Lower Bounds of Copson Type for Hausdorff Matrices on Weighted Sequence Spaces
Let = be a non-negative matrix. Denote by the supremum of those , satisfying the following inequality: where , , and also is increasing, non-negative sequence of real numbers. If we used instead of The purpose of this paper is to establish a Hardy type formula for , where is Haus...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of Tehran
2011-06-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Subjects: | |
| Online Access: | https://jsciences.ut.ac.ir/article_23039_f0dc72983d8fe9185ebe7e09d6ac2bf8.pdf |
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| Summary: | Let = be a non-negative matrix. Denote by the supremum of those , satisfying the following inequality:
where , , and also is increasing, non-negative sequence of real numbers. If we used instead of The purpose of this paper is to establish a Hardy type formula for , where is Hausdorff matrix and A similar result is also established for where In particular, we apply our results to the Cesaro matrices, Holder matrices and Gamma matrices. Our results also generalize some works due to R. Lashkaripour and D. Foroutannia [6]. Moreover, in this study we extend some results mentioned in [3] and [4]. |
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| ISSN: | 1016-1104 2345-6914 |