Work

Some new Milne-type inequalities

Year: 2024

Type: article

Abstract: Inequalities play a main role in pure and applied mathematics. In this paper, we prove a generalization of Milne inequality for any measure space. The argument in the proof of this inequality allows us to obtain other Milne-type inequalities. Also, we improve the discrete version of Milne inequality, which holds for any positive value of the parameter p. Finally, we present a Milne-type inequality in the fractional context.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-024-03184-4

Authors: Paul Bosch, José M. Rodríguez, José M. Sigarreta, Eva Tourís

Institutions: Universidad del Desarrollo, Universidad Carlos III de Madrid, Universidad Autónoma de Guerrero, Universidad Autónoma de Madrid

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,990

Funders: Comunidad de Madrid, Universidad Carlos III de Madrid, Agencia Estatal de Investigación