Integral inequalities related to the uniform measure on [0,1]

By using semigroup techniques, we state and prove a new family of sharp integral inequalities for the Sturm–Liouville operator acting on the Hilbert space L 2 ( [ 0 , 1 ] , d x ) with respect to the uniform measure.

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2025, Vol.74 (1)
Main Authors: Bentaleb, Abdellatif, Hafidi, Ali
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Hilbert space
Inequalities
Mathematics
Mathematics and Statistics
Operators (mathematics)
Online Access:Get full text
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Description
Summary:By using semigroup techniques, we state and prove a new family of sharp integral inequalities for the Sturm–Liouville operator acting on the Hilbert space L 2 ( [ 0 , 1 ] , d x ) with respect to the uniform measure.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-024-01130-3