On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space

被引：0
作者：
M. R. Langarshoev
机构：
[1] Tajikistan National University,
来源：
Ukrainian Mathematical Journal | 2016年 / 67卷
关键词：
Banach Space; Hardy Space; Bergman Space; Linear Continuous Operator; Weighted Bergman Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We find the exact values of the series of n-widths for the classes of functions from the Hardy and Bergman spaces whose averaged moduli of continuity are majorized by a given function obeying certain restrictions.
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页码：1537 / 1551
页数：14
相关论文
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Shabozov MS(2009)Widths of some classes of functions analytic in the Hardy space Izv. Akad. Nauk Resp. Tadzhikistan. Otdel. Fiz.-Mat., Khim., Geol. Tekh. Nauk 3 7-23
[12]  
Shabozov OS(2010)Exact values of widths of the classes of functions analytic in a disk and the best linear approximation methods Mat. Sb. 201 3-22
[13]  
Vakarchuk SB(2013)On the best approximation of some classes of functions in a weighted Bergman space Dokl. Ros. Akad. Nauk 450 518-521
[14]  
Shabozov MS(2013)On the widths of classes of functions analytic in a disk Dokl. Akad. Nauk Resp. Tadzhikistan 56 869-876
[15]  
Langarshoev MR(2011)On the best linear methods and values of widths for some classes of functions in a weighted Bergman space Izv. Akad. Nauk Resp. Tadzhikistan. Otdel. Fiz.-Mat., Khim., Geol. Tekh. Nauk 2 53-62
[16]  
Vakarchuk SB(undefined)On the widths of some classes of functions analytic in a unit disk undefined undefined undefined-undefined
[17]  
Shabozov MS(undefined)On the best linear methods and the values of widths for some classes of functions analytic in a weighted Bergman space undefined undefined undefined-undefined
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Shabozov MS(undefined)undefined undefined undefined undefined-undefined
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Langarshoev MR(undefined)undefined undefined undefined undefined-undefined
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Yusupov GA(undefined)undefined undefined undefined undefined-undefined
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