New Sequence Spaces and Function Spaces on Interval

Cheng-Zhong Xu (1) , Gen-Qi Xu (2)

1 LAGEP - Laboratoire d'automatique et de génie des procédés
2 TJU - Tianjin University

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.

Mots clés: ACL

Domaines: Automatique; Automatique / Robotique; Génie des procédés; Analyse numérique [math.NA]

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⟩