𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Best constants in some operator smoothness estimates

✍ Scribed by Barry Simon

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
179 KB
Volume
107
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Best Constants in Global Smoothness Pres
Best Constants in Global Smoothness Preservation Inequalities for Some Multivariate Operators
✍ JesΓΊs de la Cal; Ana M. Valle πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 175 KB

The Bernstein operator on the standard k-simplex and other analogous k-variate operators allow for a probabilistic representation in terms of the successive increments of a real valued superstationary stochastic process (a notion introduced in the paper) starting at the origin and having nondecreasi

Error estimates and Lipschitz constants
Error estimates and Lipschitz constants for best approximation in continuous function spaces
✍ M. Bartelt; W. Li πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 771 KB

We use a structural characterization of the metric projection PG(f), from the continuous function space to its one-dimensional subspace G, to derive a lower bound of the Hausdorff strong unicity constant (or weak sharp minimum constant) for PG and then show this lower bound can be attained. Then the

Some Best Constants in the Landau Inequa
Some Best Constants in the Landau Inequality on a Finite Interval
✍ Bengt-Olov Eriksson πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 408 KB

## An additive form of the Landau inequality for is proved for 0<c (cos(?Γ‚2n)) &2 , 1 m n&1, with equality for , where T n is the Chebyshev polynomial. From this follows a sharp multiplicative inequality, For these values of \_, the result confirms Karlin's conjecture on the Landau inequality f