EN
Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals
Abstract
The purpose of this work is to establish extended Ostrowski type inequalities involving conformable fractional integrals. We first give an identity for functions whose α-fractional derivatives are bounded. After that, two extended Ostrowski type inequalities which involve conformable fractional integrals for functions whose α-fractional derivatives are bounded are developed. Additionally, the applications of numerical integration that emerged when investigating these inequalities are given.
Keywords
References
- [1] T. Abdeljawad, On conformable fractional calculus, Journal of Computational and Applied Mathematics, 279 (2015) 57–66.
- [2] T. Abdeljawad, M. A. Horani, R. Khalil, Conformable fractional semigroup operators, Journal of Semigroup Theory and Applications, vol. 2015 (2015) Article ID. 7.
- [3] M. Abu Hammad, R. Khalil, Conformable fractional heat differential equations, International Journal of Differential Equations and Applications, 13( 3), 2014, 177-183.
- [4] M. Abu Hammad, R. Khalil, Abel’s formula and wronskian for conformable fractional differential equations, International Journal of Differential Equations and Applications, 13( 3), 2014, 177-183.
- [5] D. R. Anderson, Taylor’s formula and integral inequalities for conformable fractional derivatives, Contributions in Mathematics and Engineering, in Honor of Constantin Caratheodory, Springer, to appear.
- [6] P. Cerone, S. S. Dragomir and J. Roumeliotis. An inequality of Ostrowski type for mappings whose second derivatives are bounded and applications. RGMIA Research Report Collection, Vol.1 No.1:Art.4 1998.
- [7] S. S. Dragomir. A functional generalization of Ostrowski inequality via Montgomery identity. Acta Math. Univ. Comenian (N.S.), 84(1):63–78, 2015.
- [8] S. S. Dragomir and N. S. Barnett. An ostrowski type inequality for mappings whose second derivatives are bounded and applications. RGMIA Research Report Collection, V.U.T., 1 (2): 67-76, 1999.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 15, 2022
Submission Date
January 29, 2022
Acceptance Date
February 2, 2022
Published in Issue
Year 2022 Volume: 10 Number: 1
APA
Erden, S., & Bolu, P. (2022). Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals. Konuralp Journal of Mathematics, 10(1), 182-187. https://izlik.org/JA35ST92KA
AMA
1.Erden S, Bolu P. Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals. Konuralp J. Math. 2022;10(1):182-187. https://izlik.org/JA35ST92KA
Chicago
Erden, Samet, and Pınar Bolu. 2022. “Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals”. Konuralp Journal of Mathematics 10 (1): 182-87. https://izlik.org/JA35ST92KA.
EndNote
Erden S, Bolu P (April 1, 2022) Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals. Konuralp Journal of Mathematics 10 1 182–187.
IEEE
[1]S. Erden and P. Bolu, “Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals”, Konuralp J. Math., vol. 10, no. 1, pp. 182–187, Apr. 2022, [Online]. Available: https://izlik.org/JA35ST92KA
ISNAD
Erden, Samet - Bolu, Pınar. “Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 182-187. https://izlik.org/JA35ST92KA.
JAMA
1.Erden S, Bolu P. Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals. Konuralp J. Math. 2022;10:182–187.
MLA
Erden, Samet, and Pınar Bolu. “Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 182-7, https://izlik.org/JA35ST92KA.
Vancouver
1.Samet Erden, Pınar Bolu. Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):182-7. Available from: https://izlik.org/JA35ST92KA
