On a Generalized Conjecture by Alzer and Matkowski
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.
Authors
- Włodzimierz Fechner (ORCID: https://orcid.org/0000-0002-9653-3500)
- Marta Pierzchałka
- Gabriela Smejda
Institutions
- Lodz University of Technology (PL)
- Institute of Mathematics (PL)
Publication Details
- Journal
- Annales Mathematicae Silesianae
- Published
- 2025-04-27
- DOI
- https://doi.org/10.2478/amsil-2025-0007
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00