Symmetry in Functional Equations and Analytic Inequalities II

Lupaş, Alina Alb

doi:10.3390/sym14020268

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2022

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“…In 2022, Govindan et al [36] derived the stability of an additive functional equation originating from the characteristic polynomial of degree three. Lupas [37] presented a summary of symmetry in functional equations and analytic inequalities. El-Hady et al [38] studied the stability of the equation of q-wright affine functions in non-Archimedean (n, β)-Banach Spaces.…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic Fuzzy Stability of an Euler–Lagrange Symmetry Additive Functional Equation via Direct and Fixed Point Technique (FPT)

et al. 2022

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In this article, a new class of real-valued Euler–Lagrange symmetry additive functional equations is introduced. The solution of the equation is provided, assuming the unknown function to be continuous and without any regularity conditions. The objective of this research is to derive the Hyers–Ulam–Rassias stability (HURS) in intuitionistic fuzzy normed spaces (IFNS) by applying the classical direct method and fixed point techniques (FPT). Furthermore, it is proven that the Euler–Lagrange symmetry additive functional equation and the control function, which is the IFNS of the sums and products of powers of norms, is stable. In addition, a few examples where the solution of this equation can be applied in Fourier series and Fourier transforms are demonstrated.

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Section: Introductionmentioning

confidence: 99%