On Multipliers for the Absolute Matrix Summability
โ Scribed by M.L. Mittal; R. Kumar
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 231 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
A theorem of Bosanquet states that the Fourier series of a 2?-periodic function of bounded variation is absolutely (C, :) summable. In this paper we give a quantitative version of Bosanquet's result.
The no-normal-flow condition states that the stream-function is constant at solid boundaries. For multiply connected domains these (unknown) constants differ per boundary and must be determined from integral conditions. This complicates discretization and solution of the problem considerably. In thi