CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS

DOI10.11948/2016024zbMath1463.39051OpenAlexW2264957733MaRDI QIDQ5121337

Xiaobing Gong, Pingping Zhang

Publication date: 14 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2016024

zbMATH Keywords

iterationfunctional equationvariable coefficientsdivided differenceconvex (concave) solutions

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12)

Related Items

Strongly convex solutions of a polynomial-like iterative equation with variable coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convex solutions of the multi-valued iterative equation of order \(n\)
• Existence of continuous solutions for an iterative functional series equation with variable coefficients
• Convex solutions to polynomial-like iterative equations on open intervals
• Iterative equations in Banach spaces
• Decreasing solutions and convex solutions of the polynomial-like iterative equation
• Iterative functional equations in the class of Lipschitz functions
• Characteristic solutions of polynomial-like iterative equations
• On an equation of linear iteration
• Convexity of solutions for an iterative equation in Banach spaces
• On Linear Dependence of Iterates
• Continuous solutions of a polynomial-like iterative equation with variable coefficients
• Solutions of equivariance for a polynomial-like iterative equation
• Analytic solutions for polynomial-like iterative equations with variable coefficients
• CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON OPEN SET
• Convex solutions of the polynomial-like iterative equation in Banach spaces
• Recent results on functional equations in a single variable, perspectives and open problems
• Characteristic analysis for a polynomial-like iterative equation