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 Note on Hardy's Persistent Numbers
β Scribed by Rod McBeth
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 186 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We give a new approach to Gehring's lemma using reversed Hardy inequalities.
## Abstract Fu and Lu et al. 7 showed that the commutator \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {H}\_{\beta ,b}$\end{document} generated by the fractional Hardy operator and a locally integrable function __b__ is bounded on the homogenous Herz spaces
## Abstract The __book with n pages__ __B__~__n__~ is the graph consisting of __n__ triangles sharing an edge. The __book Ramsey number__ __r__(__B__~__m__~,__B__~__n__~) is the smallest integer __r__ such that either __B__~__m__~βββ__G__ or __B__~__n__~βββ__G__ for every graph __G__ of order __r__