Ostrowski type inequalities via new fractional conformable integrals

Erhan Set; Ahmet Ocak Akdemir; Abdurrahman Gözpınar; Fahd Jarad; Erhan Set; Ahmet Ocak Akdemir; Abdurrahman Gözpınar; Fahd Jarad

doi:10.3934/math.2019.6.1684

AIMS Mathematics

2019, Volume 4, Issue 6: 1684-1697. doi: 10.3934/math.2019.6.1684

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Ostrowski type inequalities via new fractional conformable integrals

1.
Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey
2.
Department of Mathematics, Faculty of Arts and Sciences, Ağrı İbrahim Çeçen University, Ağrı, Turkey
3.
Department of Mathematics and Computer Science, Cankaya University, 06530, Ankara, Turkey

Received: 13 July 2019 Accepted: 03 October 2019 Published: 15 October 2019
MSC : 26A33, 26A51, 26D07, 26D10, 26D15

In this present study, firstly, some necessary definitions and some results related to Riemann-Liouville fractional and new fractional conformable integral operators defined by Jarad et al. ^[13] are given. As a second, a new identity has been proved. By using this identity, new Ostrowski type inequalities has obtained involving fractional conformable integral operators. Also, some new inequalities has established for AG-convex functions via fractional conformable integrals in this study. Relevant connections of the results presented here with those earlier ones are also pointed out.
- s-convex function,
- Hermite-Hadamard inequality,
- fractional conformable integral
Citation: Erhan Set, Ahmet Ocak Akdemir, Abdurrahman Gözpınar, Fahd Jarad. Ostrowski type inequalities via new fractional conformable integrals[J]. AIMS Mathematics, 2019, 4(6): 1684-1697. doi: 10.3934/math.2019.6.1684

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Abstract

In this present study, firstly, some necessary definitions and some results related to Riemann-Liouville fractional and new fractional conformable integral operators defined by Jarad et al. ^[13] are given. As a second, a new identity has been proved. By using this identity, new Ostrowski type inequalities has obtained involving fractional conformable integral operators. Also, some new inequalities has established for AG-convex functions via fractional conformable integrals in this study. Relevant connections of the results presented here with those earlier ones are also pointed out.

References

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