The Uniform Convergence of Certain Trigonometric Series
β Scribed by T.F. Xie; S.P. Zhou
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 224 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
By numerical experiments they were led to conjecture The first published solution by J. Boersma and P. J. DeDoelder 1 confirms the first conjecture and disproves the second one numerically. Their proof has been criticized by several authors, since it ignores all w x questions of convergence. In 2 ,
Necessary and sufficient conditions are obtained for a continuous function guaranteeing the uniform convergence on the whole interval [ &1, 1] of its Lagrange interpolant based on the Jacobi nodes. The conditions are in terms of 4-variation, 8-variation, the modulus of variation, and the Banach indi