Schur-convexity and the Simpson formula

DOI10.1016/j.aml.2011.03.047zbMath1218.26010OpenAlexW2011208567MaRDI QIDQ548411

Iva Franjić, Josip E. Pečarić

Publication date: 28 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.03.047

zbMATH Keywords

Schur-convexity4-convex functionsSimpson formula

Mathematics Subject Classification ID

Means (26E60) Convexity of real functions of several variables, generalizations (26B25) Other analytical inequalities (26D20)

Related Items (4)

Schur-convexity and monotonicity of error of a general three-point quadrature formula ⋮ The relationship between r-convexity and Schur-convexity and its application ⋮ Schur convexity for some differences of convex functions ⋮ Schur-convexity related to co-ordinated convex functions in plane

Cites Work

• Unnamed Item
• Convexity of the integral arithmetic mean of a convex function
• Convex functions, partial orderings, and statistical applications
• On Euler trapezoid formulae
• Schur convexity and Hadamard's inequality
• Inequalities: theory of majorization and its applications
• A note on Schur-convex functions

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