Fractional inequalities of corrected Euler-Maclaurin-type for twice-differentiable functions

DOI10.1007/s40314-023-02235-8OpenAlexW4321480920MaRDI QIDQ2687508

Fatih Hezenci

Publication date: 2 March 2023

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-023-02235-8

zbMATH Keywords

convex functionsfractional calculusquadrature formulaeMaclaurin's formula

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical quadrature and cubature formulas (65D32) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Corrected Euler-Maclaurin's formulae
• Convex functions, partial orderings, and statistical applications
• Some Newton's like inequalities with applications
• Local fractional Newton's inequalities involving generalized harmonic convex functions
• On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals
• New version of fractional Simpson type inequalities for twice differentiable functions
• Euler-Maclaurin formulae
• On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• A new version of Newton's inequalities for Riemann-Liouville fractional integrals
• Maclaurin-type inequalities for Riemann-Liouville fractional integrals

This page was built for publication: Fractional inequalities of corrected Euler-Maclaurin-type for twice-differentiable functions