EN
Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities
Abstract
This paper deals with some results of fractional inequalities involving two recent recent integral operators: the $\left( k,s,h\right) -$Riemann-Liouville integral and the $\left( k,h\right)-$Hadamard fractional operator. We generalize some classical integral inequalities as well as some other fractional inequalities. By simple arguments, we establish a relation between the two considered operators that allows us to establish several integral results.
Keywords
References
- [1] S. Belarbi, Z. Dahmani, On some new fractional integral inequalities, JIPAM, 10(3) (2009), 1–9.
- [2] M. Bezziou, Z. Dahmani, M.Z. Sarikaya, New operators for fractional integration theory with some applications, J. Math. Extension, In press 2018.
- [3] P.L. Chebyshev, Sur les expressions approximatives des integrales definis par les autres prises entre les memes limite. Proc. Math. Soc. Charkov, 2, (1882), 93–98.
- [4] Z. Dahmani, L. Tabharit, On weighted Gr¨uss type inequalities via fractional integrals. Journal of Advanced Research in Pure Mathematics, 2(4) (2010), 31–38.
- [5] Z. Dahmani, About some integral inequalities using Riemann-Liouville integrals. General Mathematics, 20(4) (2012), 63–69.
- [6] Z. Dahmani, L. Tabharit, S. Taf: New generalizations of Gr¨uss inequality using Riemann-Liouville fractional integrals. Belletin of Mathematical Analysis and applications, 2 (3) (2010), 93–99.
- [7] S.S. Dragomir: Some integral inequalities of Gr¨uss type,Indian J. Pure Appl. Math. 31 (2002), 397–415.
- [8] M. Houas, Z. Dahmani: Random variable inequalities involving (k; s)integration. Malaya J. Mat., 5(4) (2017), 641–646.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
April 15, 2020
Submission Date
December 17, 2019
Acceptance Date
April 17, 2020
Published in Issue
Year 2020 Volume: 8 Number: 1
APA
Bezzıou, M., Dahmani, Z., & Kiriş, M. E. (2020). Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities. Konuralp Journal of Mathematics, 8(1), 197-206. https://izlik.org/JA95GL59YZ
AMA
1.Bezzıou M, Dahmani Z, Kiriş ME. Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities. Konuralp J. Math. 2020;8(1):197-206. https://izlik.org/JA95GL59YZ
Chicago
Bezzıou, Mohamed, Zoubir Dahmani, and Mehmet Eyüp Kiriş. 2020. “Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities”. Konuralp Journal of Mathematics 8 (1): 197-206. https://izlik.org/JA95GL59YZ.
EndNote
Bezzıou M, Dahmani Z, Kiriş ME (April 1, 2020) Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities. Konuralp Journal of Mathematics 8 1 197–206.
IEEE
[1]M. Bezzıou, Z. Dahmani, and M. E. Kiriş, “Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities”, Konuralp J. Math., vol. 8, no. 1, pp. 197–206, Apr. 2020, [Online]. Available: https://izlik.org/JA95GL59YZ
ISNAD
Bezzıou, Mohamed - Dahmani, Zoubir - Kiriş, Mehmet Eyüp. “Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities”. Konuralp Journal of Mathematics 8/1 (April 1, 2020): 197-206. https://izlik.org/JA95GL59YZ.
JAMA
1.Bezzıou M, Dahmani Z, Kiriş ME. Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities. Konuralp J. Math. 2020;8:197–206.
MLA
Bezzıou, Mohamed, et al. “Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities”. Konuralp Journal of Mathematics, vol. 8, no. 1, Apr. 2020, pp. 197-06, https://izlik.org/JA95GL59YZ.
Vancouver
1.Mohamed Bezzıou, Zoubir Dahmani, Mehmet Eyüp Kiriş. Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities. Konuralp J. Math. [Internet]. 2020 Apr. 1;8(1):197-206. Available from: https://izlik.org/JA95GL59YZ
