On Generalized Fractional Order Difference Sequence Spaces Defined by a Sequence of Modulus Functions
Sakr, Hanan; Nashat Faried; , Mohamed S. S. Ali;
Abstract
In this paper, we introduce new generalized fractional order difference sequence spaces which are defined by a sequence
of modulus functions. Different algebraic and topological properties of these spaces like linearity, completeness and solidity ... etc has been studied. Furthermore, we derive necessary and sufficient conditions for the inclusion relations involving these spaces.
of modulus functions. Different algebraic and topological properties of these spaces like linearity, completeness and solidity ... etc has been studied. Furthermore, we derive necessary and sufficient conditions for the inclusion relations involving these spaces.
Other data
| Title | On Generalized Fractional Order Difference Sequence Spaces Defined by a Sequence of Modulus Functions | Authors | Sakr, Hanan ; Nashat Faried ; , Mohamed S. S. Ali | Keywords | Fractional order difference operator, Modulus function, Paranorm, Sequence space, Solid space. | Issue Date | 2017 | Publisher | Mathematical Sciences Letters | Journal | Mathematical Sciences Letters |
Attached Files
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| MSL_final_On GFODSS.pdf | 216.08 kB | Adobe PDF | Request a copy |
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