A note on the C-N inequality
β Scribed by Roger L. Fosdick
- Publisher
- Springer
- Year
- 1970
- Tongue
- English
- Weight
- 101 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0044-2275
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this note, it is shown that the HardyαHilbert inequality for double series can Ε½ . be improved by introducing a proper weight function of the form rsin rp y Ε½ . 1y1rr Ε½ Ε½ . . O n rn with O n ) 0 into either of the two single summations. When r r r s 2, the classical Hilbert inequality is improved
A new proof is given of the nonuniform version of Fisher's inequality, first proved by Majumdar. The proof is ``elementary,'' in the sense of being purely combinatorial and not using ideas from linear algebra. However, no nonalgebraic proof of the n-dimensional analogue of this result (Theorem 3 her