Note on weighted Carleman-type inequality.
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International Journal of Mathematics and Mathematical Sciences
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Chen, Chao-Ping, Cheung, Wing-Sum, Qi, Feng (2005)
International Journal of Mathematics and Mathematical Sciences
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International Journal of Mathematics and Mathematical Sciences
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Chen, Jinwen (2004)
International Journal of Mathematics and Mathematical Sciences
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In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index of -th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.