Research Article

Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals

Volume: 10 Number: 1 April 15, 2022
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

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  5. [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. [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. [7] S. S. Dragomir. A functional generalization of Ostrowski inequality via Montgomery identity. Acta Math. Univ. Comenian (N.S.), 84(1):63–78, 2015.
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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
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