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Fractional Ostrowski type inequalities for differentiable harmonically convex functions

Authors :
Thanin Sitthiwirattham
Muhammad Aamir Ali
Hüseyin Budak
Sotiris K. Ntouyas
Chanon Promsakon
Source :
AIMS Mathematics, Vol 7, Iss 3, Pp 3939-3958 (2022)
Publication Year :
2022
Publisher :
AIMS Press, 2022.

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.

Details

Language :
English
ISSN :
24736988
Volume :
7
Issue :
3
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.791f8b1d15f644eca7fbd519ef87a16b
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2022217?viewType=HTML