On a class of equations stemming from various quadrature rules

DOI10.1007/S10474-010-0060-4zbMath1274.39043OpenAlexW2042330047WikidataQ114859283 ScholiaQ114859283MaRDI QIDQ1945272

B. Koclȩga-Kulpa, Tomasz Szostok

Publication date: 5 April 2013

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-0060-4

zbMATH Keywords

functional equationquadrature rulepolynomial functionapproximate integration

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (7)

Stability of functional equations connected with quadrature rules ⋮ On a problem of T. Szostok concerning the Hermite-Hadamard inequalities ⋮ On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations ⋮ On spectral synthesis in varieties containing the solutions of inhomogeneous linear functional equations ⋮ On a new class of functional equations satisfied by polynomial functions ⋮ Functional equations stemming from numerical analysis ⋮ On a functional equation connected to Hermite quadrature rule

Cites Work

• On Sahoo-Riedel equations on a real interval
• Rudin's problem on groups and a generalization of mean value theorem
• Taylor's theorem and functional equations
• On some functional equations connected to Hadamard inequalities
• Characterization of higher-order monotonicity via integral inequalities
• A Property of Quadratic Polynomials
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