We develop a simple geometry free context where one can formulate and prove general forms of Gehring's Lemma. We show how our result follows from a general inverse type reiteration theorem for approximation spaces.
On Strong Approximation in Hölder Norms
✍ Scribed by M. Górzeńska; M. Leśniewicz; L. Rempulska
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 212 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we present two approximation theorems on the strong de la Vallke Poussin These theorems are analogues of the LEINDLER and the PRESTIN-PROSSDORF results given in [I] and means of Fourier series of 2n-periodic functions belonging to generalized Holder spaces.
[4] for the de la Vallee Poussin means.
📜 SIMILAR VOLUMES
The approximation of functions by singular integrals is an important question in the theory of differential and integral equations. Therefore the consideration of approximation problems in various norms is useful. Recently in many papers approximation problems have been studied in the Holder norms