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An application of matrix inequalities to certain functional inequalities involving fractional powers

✍ Scribed by Keiichi Watanabe


Book ID
120732482
Publisher
Hindawi Publishing Corporation
Year
2012
Tongue
English
Weight
158 KB
Volume
2012
Category
Article
ISSN
1025-5834

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Weighted Norm Inequalities for Fractiona
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We prove norm inequalities with exponential weights for the Riemann Liouville fractional integral. As an application, we show for certain functions that their Laguerre expansions will converge in the L p norm for some p outside the standard range of (4Γ‚3, 4).