On the stability of the functional equation \(f(2x+y)+f \left(\frac{x+y}{2}\right)=\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}\)
From MaRDI portal
Publication:2057290
DOI10.2478/tmmp-2020-0019zbMath1479.39033OpenAlexW3103676579MaRDI QIDQ2057290
Publication date: 6 December 2021
Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/tmmp-2020-0019
Related Items (3)
On the stability of new functional equation involving a recurrence relation ⋮ A fractional order delay differential model for survival of red blood cells in an animal: stability analysis ⋮ Stabilities and non-stabilities of a new reciprocal functional equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields
- A functional equation originating from elliptic curves
- On the stability of generalized quartic mappings in quasi-\(\beta\)-normed spaces
- Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces
- Solution of a problem of Ulam
- On approximation of approximately linear mappings by linear mappings
- Stability of a functional equation deriving from cubic and quadratic functions.
- Two multi-cubic functional equations and some results on the stability in modular spaces
- On the stability of the linear functional equation in a single variable on complete metric groups
- Additive functional equations and partial multipliers in \(C^*\)-algebras
- On the stability of the linear transformation in Banach spaces
- Functional Equations and Inequalities with Applications
- On the Stability of the Linear Mapping in Banach Spaces
- Multiplicative Transpormations
- Classes of transformations and bordering transformations
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- Stability of functional equations in several variables
- An inequality, equivalent to the parallelogram equation
This page was built for publication: On the stability of the functional equation \(f(2x+y)+f \left(\frac{x+y}{2}\right)=\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}\)
