A Note on Weyl Type Discrete Inequalities
✍ Scribed by B.G. Pachpatte
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 133 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
If T or T \* is log-hyponormal then for every f g H T , Weyl's theorem holds Ž . Ž Ž .. for f T , where H T denotes the set of all analytic functions on an open Ž . neighborhood of T . Moreover, if T \* is p-hyponormal or log-hyponormal or Ž Ž .. Ž . M-hyponormal then for every f g H T , a-Weyl's t
In this paper we discuss some systems of two discrete inequalities of Gronwall type. Some applications of our results are given. ᮊ 1997 Academic Press ss0 y1 Ž . s 0 and Ł C s s 1.
In this note, it is shown that the Hardy᎐Hilbert inequality for double series can Ž . be improved by introducing a proper weight function of the form rsin rp y Ž . 1y1rr Ž Ž . . 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