemir, and H. K. Önelan, “Fractional integral inequalities for different functions”, New Trends in Mathematical Sciences, vol. 3, no. 2, pp. 110–117, Jan. 2015, [Online]. Available: https://izlik.org/JA39US62HR
ISNAD
Yildiz, Çetin - Özdemir, M. Emin - Önelan, Havva Kavurmacı. “Fractional Integral Inequalities for Different Functions”. New Trends in Mathematical Sciences 3/2 (January 1, 2015): 110-117. https://izlik.org/JA39US62HR.
JAMA
1.Yildiz Ç, Özdemir ME, Önelan H K. Fractional integral inequalities for different functions. New Trends in Mathematical Sciences. 2015;3:110–117.
MLA
Yildiz, Çetin, et al. “Fractional Integral Inequalities for Different Functions”. New Trends in Mathematical Sciences, vol. 3, no. 2, Jan. 2015, pp. 110-7, https://izlik.org/JA39US62HR.
Vancouver
1.Çetin Yildiz, M. Emin Özdemir, Havva Kavurmacı Önelan. Fractional integral inequalities for different functions. New Trends in Mathematical Sciences [Internet]. 2015 Jan. 1;3(2):110-7. Available from: https://izlik.org/JA39US62HR