A Note on Hardy's Inequality and Similar Inequalities
โ Scribed by Chow, Y. C.
- Book ID
- 111905394
- Publisher
- Oxford University Press
- Year
- 1939
- Tongue
- English
- Weight
- 244 KB
- Volume
- s1-14
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this article, using the properties of power mean and induction, new strengthened Carleman's inequality and Hardy's inequality are obtained. We also give an answer to the conjectures proposed by X. Yang in the literature Yang (2001) .
In this note, it is shown that the HardyแHilbert inequality for double series can ลฝ . be improved by introducing a proper weight function of the form rsin rp y ลฝ . 1y1rr ลฝ ลฝ . . 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
We give a new approach to Gehring's lemma using reversed Hardy inequalities.