Fejér type inequalities for higher order convex functions and quadrature formulae

DOI10.1007/S00010-021-00825-7zbMath1494.26035OpenAlexW3176910500MaRDI QIDQ2123719

Yanyan Li

Publication date: 14 April 2022

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-021-00825-7

zbMATH Keywords

quadrature formulaeHermite-Hadamard inequalitieshigher order convex functionsFejér inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (1)

Weighted Hermite-Hadamard-type inequalities for generalizations of Steffensen’s inequality via the extension of Mongomery identity

Cites Work

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• Fejer and Hermite-Hadamard type inequalities for superquadratic functions
• Convex functions, partial orderings, and statistical applications
• Hermite-Hadamard type inequalities for higher order convex functions and various quadrature rules
• On weighted generalization of the Hermite-Hadamard inequality
• Extensions of the Hermite-Hadamard inequality with applications
• Weighted version of general integral formula of Euler type
• New inequalities of Hermite-Hadamard type for n-times differentiable convex and concave functions with applications

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