New Sequence Spaces and Function Spaces on Interval

Abstract : We study the sequence spaces and the spaces of functions defined on interval in this paper. By a new summation method of sequences, we find out some new sequence spaces that are interpolating into spaces between and and function spaces that are interpolating into the spaces between the polynomial space and . We prove that these spaces of sequences and functions are Banach spaces.
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https://hal.archives-ouvertes.fr/hal-01923338
Contributeur : Olivier Garrigues <>
Soumis le : jeudi 15 novembre 2018 - 11:02:51
Dernière modification le : jeudi 7 février 2019 - 16:42:58

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Cheng-Zhong Xu, Gen-Qi Xu. New Sequence Spaces and Function Spaces on Interval. Journal of Function Spaces and Applications, 2013, 2013, 〈10.1155/2013/601490〉. 〈hal-01923338〉

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