A geometrical constant and normal normal structure in Banach Spaces
<p>Abstract</p> <p>Recently, we introduced a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus such as <it>J<sub>X</sub> </it>, <it> <sub>p</sub> </it>(<it>t</it>). In this paper, We...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/16 |
| Summary: | <p>Abstract</p> <p>Recently, we introduced a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus such as <it>J<sub>X</sub> </it>, <it> <sub>p</sub> </it>(<it>t</it>). In this paper, We can compute the constant <it>J<sub>X</sub> </it>, <it> <sub>p</sub> </it>(1) under the absolute normalized norms on ℝ<sup>2 </sup>by means of their corresponding continuous convex functions on [0, 1]. Moreover, some sufficient conditions which imply uniform normal structure are presented.</p> <p> <b>2000 Mathematics Subject Classification</b>: 46B20.</p> |
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| ISSN: | 1025-5834 1029-242X |