On the Grüss type inequalities within $p$-disks with applications
Abstract
UDC 517.5 We extend the classical Gr\"{u}ss inequality from Euclidean disks in $\mathbb{R}^2$ to generalized $p$-disks and present rigorous formulations for functions satisfying H\"{o}lder-type conditions. Several new Gr\"{u}ss-type inequalities are established and applied to establish bounds for the covariance of random variables defined either by probability density functions or by joint distributions.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Analytic and geometric function theory
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Volume
- 78
- Issue
- 1-2
- Pages
- 75–76
- Publication date
- 27 January 2026
- Language
- EN