Some new Milne-type inequalities

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...

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Veröffentlicht in:Journal of inequalities and applications 2024-08, Vol.2024 (1), p.106-14
Hauptverfasser: Bosch, Paul, Rodríguez, José M., Sigarreta, José M., Tourís, Eva
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Applied mathematics
Big Data
Data analysis
Discrete Milne’s inequality
Fractional integral inequalities
Inequalities
Integrals
Mathematical functions
Mathematics
Mathematics and Statistics
Milne-type inequalities
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Zusammenfassung: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.
ISSN:1025-5834
1029-242X
DOI:10.1186/s13660-024-03184-4