Integrability andL1-convergence of double cosine trigonometric series
β Scribed by J. Kaur; S. S. Bhatia
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 86 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1573-8175
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π SIMILAR VOLUMES
In this paper we study weighted integrability of the sum of double cosine series. w The results obtained extend a theorem of Moricz Proc. Amer. Math. Soc. 109 ## Ε½ . x p 1990 417α425 on L -integrability of double cosine series and two theorems of w Ε½ . x p
New integrability and L 1 -convergence classes for the r-times differentiated trigonometric series kβZ (ik) r c k e ikx are derived using known results on integrability and L 1 -convergence of trigonometric series. These classes, Theorems 1 and 2, subsume all known integrability and L 1 -convergence