Midpoint Locally k-Uniformly Convexity and Midpoint Locally #br#
k-Uniformly Smoothness in Locally Convex Spaces

CHEN Liguo; LUO Cheng; WANG Jun

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Midpoint Locally k-Uniformly Convexity and Midpoint Locally #br# k-Uniformly Smoothness in Locally Convex Spaces

更新时间：2023-12-11

- Midpoint Locally k-Uniformly Convexity and Midpoint Locally #br# k-Uniformly Smoothness in Locally Convex Spaces
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 52, Issue 2, Pages: 52-56(2013)
- 作者机构：
  
  1. 内蒙古财经大学统计与数学学院,内蒙古,呼和浩特,010070
  2. 内蒙古大学数学科学学院,内蒙古,呼和浩特,010021
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013，
  
  Published Online：25 March 2013，
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CHEN Liguo, LUO Cheng, WANG Jun. Midpoint Locally k-Uniformly Convexity and Midpoint Locally #br# k-Uniformly Smoothness in Locally Convex Spaces. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(2):52-56(2013)
DOI：

CHEN Liguo, LUO Cheng, WANG Jun. Midpoint Locally k-Uniformly Convexity and Midpoint Locally #br# k-Uniformly Smoothness in Locally Convex Spaces. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(2):52-56(2013) DOI：

摘要

引入局部凸空间的中点局部

一致凸性和中点局部

一致光滑性这一对对偶概念

它们既是Banach空间中点局部

一致凸性和中点局部

一致光滑性推广

又是局部凸空间中点局部一致凸性和中点局部一致光滑性的自然推广。讨论它们与其它

凸性(

光滑性)之间的关系。

Abstract

The dual notions of midpoint locally

uniformly convexity and midpoint locally

uniformly smooth on Locally Convex Spaces are introduced

which are generalizations of both midpoint locally

uniformly convexity (midpoint locally

uniformly smoothness) in Banach spaces and midpoint locally uniformly convexity (midpoint locally uniformly smoothness) in locally convex spaces. The relationship between them and the other convexity (smoothness) are discussed.

关键词

偶对中点局部k一致凸性中点局部k一致光滑性弱中点局部k一致凸性弱中点局部k一致光滑性

Keywords

dualmidpoint locallyk-uniformly convexitymidpoint locallyk-uniformly smoothnessweakly midpoint locallyk-uniformly convexityweakly midpoint locallyk-uniformly smoothness

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