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Research Article | Open Access

Fractional Ostrowski type inequalities for differentiable harmonically convex functions

Thanin Sitthiwirattham1, Muhammad Aamir Ali2( ), Hüseyin Budak3, Sotiris K. Ntouyas4,5, Chanon Promsakon6
Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China
Department of Mathematics, Faculty of Science and Arts, Dü zce University, Düzce-Turkey
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand
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Abstract

In this paper, we prove some new Ostrowski type inequalities for differentiable harmonically convex functions using generalized fractional integrals. Since we are using generalized fractional integrals to establish these inequalities, therefore we obtain some new inequalities of Ostrowski type for Riemann-Liouville fractional integrals and k-Riemann-Liouville fractional integrals in special cases. Finally, we give some applications to special means of real numbers for newly established inequalities.

Keywords

Hermite-Hadamard inequalitiesgeneralized fractional integralsharmonically convex functions
CLC number: 26D07, 26D10, 26D15

References

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AIMS Mathematics
Volume 7 Issue 3,
March 2022
Pages 3939-3958
DOI: 10.3934/math.2022217

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Cite this article:
Sitthiwirattham T, Ali MA, Budak H, et al. Fractional Ostrowski type inequalities for differentiable harmonically convex functions. AIMS Mathematics, 2022, 7(3): 3939-3958. https://doi.org/10.3934/math.2022217

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Received: 01 August 2021
Accepted: 28 November 2021
Published: 15 March 2021
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)