Functional equations stemming from numerical analysis

DOI10.4064/dm508-0-1zbMath1317.39032OpenAlexW2333609383WikidataQ114854393 ScholiaQ114854393MaRDI QIDQ4983481

Tomasz Szostok

Publication date: 26 March 2015

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

Full work available at URL: https://doi.org/10.4064/dm508-0-1

zbMATH Keywords

functional equationsdifference operatorsnumerical differentiation and integrationhigher-order divided differencespolynomial functions and polynomials

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82) Polynomials in general fields (irreducibility, etc.) (12E05) Functional equations for functions with more general domains and/or ranges (39B52) Difference operators (39A70) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25) Numerical methods for functional equations (65Q20)

Related Items (5)

Functional equation characterizing polynomial functions and an algorithm ⋮ On a problem of T. Szostok concerning the Hermite-Hadamard inequalities ⋮ On quadrature means ⋮ On a new class of functional equations satisfied by polynomial functions ⋮ Alienation of two general linear functional equations

Cites Work

• On the stability of the equation stemming from Lagrange MVT
• On a functional equation associated with Simpson's rule
• On two mean value properties and functional equations associated with them
• On a characterization of polynomials by divided differences
• On Sahoo-Riedel equations on a real interval
• A divided-difference characterization of polynomials over a general field
• Rudin's problem on groups and a generalization of mean value theorem
• Taylor's theorem and functional equations
• Error formulas for divided difference expansions and numerical differentiation
• Characterization of polynomials and divided difference
• On a class of equations stemming from various quadrature rules
• On a functional equation connected to Hermite quadrature rule
• On some functional equations connected to Hadamard inequalities
• Solutions of two functional equations using a result of M. Sablik
• On Some Open Problems of P. Turan Concerning Birkhoff Interpolation
• A Mean-Value Property of Cubic Polynomials-without Mean Values
• A Mean Value Property of the Derivative of Quadratic Polynomials-without Mean Values and Derivatives
• On Birkhoff Quadrature Formulas
• A Property of Quadratic Polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Functional equations stemming from numerical analysis