On the asymptotics of integrals related to the generalized Cantor ladder

TL;DR

This paper investigates the asymptotic behavior of certain parametric integrals associated with the Cantor ladder, a self-similar function, contributing to understanding their mathematical properties.

Contribution

It provides new asymptotic analysis of integrals related to the generalized Cantor ladder, expanding knowledge of self-similar functions.

Findings

Derived asymptotic formulas for integrals involving the Cantor ladder.

Enhanced understanding of the mathematical structure of self-similar functions.

Established connections between the Cantor ladder and integral asymptotics.

Abstract

The Cantor ladder is naturally included into various families of self-similar functions. In the frame of these families we study the asymptotics of some parametric integrals.