On the stability of new functional equation involving a recurrence relation

DOI10.1007/S41478-022-00439-5OpenAlexW4281684369MaRDI QIDQ2692616

Sadani Idir

Publication date: 22 March 2023

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00439-5

zbMATH Keywords

functional equationHyers-Ulam-Rassias stability

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)

Cites Work

• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• On the stability of the functional equation \(f(2x+y)+f \left(\frac{x+y}{2}\right)=\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}\)
• Multiplicative inverse functional equations. Theory and applications
• Stability of functional equations in random normed spaces
• Functional Equations and Inequalities with Applications
• On the Stability of the Linear Mapping in Banach Spaces
• Classes of transformations and bordering transformations
• Stability of functional equations in several variables
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