๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Approximation of unbounded functions and applications to representations of semigroups

โœ Scribed by Sen-Yen Shaw


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
945 KB
Volume
28
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Approximation of Unbounded Functions by
โœ H. S. Kasana; H. Sollervall ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 293 KB

## Abstract A unified class of linear positive operators has been defined. Using these operators some approximation estimates have been obtained for unbounded functions. For particular linear positive operators these results sharpen and improve the earlier estimates due to Fuhua Cheng (J. Approx. T

Decay of Heat Semigroups in Lโˆž and Appli
โœ Philippe Souplet ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 166 KB

We characterize all domains 0 of R N such that the heat semigroup decays in L(L (0)) or L(L 1 (0)) as t ร„ . Namely, we prove that this property is equivalent to the Poincare inequality, and that it is also equivalent to the solvability of &2u= f in L (0) for all f # L (0). In particular, under mild

Optimal and Non-optimal Rates of Approxi
โœ Jung-Chan Chang; Sen-Yen Shaw ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 332 KB

For a general approximation process we formulate theorems concerning rates of convergence, including theorems about saturation class, non-optimal rates, and sharpness of non-optimal convergence. The general results are then applied to n-times integrated semigroups and cosine functions, yielding some

Stability of Markov Semigroups and Appli
โœ Katarzyna Pichรณr; Ryszard Rudnicki ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 264 KB

A new theorem for asymptotic stability of Markov semigroups is proved. This result is applied to semigroups generated by parabolic systems describing the evolution of densities of two-state diffusion processes. แฎŠ 1997 Academic Press ลฝ . ัจt ลฝ .