Work

On a Generalized Conjecture by Alzer and Matkowski

Year: 2025

Type: article

Abstract: We study a recent conjecture proposed by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. The original conjecture was affirmatively resolved by Tomasz Małolepszy. We deal with generalizations for real or complex mappings acting on a linear space.

Source: Annales Mathematicae Silesianae

DOI: 10.2478/amsil-2025-0007

Authors: Włodzimierz Fechner, Marta Pierzchałka, Gabriela Smejda

Institution: Lodz University of Technology

Language: English

Topic: Functional Equations Stability Results

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409853329

FWCI: 1.924

Cites: 3

Cited by: 1

Related to: 10