Stability of a new generalized reciprocal type functional equation

2022/05/05 by Idir Sadani, Sadani, Idir
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.2206.03561

openalex publication_date 2022/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of the following reciprocal type functional equation f(2x+y)+f(2x-y)=\frac2f(x)f(y)∑_\substackk=0
k is even ^l2^l-k\binomlkf(x)^(k)/(l)f(y)^(l-k)/(l)(4f(y)^(2)/(l)-f(x)^(2)/(l))^l in non-zero real and non-Archimedean spaces.

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