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检索条件"主题词=Thresholding greedy algorithm"
29 条 记 录,以下是1-10 订阅
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The thresholding greedy algorithm versus approximations with sizes bounded by certain functions f
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2024年 第2期539卷
作者: Chu, Hung Viet Texas A&M Univ Dept Math College Stn TX 77843 USA
Let X be a Banach space and ( e n ) infinity n =1 be a basis. For a function f in a large collection F (closed under composition), we define and characterize f- greedy and f- almost greedy bases. We study relations am... 详细信息
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Lebesgue inequalities for Chebyshev thresholding greedy algorithms
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REVISTA MATEMATICA COMPLUTENSE 2020年 第3期33卷 695-722页
作者: Berna, P. M. Blasco, O. Garrigos, G. Hernandez, E. Oikhberg, T. Univ Autonoma Madrid Dept Matemat Madrid 28049 Spain Univ Valencia Dept Anal Matemat Campus Burjassot Valencia 46100 Spain Univ Murcia Dept Matemat Murcia 30100 Spain Univ Illinois Dept Math Urbana IL 61807 USA
We establish estimates for the Lebesgue parameters of the Chebyshev weak thresholding greedy algorithm in the case of general bases in Banach spaces. These generalize and slightly improve earlier results in Dilworth e... 详细信息
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Twenty-five years of greedy bases
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JOURNAL OF APPROXIMATION THEORY 2025年 307卷
作者: Albiac, Fernando Ansorena, Jose L. Temlyakov, Vladimir Univ Publ Navarra Dept Math Stat & Comp Sci InaMat2 Campus Arrosadia Pamplona 31006 Spain Univ La Rioja Dept Math & Comp Sci Logrono 26004 Spain Univ South Carolina Dept Math Columbia SC 29208 USA Russian Acad Sci Steklov Math Inst Moscow Russia Lomonosov Moscow State Univ Moscow Russia Moscow Ctr Fundamental & Appl Math Moscow Russia
Although the basic idea behind the concept of a greedy basis had been around for some time, the formal development of a theory of greedy bases was initiated in 1999 with the publication of the article [S.V. Konyagin a... 详细信息
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On approximation spaces and greedy-type bases
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ANNALS OF FUNCTIONAL ANALYSIS 2025年 第1期16卷 1-39页
作者: Berna, Pablo M. Chu, Hung Viet Hernandez, Eugenio CUNEF Univ Dept Matemat Madrid 28040 Spain Texas A&M Univ Dept Math College Stn TX 77843 USA Univ Autonoma Madrid Dept Matemat Madrid 28049 Spain
The purpose of this paper is to introduce omega\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{u... 详细信息
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On consecutive greedy and other greedy-like type of bases
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RESEARCH IN THE MATHEMATICAL SCIENCES 2024年 第4期11卷 1-17页
作者: Berasategui, Miguel Berna, Pablo M. Chu, Hung Viet Univ Buenos Aires Fac Ciencias Exactas & Nat IMAS UBA CONICET Pab1 RA-1428 Buenos Aires Argentina CUNEF Univ Dept Metodos Cuantitat Madrid 28040 Spain Texas A&M Univ Dept Math College Stn TX 77843 USA
We continue our study of the thresholding greedy algorithm when we restrict the vectors involved in our approximations so that they either are supported on intervals of N\documentclass[12pt]{minimal} \usepackage{amsma... 详细信息
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Counterexamples in isometric theory of symmetric and greedy bases
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JOURNAL OF APPROXIMATION THEORY 2024年 297卷
作者: Albiac, Fernando Ansorena, Jose L. Blasco, Oscar Chu, Hung Viet Oikhberg, Timur Univ Publ Navarra Dept Math Stat & Comp Sci InaMat2 Campus Arrosadia Pamplona 31006 Spain Univ La Rioja Dept Math & Comp Sci Logrono 26004 Spain Univ Valencia Dept Math Anal Burjassot 46100 Spain Texas A&M Univ Dept Math College Stn TX 77843 USA Univ Illinois Dept Math Urbana IL 61820 USA
We continue the study initiated in Albiac and Wojtaszczyk (2006) of properties related to greedy bases in the case when the constants involved are sharp, i.e., in the case when they are equal to 1. Our main goal here ... 详细信息
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Schreier families and 9-(almost) greedy bases
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CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 2024年 第4期76卷 1379-1399页
作者: Beanland, Kevin Chu, Hung Viet Washington & Lee Univ Dept Math Lexington VA 24450 USA Univ Illinois Dept Math Urbana IL USA
Let $\mathcal {F}$ be a hereditary collection of finite subsets of $\mathbb {N}$ . In this paper, we introduce and characterize $\mathcal {F}$ -(almost) greedy bases. Given such a family $\mathcal {F}$ , a basis $(e_n... 详细信息
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Linear versus nonlinear forms of partial unconditionality of bases
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JOURNAL OF FUNCTIONAL ANALYSIS 2024年 第9期287卷
作者: Albiac, Fernando Ansorena, Jose L. Berasategui, Miguel Univ Publ Navarra Dept Math Stat Comp Sci InaMat2 Campus Arrosadia Pamplona 31006 Spain Univ La Rioja Dept Math & Comp Sci Logrono 26004 Spain Univ Buenos Aires IMAS UBA CONICET Pab 1 Fac Ciencias Exactas & Nat RA-1428 Buenos Aires Argentina
The main results in this paper contribute to bringing to the fore novel underlying connections between the contemporary concepts and methods springing from greedy approximation theory with the well-established techniq... 详细信息
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Existence of Almost greedy Bases in Mixed-Norm Sequence and Matrix Spaces, Including Besov Spaces
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CONSTRUCTIVE APPROXIMATION 2024年 第2期60卷 253-283页
作者: Albiac, Fernando Ansorena, Jose L. Bello, Glenier Wojtaszczyk, Przemyslaw Univ Publ Navarra Dept Math Stat & Comp Sci Pamplona 31006 Spain Univ Publ Navarra INAMAT2 Pamplona 31006 Spain Univ La Rioja Dept Math & Comp Sci Logrono 26004 Spain Univ Autonoma Madrid Dept Matemat Madrid 28049 Spain ICMAT CSIC UAM UC3M UCM Madrid 28049 Spain Polish Acad Sci Inst Math Ul Sniadeckich 8 PL-00656 Warsaw Poland
We prove that the sequence spaces l(p) circle plus l(q) and the spaces of infinite matrices l(p)(l(q)), l(q)(l(p)) and (circle plus(infinity)(n=1) l(p)(n))(lq), which are isomorphic to certain Besov spaces, have an al... 详细信息
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Bidemocratic Bases and Their Connections with Other greedy-Type Bases
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CONSTRUCTIVE APPROXIMATION 2023年 第1期57卷 125-160页
作者: Albiac, Fernando Ansorena, Jose L. Berasategui, Miguel Berna, Pablo M. Lassalle, Silvia Univ Publ Navarra Dept Math Stat & Comp Sci InaMat2 Campus Arrosadia Pamplona 31006 Spain Univ La Rioja Dept Math & Comp Sci Logrono 26004 Spain Univ Buenos Aires IMAS UBA CONICET Pab 1 Fac Ciencias Exactas & Nat RA-1428 Buenos Aires DF Argentina CUNEF Univ Dept Metodos Cuantitativos Madrid 28040 Spain Univ San Andres Dept Matemat Vito Duma 284 RA-1644 Buenos Aires DF Argentina IMAS CONICET Buenos Aires DF Argentina
In nonlinear greedy approximation theory, bidemocratic bases have traditionally played the role of dualizing democratic, greedy, quasi-greedy, or almost greedy bases. In this article we shift the viewpoint and study t... 详细信息
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