Inequalities for Weighted Means and Applications to Positive Definite Matrices

Weighted Norm Inequalities for Fractiona

Weighted Norm Inequalities for Fractional Integrals with an Application to Mean Convergence of Laguerre Series

✍ E. Kochneff 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 333 KB

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 (4Â3, 4).