The paper studies the degree of approximation of functions associated with Hardy᎐Littlewood series in the Holder metric.
On the generalised Fejér means in the metric of Hölder space
✍ Scribed by Prem Chandra
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 211 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
1. Definitions and Notations
Let (pn) be a sequence of non-negative constants such that po=-O and let A P,, = pk . Then the transformations k-0 n and (1.2) n m=O T n = { P n I -I C Pn-mSm define, respectively, (R, pn) and N ~R L U N D means of the sequence (an), where s , is the partial sum of the given series -C, .
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