New approaches on fractional integral inequalities for functions whose higher-order derivatives are bounded

In the present paper, utilizing a wide class of fractional integral operators (namely the Riemann-Liouville fractional integral operator) and some functions whose higher-order derivatives are absolutely continuous, we develop novel fractional integral inequalities of the Ostrowski type. Furthermore, the results obtained are found to correlate with the findings of previous studies which have identified inequalities. Finally, novel composite quadrature rules are investigated for estimating the remainder term of fractional integral of a function. In conclusion, the methodology described in this article is expected to stimulate further research in this area.

Dergi

DEMONSTRATIO MATHEMATICA

Yıl

2026

Cilt

59

Sayı

1

ISSN

0420-1213

eISSN

2391-4661

DOI

10.1515/dema-2025-0198

WoS UID

WOS:001737147900001