Bounds for the Chebyshev Functional Defined on the q-Circles with Application

Preprints.org 2026 Preprint Open access

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Authors: Mohammad W. Alomari, Milica Klaričić Bakula
DOI: 10.20944/preprints202602.1140.v1
Cited by: 0

Abstract

In this paper, we move beyond the classical setting by redefining the Chebyshev functional in the context of q-circles situated within Minkowski space, rather than the standard Euclidean circles in R2. This approach introduces a new theoretical framework suitable for non-Euclidean geometries. We derive sharp estimates for the functional when applied to functions on q-circles that adhere to Hölder-type continuity conditions.

Fields of Study & Subjects

Mathematical Inequalities and Applications Analytic and geometric function theory Approximation Theory and Sequence Spaces

Publication details

Journal / source
Preprints.org
Publication date
15 February 2026
Language
EN
Document type
Preprint