Geometric Approximation Theory - Alimov, Alexey R.; Tsar?kov, Igor? G.; - Prospero Internetes Könyváruház

 
A termék adatai:

ISBN13:9783030909536
ISBN10:30309095311
Kötéstípus:Puhakötés
Terjedelem:508 oldal
Méret:235x155 mm
Súly:807 g
Nyelv:angol
Illusztrációk: 21 Illustrations, black & white
533
Témakör:

Geometric Approximation Theory

 
Kiadás sorszáma: 1st ed. 2021
Kiadó: Springer
Megjelenés dátuma:
Kötetek száma: 1 pieces, Book
 
Normál ár:

Kiadói listaár:
EUR 160.49
Becsült forint ár:
69 765 Ft (66 442 Ft + 5% áfa)
Miért becsült?
 
Az Ön ára:

55 811 (53 154 Ft + 5% áfa )
Kedvezmény(ek): 20% (kb. 13 953 Ft)
A kedvezmény érvényes eddig: 2024. december 31.
A kedvezmény csak az 'Értesítés a kedvenc témákról' hírlevelünk címzettjeinek rendeléseire érvényes.
Kattintson ide a feliratkozáshoz
 
Beszerezhetőség:

Becsült beszerzési idő: A Prosperónál jelenleg nincsen raktáron, de a kiadónál igen. Beszerzés kb. 3-5 hét..
A Prosperónál jelenleg nincsen raktáron.
Nem tudnak pontosabbat?
 
  példányt

 
Rövid leírás:

This 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 problems, many of which appear for the first time in monograph form. The text also discusses the interrelations between main objects of geometric approximation theory, formulating a number of auxiliary problems for demonstration. Central ideas include the problems of existence and uniqueness of elements of best approximations as well as properties of sets including subspaces of polynomials and splines, classes of rational functions, and abstract subsets of normed linear spaces. The book begins with a brief introduction to geometric approximation theory, progressing through fundamental classical ideas and results as a basis for various approximation sets, suns, and Chebyshev systems. Itconcludes with a review of approximation by abstract sets and related problems, presenting novel results throughout the section. This text is suitable for both theoretical and applied viewpoints and especially researchers interested in advanced aspects of the field. 

Hosszú leírás:
This 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 problems, many of which appear for the first time in monograph form. The text also discusses the interrelations between main objects of geometric approximation theory, formulating a number of auxiliary problems for demonstration. Central ideas include the problems of existence and uniqueness of elements of best approximations as well as properties of sets including subspaces of polynomials and splines, classes of rational functions, and abstract subsets of normed linear spaces. The book begins with a brief introduction to geometric approximation theory, progressing through fundamental classical ideas and results as a basis for various approximation sets, suns, and Chebyshev systems. Itconcludes with a review of approximation by abstract sets and related problems, presenting novel results throughout the section. This text is suitable for both theoretical and applied viewpoints and especially researchers interested in advanced aspects of the field. 
Tartalomjegyzék:
Main notation, definitions, auxillary results, and examples.- Chebyshev alternation theorem, Haar and Mairhuber's theorems.- Best approximation in Euclidean spaces.- Existence and compactness.- Characterization of best approximation.- Convexity of Chebyshev sets and sums.- Connectedness and stability.- Existence of Chebyshev subspaces.- Efimov?Stechkin spaces. Uniform convexity and uniform smoothness. Uniqueness and strong uniqueness of best approximation in uniformly convex spaces.- Solarity of Chebyshev sets.- Rational approximation.- Haar cones and varisolvencity.- Approximation of vector-valued functions.- The Jung constant.- Chebyshev centre of a set.- Width. Approximation by a family of sets.- Approximative properties of arbitrary sets.- Chebyshev systems of functions in the spaces C, Cn, and Lp.- Radon, Helly, and Carathéodory theorems. Decomposition theorem.- Some open problems.- Index.