✦ LIBER ✦

Best Monotone Approximation Using a Peak Norm

✍ Scribed by D.A. Legg; D.W. Townsend

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 129 KB
Volume: 205
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.5195

No coin nor oath required. For personal study only.

✦ Synopsis

Monotone approximation relative to peak norms is studied both on an interval and in the discrete case. Existence and some structure results are obtained which demonstrate that peak norm approximation has similar properties to L approxi-1 mation. In particular, sup's and inf's of best approximants are best approximants Ž . in the discrete case and a half-above, half-below property is demonstrated.

📜 SIMILAR VOLUMES

On Approximation Using a Peak Norm

✍ C. Li; G.A. Watson 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 264 KB

Dependence of α in Peak Norms and Best P

Dependence of α in Peak Norms and Best Peak Norms Approximation

✍ Chengmin Yang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 151 KB

where + denotes the Lebesgue measure. We say p # U is a best as functions of : for fixed f. We shall show their continuous dependence on : and differentiability with respect to :.

The Limit of Best Generalized Peak Norm

The Limit of Best Generalized Peak Norm Approximations

✍ Chong Li; G.A. Watson 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 94 KB

Norms referred to as generalized peak norms involve a parameter α which lies between 0 and 1. We consider relationships between the limits of solutions to approximation problems involving these norms and solutions of problems using the norms associated with the limiting values.

Best Approximation by the Inverse of a M

Best Approximation by the Inverse of a Monotone Polynomial and the Location Problem

✍ Daniel Wulbert 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 144 KB

Stability, analyticity, and almost best

Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations

✍ A. H. Schatz; V. Thomée; L. B. Wahlbin 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB 👁 2 views

We consider semidiscrete solutions in quasi-uniform finite element spaces of order O(h r ) of the initial boundary value problem with Neumann boundary conditions for a second-order parabolic differential equation with time-independent coefficients in a bounded domain in R N . We show that the semigr