Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–LiouvilleFractional Integral Inequalities

Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–LiouvilleFractional Integral Inequalities

This paper develops integral inequalities for first-order differentiable convex functions within the framework of fractional calculus, extending Boole-type inequalities to this domain. An integral equality involving Riemann–Liouville fractional integrals is established, forming the foundation for de...

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Bibliographic Details
Main Authors: Abdul Mateen, Wali Haider, Asia Shehzadi, Hüseyin Budak, Bandar Bin-Mohsin
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Fractal and Fractional
Subjects:
inequalities of Boole’s type
fractional calculus
quadrature formulas
Riemann–Liouville fractional integrals
error bounds
functions with convexity
Online Access:https://www.mdpi.com/2504-3110/9/1/52
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