Fractional Integral Inequalities for Different Functions

Volume: 3 Number: 2 January 19, 2015
  • Çetin Yildiz
  • M. Emin Özdemir
  • Havva Kavurmacı Önelan
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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

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  2. S. Belarbi and Z. Dahmani, On some new fractional integral inequalities, J. Ineq. Pure and Appl. Math., 10(3) (2009), Art. 86.
  3. 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.
  4. P. Burai and A. H´azy, On approximately h−convex functions, Journal of Convex Analysis, 18 (2) (2011).
  5. Z. Dahmani, New inequalities in fractional integrals, International Journal of Nonlinear Science, 9(4) (2010), 493-497.
  6. Z. Dahmani, On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1(1) (2010), 51
  7. Z. Dahmani and L. Tabharit, S. Taf, Some fractional integral inequalities, Nonl. Sci. Lett. A., 1(2) (2010), 155-160.
  8. 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

-

Authors

Çetin Yildiz This is me

M. Emin Özdemir This is me

Havva Kavurmacı Önelan This is me

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