Some Properties of Weighted Pseudo almost Periodic Functions | Zendy

Zhe-Ming Zheng | Zendy; Hui-Sheng Ding | Zendy; Gaston M. N’Guérékata | Zendy

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Some Properties of Weighted Pseudo almost Periodic Functions

Author(s) -

Zhe-Ming Zheng,

Hui-Sheng Ding,

Gaston M. N’Guérékata

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/327213

Subject(s) - mathematics , periodic function , almost periodic function , space (punctuation) , subspace topology , periodic sequence , pure mathematics , quasi periodic , mathematical analysis , philosophy , linguistics , physics , astrophysics

Several interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost periodic functions and weighted pseudo almost periodic functions; secondly, we prove that the space of asymptotically almost periodic functions is always a proper subspace of the space of weighted pseudo almost periodic functions; thirdly, we show that under some cases, the space of weighted pseudo almost periodic functions equals the classical space of pseudo almost periodic functions

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