Work

The Coincidence Set of Generalized Lines and Generalized Monotone Functions

Year: 2025

Type: article

Abstract: We investigate the coincidence set of generalized lines and generalized monotone functions, when these notions are induced by an n-parameter Beckenbach family. It turns out that the coincidence set is either an interval or a finite set of at most n elements. Moreover, we show that this set can have exactly k elements if $$k\in \{1,\dots ,n\}$$ k ∈ { 1 , ⋯ , n } and the underlying family is an extended and complete Chebyshev-system.

Source: Results in Mathematics

DOI: 10.1007/s00025-025-02379-5

Authors: Mihály Bessenyei, Norbert Tóth

Institutions: University of Miskolc, University of Debrecen

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Innovációs és Technológiai Minisztérium