| 徐庆华,刘太顺,刘小松.关于一类近于准凸映照推广族齐次展开式的精确估计[J].数学年刊A辑,2012,33(3):297~310 |
| 关于一类近于准凸映照推广族齐次展开式的精确估计 |
| Sharp Estimates of Homogeneous Expansions for the Generalized Class of Close-to-Quasi-convex Mappings |
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| DOI： |
| 中文关键词: 齐次展开式 近于准凸映照 α次的β型近于准凸映照 |
| 英文关键词:Homogeneous expansion, Close-to-quasi-convex mapping, Close-
to-quasi-convex mapping of type β and order α |
| 基金项目:国家自然科学基金，江西省自然科学基金，浙江省自然科学基金，江西省教育厅基金 |
| Author Name | Affiliation | E-mail | | XU Qinghua | College of Mathematics and Information Science, Jiangxi Normal University,Nanchang 330022, china | xuqh@mail.ustc.edu.cn | | LIU Taishun | Department of Mathematics, Huzhou Teachers College, Huzhou 313000, Zhe-jiang, china | lts@ustc.edu.cn | | LIU Xiaosong | School of Mathematics and Computation Science, Zhanjiang Normal Univer-
sity, Zhanjiang 524048, Guangdong, china | liuxsgd@yahoo.com.cn |
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| 中文摘要: |
| 在Cn中的单位多圆柱上或复Banach空间的单位球上引入α次的β型近于准凸映照族,并建立了该族在Cn中的单位多圆柱上齐次展开式的精确估计,所得结果包含和推广了许多已知结论. |
| 英文摘要: |
| In this paper, the class of close-to-quasi-convex mappings of type and order
is introduced in the unit ball of complex Banach space or the unit polydisk in Cn, and
the sharp estimates of homogeneous expansions for this class on the unit polydisk in Cn are
obtained. These results generalize many known results. |
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