Work

Quantum integral Berwald and related inequalities

Year: 2026

Type: article

Abstract: We establish quantum-integral analogues of Berwald-type inequalities on finite intervals. Starting from a generalized q -Favard inequality for nonnegative, nondecreasing functions whose $1/k$ -th power is concave, we derive a q -Berwald inequality and weighted and product-type extensions. The arguments use integral comparison principles developed in earlier work on quantum Favard inequalities. Three explicit power-function examples illustrate the estimates and their dependence on the quantum parameter $q\in (0,1)$ . We also identify the classical limits as $q\to 1^{-}$ . The scope of the results is determined by the stated concavity and monotonicity hypotheses; no corresponding general assertion is made for arbitrary convex functions.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-026-03557-x

Authors: Chun Tong, Jingwei Han, Jiao Yu

Institutions: Ningbo Polytechnic, Hangzhou Dianzi University Information Engineering School, Hangzhou Dianzi University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W7225650968