Relation between Exponential Moment problem and Classical Moment problem

TL;DR

This paper explores the connection between the exponential moment problem and the classical moment problem, providing insights into their solutions on half-lines and compact intervals, which could impact related mathematical and applied fields.

Contribution

It establishes a novel relationship between solutions of the exponential and classical moment problems on specific domains, enhancing understanding of their interplay.

Findings

Identifies a link between exponential and classical moment problems.

Provides conditions under which solutions to both problems correspond.

Offers potential applications in mathematical analysis and probability theory.

Abstract

The main result of the paper is an interesting relation between the solution of the truncated Exponential Moment problem and truncated Classical Moment problem, considered on the half-line or on a compact interval.