ScholarLens Back to search
2002•Unpublished venueRequires access

On the Hyers-Ulam stability of quadratic functional equations.

Ick-Soon Chang, Hark-Mahn Kim

Open publisher page 33 citations

Abstract

ABSTRACT. In this paper, we obtain the general solution and the generalized Hyers-Ulam stability for quadratic functional equations f(2x + y) + f(2x − y) = f(x + y) + f(x − y) + 6f(x) and f(2x + y) + f(x + 2y) = 4f(x + y) + f(x) + f(y). Key words and phrases: Hyers-Ulam-Rassias stability; Quadratic function. 2000 Mathematics Subject Classification. 39B22, 39B52, 39B72. 1.

About this research paper

What this paper is about

ABSTRACT. In this paper, we obtain the general solution and the generalized Hyers-Ulam stability for quadratic functional equations f(2x + y) + f(2x − y) = f(x + y) + f(x − y) + 6f(x) and f(2x + y) + f(x + 2y) = 4f(x + y) + f(x) + f(y). Key words and phrases: Hyers-Ulam-Rassias stability; Quadratic function. 2000 Mathematics Subject Classification. 39B22, 39B52, 39B72. 1.

Why it matters

OpenAlex reports 33 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

ABSTRACT. In this paper, we obtain the general solution and the generalized Hyers-Ulam stability for quadratic functional equations f(2x + y) + f(2x − y) = f(x + y) + f(x − y) + 6f(x) and f(2x + y) + f(x + 2y) = 4f(x + y) + f(x) + f(y). Key words and phrases: Hyers-Ulam-Rassias stability; Quadratic function. 2000 Mathematics Subject Classification. 39B22, 39B52, 39B72. 1.

Key concepts: Mathematics, Quadratic equation, Stability (learning theory), Combinatorics, Mathematical analysis, Applied mathematics, Pure mathematics, Geometry

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
On the Hyers-Ulam stability of quadratic functional equations. — Research Paper | ScholarLens