Approximation on the reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields

DOI10.1186/s13662-017-1128-zzbMath1422.39062OpenAlexW2593758542WikidataQ59603988 ScholiaQ59603988MaRDI QIDQ1628627

Beri Venkatachalapathy Senthil Kumar, Abasalt Bodaghi, Sang Og Kim

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1128-z

zbMATH Keywords

generalized Hyers-Ulam stabilitynon-Archimedean fieldreciprocal functional equationreciprocal-cubic functional equationreciprocal-quartic functional equation

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)

Related Items (11)

Stabilities and non-stabilities of the reciprocal-nonic and the reciprocal-decic functional equations ⋮ Fuzzy approximations of a multiplicative inverse cubic functional equation ⋮ Relation between electrical resistance and conductance using multifarious functional equations and applications to parallel circuit ⋮ Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach ⋮ Approximation of a system of rational functional equations of three variables ⋮ Stabilities of various multiplicative inverse functional equations ⋮ Various stabilities of reciprocal-septic and reciprocal-octic functional equations ⋮ Classical stabilities of multiplicative inverse difference and adjoint functional equations ⋮ Approximate reciprocal Lie \(\star \)-derivations ⋮ Stabilities and non-stabilities of a new reciprocal functional equation ⋮ Various Approximate Multiplicative Inverse Lie $$\star $$-Derivations

Cites Work

• Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields
• On approximation of approximately linear mappings by linear mappings
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Approximation on the quadratic reciprocal functional equation
• On the stability of the linear transformation in Banach spaces
• On the stability of quadratic reciprocal functional equation in non-Archimedean fields
• Stability of a mixed type additive and quartic functional equation
• Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations
• Stability of Isometries
• On the Stability of the Linear Mapping in Banach Spaces
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
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