Fourier effectiveness and order summability
β Scribed by W.B Jurkat; A Peyerimhoff
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 562 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We adopt here an extended version of the absolute Nevanlinna summability and apply it to study Fourier series of functions of bounded variations. The absolute < < Riesz summability R, n, β₯ , β₯ G 0, which is equivalent to the absolute Cesaro < < summability C, β₯ , is obtainable from the Nevanlinna su
## Abstract A general summability method is considered for functions from Herz spaces __K__^Ξ±^~__p,r__~ (β^__d__^ ). The boundedness of the HardyβLittlewood maximal operator on Herz spaces is proved in some critical cases. This implies that the maximal operator of the __ΞΈ__ βmeans __Ο__^__ΞΈ__^ ~__