Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 2025 11 16 Operator inequality related to p-angular distance 10249 10.22075/ijnaa.2025.37087.5427 EN Setareh Rajabi Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran Bahman Taherkhani Department of Mathematics, Payame Noor University, Tehran, Iran 0000-0002-8146-2025 Journal Article 2025 03 22 Given $p, q \in \mathbb{R}$. The purpose of this paper is to discuss inequalities related to $p$-angular and $q$-angular distances for operators. We present some inequalities for absolute value operators which are generalization of inequalities studied by Zou et al. The equality conditions are also investigated. Absolute value operators Dunkl--Williams inequality p--angular distance https://ijnaa.semnan.ac.ir/article_10249_28fda3e1d182e68d525267166df815af.pdf