Interpolation Mixed with I2-Approximation

✍ Scribed by M.A. Bokhari

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 275 KB
• Volume: 83
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1995.1120

✦ Synopsis

We consider sqn roots of unity and define a class (\mathscr{Z}{N}^{\sigma} .\left(U{s}, f\right)) of rational functions which interpolate a given analytic function (f) on (U_{s}), a large subset of the roots of unity satisfying a congruence relation. (f) is then approximated over (\mathscr{R}{s}^{\sigma} \cdot\left(f, U{s}\right)) with respect to (l_{2})-norm on the complement of (U_{s}). We also discuss Walsh type equiconvergence. 1995 Academic Press. Inc.