標題: Titlebook: Geometric Approximation Theory; Alexey R. Alimov,Igor’ G. Tsar’kov Book 2021 The Editor(s) (if applicable) and The Author(s), under exclus [打印本頁] 作者: architect 時間: 2025-3-21 20:01
書目名稱Geometric Approximation Theory影響因子(影響力)
書目名稱Geometric Approximation Theory影響因子(影響力)學科排名
書目名稱Geometric Approximation Theory網(wǎng)絡公開度
書目名稱Geometric Approximation Theory網(wǎng)絡公開度學科排名
書目名稱Geometric Approximation Theory被引頻次
書目名稱Geometric Approximation Theory被引頻次學科排名
書目名稱Geometric Approximation Theory年度引用
書目名稱Geometric Approximation Theory年度引用學科排名
書目名稱Geometric Approximation Theory讀者反饋
書目名稱Geometric Approximation Theory讀者反饋學科排名
作者: adipose-tissue 時間: 2025-3-21 21:51 作者: Electrolysis 時間: 2025-3-22 04:25
Book 2021ry including uniqueness, stability, and existence of elements of best approximation. It presents a number of fundamental results for both these and related problems, many of which appear for the first time in monograph form. The text also discusses the interrelations between main objects of geometri作者: Brain-Imaging 時間: 2025-3-22 06:07
1439-7382 monograph provides a comprehensive introduction to the classical geometric approximation theory, emphasizing important themes related to the theory including uniqueness, stability, and existence of elements of best approximation. It presents a number of fundamental results for both these and related作者: 絕種 時間: 2025-3-22 11:07
Discursive Approaches to Language Policyonditions, we mention de la Vallée Poussin’s estimates (see Sect.?.), the Haar characterization property (see?Sect.?.), and Mairhuber’s theorem (see Sect.?.), which characterizes the metrizable compact sets?. such that the space .(.) contains nontrivial finite-dimensional Chebyshev subspaces.作者: apropos 時間: 2025-3-22 16:22
ar cones, are discussed in Sect.?.. The alternation theorem for Haar cones is given in?Sect.?.. Next in ., we discuss the property of varisolvency, which is a?generalization of the classical Haar condition.作者: apropos 時間: 2025-3-22 18:44
Comparative Epidemiology Experiment: Brazil,ters. In particular, this problem includes the classical Bernstein’s problem of approximation of an element by a?fixed family of nested planes or the generalization of this problem to rational approximations by a?family of rational functions.作者: Rinne-Test 時間: 2025-3-22 23:34 作者: Carbon-Monoxide 時間: 2025-3-23 01:45 作者: nuclear-tests 時間: 2025-3-23 06:23
,Width. Approximation by a?Family of Sets,ters. In particular, this problem includes the classical Bernstein’s problem of approximation of an element by a?fixed family of nested planes or the generalization of this problem to rational approximations by a?family of rational functions.作者: faddish 時間: 2025-3-23 11:37 作者: 彩色的蠟筆 時間: 2025-3-23 16:00
Ryan Evely Gildersleeve,Katie Kleinhesselinkpproximative properties of sets are derived from their structural characteristics and put forward converse theorems in which from approximative characteristics of sets one derives their structural properties.作者: trigger 時間: 2025-3-23 20:33 作者: 歌劇等 時間: 2025-3-24 01:20
Connectedness and Approximative Properties of Sets. Stability of the Metric Projection and Its Relapproximative properties of sets are derived from their structural characteristics and put forward converse theorems in which from approximative characteristics of sets one derives their structural properties.作者: Allowance 時間: 2025-3-24 03:11
Alexey R. Alimov,Igor’ G. Tsar’kovPresents novel results in monograph form.Funded by the Russian Foundation for Basic Research.Suitable for researchers and postgraduates作者: negligence 時間: 2025-3-24 09:15
Esoh Elamé,Ruben Bassani,Emanuela StefaniAn existence set is always closed and nonempty. Indeed, if a?cluster point of an existence set?. were not contained in?., then this point would clearly fail to have a?nearest point in?.. The converse assertion clearly holds in every finite-dimensional space?.: every nonempty closed subset of a?finite-dimensional normed space is an existence set.作者: Memorial 時間: 2025-3-24 14:14
https://doi.org/10.1057/9781137495785In this chapter, we will consider the properties of the best approximants that distinguish it from other best approximants of an approximating set. Much emphasis will be placed on characterization properties of such approximants, from which algorithms for construction of elements of best approximation can be derived.作者: MITE 時間: 2025-3-24 16:55
Dawn A. Marcus MD,Duren Michael Ready MDIn this chapter, we consider the class of Efimov–Stechkin spaces (reflexive spaces with the Kadec–Klee property). This class is a?natural class of spaces in which sets with ‘good structure’ have ‘many’ points of approximative compactness (points of stability of the metric projection operator).作者: 樂意 時間: 2025-3-24 20:16
Introduction to Infectious Diseases,The Jung constant appears in many problems in various fields of mathematics. In the present chapter, we will give examples of such problems and present the available exact values of the Jung constant for several classical spaces.作者: exclamation 時間: 2025-3-25 01:39
Main Notation, Definitions, Auxiliary Results, and Examples,An existence set is always closed and nonempty. Indeed, if a?cluster point of an existence set?. were not contained in?., then this point would clearly fail to have a?nearest point in?.. The converse assertion clearly holds in every finite-dimensional space?.: every nonempty closed subset of a?finite-dimensional normed space is an existence set.作者: Obituary 時間: 2025-3-25 05:32 作者: 熔巖 時間: 2025-3-25 08:32 作者: MULTI 時間: 2025-3-25 15:15
The Jung Constant,The Jung constant appears in many problems in various fields of mathematics. In the present chapter, we will give examples of such problems and present the available exact values of the Jung constant for several classical spaces.作者: metropolitan 時間: 2025-3-25 18:31
978-3-030-90953-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl作者: Impugn 時間: 2025-3-25 23:20 作者: Feedback 時間: 2025-3-26 00:20 作者: browbeat 時間: 2025-3-26 05:28
https://doi.org/10.1007/978-981-19-4097-2owing fact important for applications: in corresponding spaces, a?nonconvex set cannot be a?Chebyshev set. As a?corollary, at some point either the existence or the uniqueness property is not satisfied. Results of this kind can be useful in solving extremal problems.作者: 嬰兒 時間: 2025-3-26 11:38 作者: 斑駁 時間: 2025-3-26 15:10
Ulrike Tikvah Kissmann,Joost‘van Loonr to show that a?Chebyshev set is convex, it suffices to prove its ‘solarity’ (in some sense or other) and then employ Theorem?. on the convexity of suns in smooth spaces (of course if the corresponding space is smooth).作者: 賠償 時間: 2025-3-26 18:43
https://doi.org/10.1007/978-1-4842-3267-5al-valued functions, approximation by Chebyshev subspaces was found to be closely related to various problems in interpolation, uniqueness, and the number of zeros in nontrivial polynomials (the generalized Haar property). For vector-valued functions, the relation between such properties turned out to be less simple.作者: cuticle 時間: 2025-3-26 21:54 作者: Painstaking 時間: 2025-3-27 02:04
https://doi.org/10.1007/978-3-030-34702-4ple, of approximation by rational fractions, splines with free knots, and exponential sums (see Sect.?. and Chap.?.). For such sets?., approximative properties of existence, uniqueness, and approximative compactness are of special importance.作者: 厭惡 時間: 2025-3-27 08:24 作者: 要素 時間: 2025-3-27 13:21
Convexity of Chebyshev Sets and Suns,owing fact important for applications: in corresponding spaces, a?nonconvex set cannot be a?Chebyshev set. As a?corollary, at some point either the existence or the uniqueness property is not satisfied. Results of this kind can be useful in solving extremal problems.作者: Phonophobia 時間: 2025-3-27 15:38 作者: 溫和女孩 時間: 2025-3-27 19:12 作者: ALERT 時間: 2025-3-27 23:33
Approximation of Vector-Valued Functions,al-valued functions, approximation by Chebyshev subspaces was found to be closely related to various problems in interpolation, uniqueness, and the number of zeros in nontrivial polynomials (the generalized Haar property). For vector-valued functions, the relation between such properties turned out to be less simple.作者: BLAZE 時間: 2025-3-28 04:02
Chebyshev Centre of a Set. The Problem of Simultaneous Approximation of a Class by a Singleton Set,ce. In this chapter, we consider the problem of approximating a?set by a?class of sets. In this problem, it is not only the evaluation of the approximation that is important, but also the?set that best approximates this class (an optimal set).作者: Dictation 時間: 2025-3-28 07:24
Approximative Properties of Arbitrary Sets in Normed Linear Spaces. Almost Chebyshev Sets and Sets ple, of approximation by rational fractions, splines with free knots, and exponential sums (see Sect.?. and Chap.?.). For such sets?., approximative properties of existence, uniqueness, and approximative compactness are of special importance.作者: epicardium 時間: 2025-3-28 11:25 作者: 領(lǐng)先 時間: 2025-3-28 16:44
Discursive Approaches to Language Policyes .(.), we give several results that either characterize or give sufficient conditions for the existence of Chebyshev subspaces in?.(.). Among such conditions, we mention de la Vallée Poussin’s estimates (see Sect.?.), the Haar characterization property (see?Sect.?.), and Mairhuber’s theorem (see S作者: PANT 時間: 2025-3-28 18:54
https://doi.org/10.1007/978-3-030-55038-7of a?finite-dimensional subspace (or a?convex set). We present two fundamental results on approximation by convex sets in the inner-product setting?—?the Kolmogorov criterion of best approximation and Phelps’s criterion for convexity of a?Chebyshev set in a?Euclidean space in terms of the Lipschitz 作者: 闡釋 時間: 2025-3-28 23:28 作者: 諂媚于人 時間: 2025-3-29 06:05
https://doi.org/10.1007/978-981-19-4097-2owing fact important for applications: in corresponding spaces, a?nonconvex set cannot be a?Chebyshev set. As a?corollary, at some point either the existence or the uniqueness property is not satisfied. Results of this kind can be useful in solving extremal problems.作者: Diuretic 時間: 2025-3-29 08:48
Ryan Evely Gildersleeve,Katie Kleinhesselink uniqueness sets, and so?on). By structural characteristics of sets one usually understands properties of linearity, finite-dimensionality, convexity, connectedness of various kinds, and smoothness of sets. From results of such kind one may derive necessary and sufficient conditions for a?set to hav作者: 嘲弄 時間: 2025-3-29 13:14
https://doi.org/10.1057/9781137487339pproximative properties of more general subspaces stems from consideration of Chebyshev (Haar) systems of functions that extend the classical Chebyshev system composed of polynomials of degree at most?. (see Chap.?2). Of course, every space?. contains trivial Chebyshev subspaces: . and ..作者: 網(wǎng)絡添麻煩 時間: 2025-3-29 18:37 作者: 收集 時間: 2025-3-29 22:14 作者: 過多 時間: 2025-3-30 02:39
frequently encountered in various extreme problems. Properties of Haar cones, as well as uniqueness and strong uniqueness of best approximation by Haar cones, are discussed in Sect.?.. The alternation theorem for Haar cones is given in?Sect.?.. Next in ., we discuss the property of varisolvency, wh作者: 分離 時間: 2025-3-30 04:36
https://doi.org/10.1007/978-1-4842-3267-5al-valued functions, approximation by Chebyshev subspaces was found to be closely related to various problems in interpolation, uniqueness, and the number of zeros in nontrivial polynomials (the generalized Haar property). For vector-valued functions, the relation between such properties turned out 作者: CRASS 時間: 2025-3-30 09:22
John Fry,Gerald Sandler,David Brooksce. In this chapter, we consider the problem of approximating a?set by a?class of sets. In this problem, it is not only the evaluation of the approximation that is important, but also the?set that best approximates this class (an optimal set).作者: 異教徒 時間: 2025-3-30 14:12
Comparative Epidemiology Experiment: Brazil,ple, classes of finite-dimensional subspaces (nested or not nested), classes of nonlinear objects defined by a?certain parameter or by a?set of parameters. In particular, this problem includes the classical Bernstein’s problem of approximation of an element by a?fixed family of nested planes or the 作者: ILEUM 時間: 2025-3-30 18:03 作者: Mosaic 時間: 2025-3-31 00:13
1439-7382 ts and related problems, presenting novel results throughout the section. This text is suitable for both theoretical and applied viewpoints and e978-3-030-90953-6978-3-030-90951-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 作者: precede 時間: 2025-3-31 03:00 作者: Ruptured-Disk 時間: 2025-3-31 06:26
,Chebyshev Alternation Theorem. Haar’s and Mairhuber’s Theorems,es .(.), we give several results that either characterize or give sufficient conditions for the existence of Chebyshev subspaces in?.(.). Among such conditions, we mention de la Vallée Poussin’s estimates (see Sect.?.), the Haar characterization property (see?Sect.?.), and Mairhuber’s theorem (see S作者: Ossification 時間: 2025-3-31 12:31 作者: 混合物 時間: 2025-3-31 16:11
Existence. Compact, Boundedly Compact, Approximatively Compact, and ,-Compact Sets. Continuity of tcept of boundedly compact sets (an intersection of such a?set with a closed ball is compact). Further generalization of this concept gives rise to the important concept of approximative compactness (see Definition 4.2 below) introduced by Efimov and Stechkin in the 1950s. An approximatively compact
