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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2004
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0401415 |
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Table of Contents:
- For a family of weight functions that include the general Jacobi weight functions as special cases, exact condition for the convergence of the Fourier orthogonal series in the weighted $L^p$ space is given. The result is then used to establish a Marcinkiewicz-Zygmund type inequality and to study weighted mean convergence of various interpolating polynomials based on the zeros of the corresponding orthogonal polynomials.