Quasiconformal reflection with respect to the boundary of an isosceles trapezoid

TL;DR

This paper provides an improved upper estimate for the quasiconformal reflection coefficient related to the boundary of an isosceles trapezoid, based on its geometric parameters, advancing previous results in the field.

Contribution

It introduces a sharper upper bound for the quasiconformal reflection coefficient specific to isosceles trapezoids, refining earlier estimates.

Findings

Established an upper estimate for the reflection coefficient

Improved upon previous bounds by Nasyrov, Sugawa, and Vuorinen

Linked geometric parameters to quasiconformal reflection properties

Abstract

We establish an upper estimate for the coefficient of quasiconformal reflection with respect to the boundary of an arbitrary isosceles trapezoid in terms of its geometric parameters; the estimate improve the result obtained in the recent paper by S.~Nasyrov, T.~Sugawa and M.~Vuorinen.