What question did this study set out to answer?

The aim is to create fractional integral inequalities using higher-order bounded derivatives and fractional operators.

April 13, 2026Open Access

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

Puntos clave

The aim is to create fractional integral inequalities using higher-order bounded derivatives and fractional operators.
Utilized Riemann-Liouville fractional integral operators.
Explored properties of absolutely continuous functions with bounded higher-order derivatives.
Developed composite quadrature rules for estimating the remainder of fractional integrals.
Established new inequalities of the Ostrowski type.
Found correlations with previous research on inequalities.
Introduced estimation techniques for remainder terms in fractional integrals.

Resumen

Abstract 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.

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo