On the Strong Logarithmic Summabilities of Fourier Series
✍ Scribed by Włodzimierz Łenski
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 270 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The paper deals with approximation properties of JAcoBI-FOURIER-expansions in dependence of smoothness properties of the treated functions. Such relations are wellknown for trigonometrical series, we refer to LEINDLER [6], [7], OSKOLKOV [9], SCHMEIS-SER and SICKEL [ll]. In the same way as in the pa
of Denton (Texas) (Eingegangen am 4.6. 1971) ## 1. Definitions Let a, be a giveninfinite series and let A, = il (n) be a positive inonotonic function of n tending t o infinity with n. We write The series z c n , i s said to he summable (R, An, r ) , r 2 0, t o sum s, if A > ( w ) / w ' --+ s, as