Work

Jensen-type inequalities on pairs of measure spaces and their applications

Year: 2026

Type: preprint

Abstract: We develop applications of a Jensen-type inequality for pairs of positive measure spaces. The framework yields $L^p$ and operator inequalities for positive integral operators, norm and entropy estimates for Fejér means, and probabilistic moment and variance bounds. We also obtain robustness estimates under random and deterministic erasures. These results provide a unified connection between Jensen-type inequalities, harmonic analysis, operator theory, probability, and robust reconstruction.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.14359

Authors: Mondal, Shankhadeep, Johnson, P. D., Mohapatra, R. N., Guinovart, David

Institution: University of Central Florida

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213298976

Cites:

Cited by:

Related to: 10