Pre-Schwarzian and Schwarzian norm estimates for subclasses of univalent functions

In the present article, we are focused to study the sharp estimates of the pre-Schwarzian and Schwarzian norms for subclasses of univalent functions. We will generalize the results of Carrasco and Hernández (Anal Math Phys 13(2):22, 2023) to the case of Janowski convex mappings in terms of the value \(h^{\prime \prime }(0)\) $h^{″}(0)$ . We will also derive the sharp bound of pre-Schwarzian norm for a subclass of harmonic mappings whose fixed analytic part is a convex function of order \(\alpha (0 \le \alpha <1)\) $\alpha (0\le \alpha <1)$ .