Some Lp Inequalities for B-Operators
| Autor: | Sajad Hussain Ahangar, Nisar Ahmad Rather |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Applied Mathematics. :155-166 |
| ISSN: | 2152-7393 2152-7385 |
| Popis: | If P(z) is a polynomial of degree at most n having all its zeros in , then it was recently claimed by Shah and Liman ([1], estimates for the family of $B$-operators, Operators and Matrices, (2011), 79-87) that for every R≧1, p ≧ 1, where B is a Bn-operator with parameters in the sense of Rahman [2], and . Unfortunately the proof of this result is not correct. In this paper, we present certain more general sharp Lp-inequalities for Bn-operators which not only provide a correct proof of the above inequality as a special case but also extend them for 0≦p﹤1 as well. |
| Databáze: | OpenAIRE |
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