Some new Milne-type inequalities
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.
Authors
- Eva Tourı́s (ORCID: https://orcid.org/0000-0001-5435-9797)
- José M. Sigarreta (ORCID: https://orcid.org/0000-0002-0863-4695)
- José M. Rodríguez
- Paul Bosch (ORCID: https://orcid.org/0000-0001-5194-4173)
Institutions
- Universidad del Desarrollo (CL)
- Universidad Autónoma de Guerrero (MX)
- Universidad Carlos III de Madrid (ES)
- Universidad Autónoma de Madrid (ES)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2024-08-23
- DOI
- https://doi.org/10.1186/s13660-024-03184-4
- Citations
- 3
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 2.93
Funders
- Comunidad de Madrid
- Universidad Carlos III de Madrid
- Agencia Estatal de Investigación