Various stabilities of reciprocal-septic and reciprocal-octic functional equations

DOI10.1142/S1793557121500340zbMath1464.39026OpenAlexW3003660440MaRDI QIDQ4985470

Abasalt Bodaghi, Ali Bagheri Vakilabad, Beri Venkatachalapathy Senthil Kumar

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500340

zbMATH Keywords

generalized Hyers-Ulam stabilityreciprocal functional equationreciprocal-octic functional equationreciprocal-septic 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 (3)

Stabilities and non-stabilities of the reciprocal-nonic and the reciprocal-decic functional equations ⋮ Relation between electrical resistance and conductance using multifarious functional equations and applications to parallel circuit ⋮ Unnamed Item

Cites Work

• Cubic derivations on Banach algebras
• Hyperstability of Jordan triple derivations on Banach algebras
• 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 reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields
• 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
• On the Stability of the Linear Mapping in Banach Spaces
• Solution and stability of a mixed type functional equation
• Stabilities and non-stabilities of the reciprocal-nonic and the reciprocal-decic functional equations
• FUNDAMENTAL STABILITIES OF THE NONIC FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY NORMED SPACES
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