scientific article; zbMATH DE number 1960319

zbMath1017.26017MaRDI QIDQ4415419

Mihály Bessenyei, Zsolt Páles

Publication date: 6 August 2003

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zbMATH Keywords

Hadamard's inequalityGauss-type quadrature formulaehigher-order convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

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The Hermite-Hadamard inequality in Beckenbach's setting ⋮ Support-type properties of generalized convex functions ⋮ Inequalities of Hermite-Hadamard type for higher order convex functions, revisited ⋮ Support-type properties of convex functions of higher order and Hadamard-type inequalities ⋮ Inequalities between remainders of quadratures ⋮ Old and new on the 3-convex functions ⋮ On a certain adaptive method of approximate integration and its stopping criterion ⋮ On quadrature means ⋮ On Some Recent Applications of Stochastic Convex Ordering Theorems to Some Functional Inequalities for Convex Functions: A Survey ⋮ New integral representations of \(n\)th order convex functions ⋮ Higher-order quasimonotonicity and integral inequalities ⋮ New refinements of the Hadamard inequality on coordinated convex function ⋮ INTEGRAL ERROR REPRESENTATION OF HERMITE INTERPOLATING POLYNOMIAL AND RELATED INEQUALITIES FOR QUADRATURE FORMULAE

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