New Sequence Spaces and Function Spaces on Interval [0,1]
We study the sequence spaces and the spaces of functions defined on interval 0,1 in this paper. By a new summation method of sequences, we find out some new sequence spaces that are interpolating into spaces between ℓp and ℓq and function spaces that are interpolating into the spaces between the pol...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2013/601490 |
Summary: | We study the sequence spaces and the spaces of functions defined on interval 0,1 in this paper. By a new summation method of sequences, we find out some new sequence spaces that are interpolating into spaces between ℓp and ℓq and function spaces that are interpolating into the spaces between the polynomial space P0,1 and C∞0,1. We prove that these spaces of sequences and functions are Banach spaces. |
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ISSN: | 0972-6802 1758-4965 |