On the Grüss type inequalities within $p$-disks with applications

• Date: 2026
• Main Author: Alomari, Mohammad W.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6690
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...