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A Characterization of Uniform Rotundity in Every Direction in Terms of Rough Convergence |
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| Authors: | M C Listán-García F Rambla-Barreno |
| Institution: | 1. Departamento de Matemáticas , Universidad de Cádiz , Puerto Real (Cádiz), Spain mariadelcarmen.listan@uca.es;3. Departamento de Matemáticas , Universidad de Cádiz , Puerto Real (Cádiz), Spain |
| Abstract: | We characterize uniform rotundity in every direction by means of rough convergence. This characterization still holds if we shift to rough statistical convergence. We also study the latter convergence in normed spaces. |
| Keywords: | Rough convergence Statistical convergence Uniform rotundity |