The sharp bound of certain second Hankel determinants for inverse functions of the class of convex functions with respect to symmetric points

Key Points

Sharp upper bounds for second Hankel determinants were identified within the context of convex functions and symmetric points.
This analysis reveals valuableinformation on extremal functions, contributing significantly to our understanding of the topic.
By examining inverse functions, the study highlights new characteristics of second Hankel determinants and their behavior.
The findings call for further exploration into the implications of these bounds on other related mathematical constructs.

Abstract

In this paper, we focus on the sharp upper bounds for specific second-order Hankel determinants pertaining to the inverse function, denoted as f−1. Our investigation is centered on scenarios where f is a member of the class of convex functions with respect to symmetric points. By delving into this particular class, we aim to uncover and establish sharp bounds for these second Hankel determinants, providing valuable insights to extremal functions within this context.

The sharp bound of certain second Hankel determinants for inverse functions of the class of convex functions with respect to symmetric points

Key Points

Abstract

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