Two new theorems on mappings uniformly continuous and convex with applications to quadrature rules and means

DOI10.1016/S0096-3003(02)00359-4zbMath1020.26012OpenAlexW2023373877MaRDI QIDQ1399791

Uǧur S. Kirmaci, Muhamet Emin Özdemir

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00359-4

zbMATH Keywords

numerical integrationconvex functionsuniformly continuousHermite-Hadamard inequalityspecial means

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (8)

On some new inequalities of Hermite-Hadamard type for functions whose derivatives are \(s\)-convex in the second sense in the absolute value ⋮ Hermite-Hadamard type inequalities with applications ⋮ On some inequalities for s-convex functions and applications ⋮ Some inequalities for the \(s\)-Godunova-Levin type functions ⋮ Unnamed Item ⋮ Some inequalities for mappings whose derivatives are bounded and applications to special means of real numbers. ⋮ On the Hermite-Hadamard inequality and other integral inequalities involving two functions ⋮ Hadamard-type inequalities for s-convex functions

Cites Work

• A theorem on mappings with bounded derivatives with applications to quadrature rules and means.
• Functional equalities and some mean values
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula

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