Submitted:
13 February 2026
Posted:
15 February 2026
You are already at the latest version
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.
Keywords:
grüss inequality
; chebyshev functional
; q-circles
; generalized trigonometric functions
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