General solution and stability analysis of a quadratic-cubic functional equation

In this paper, we derive the general solution of a quadratic-cubic functional equation 3?(x + 3y)-3?(x-3y) + 36?(2y) = 9?(x + y)-9?(x-y) + 16?(3y) and investigate the Hyers-Ulam stability of the equation.

Authors

Hemen Dutta (ORCID: https://orcid.org/0000-0003-2765-2386)
Apurba Chutia

Institutions

Gauhati University (IN)

Publication Details

Journal: Filomat
Published: 2025-01-01
DOI: https://doi.org/10.2298/fil2507209c
Primary Topic: Functional Equations Stability Results
Type: article
Field-Weighted Citation Impact: 0.00

Funders

National Board for Higher Mathematics

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article

General solution and stability analysis of a quadratic-cubic functional equation

Hemen Dutta, Apurba Chutia

Jan 1, 2025

Filomat

Functional Equations Stability Results

article

General solution and stability analysis of a quadratic-cubic functional equation

Hemen Dutta, Apurba Chutia

January 1, 2025article en

Abstract

FilomatVol. 39(7)

Gauhati University (IN)

National Board for Higher Mathematics

Openalex Percentile: Top 69%

Functional Equations Stability Results

DOI Open Access PDF OpenAlex

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General solution and stability analysis of a quadratic-cubic functional equation — Hemen Dutta, Apurba Chutia · Filomat (2025) | TGRS Research Map | TGRS