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Cover: 9783540506270 | Constructive Approximation | George G. Lorentz | Buch | x | Englisch
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Constructive Approximation
Buch von George G. Lorentz
Sprache: Englisch

100,95 €*

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Beschreibung
Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolation of operators. Other topics include Weierstrauss and best approximation theorems, properties of polynomials and splines. It contains history and proofs with an emphasis on principal results.
Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolation of operators. Other topics include Weierstrauss and best approximation theorems, properties of polynomials and splines. It contains history and proofs with an emphasis on principal results.
Zusammenfassung
The book describes function spaces used in approximation, the needed functional analytic tools. It develops basic properties of polynomials, splines, linear operators that are used for approximation (and interpolation). The book takes the reader up to and into the recent great advances of Approximation Theory and emphasizes good proofs, logical selection of material, avoidance of superfluous details.
Inhaltsverzeichnis
1. Theorems of Weierstrass.- 2. Spaces of Functions.- 3. Best Approximation.- 4. Properties of Polynomials.- 5. Splines.- 6. K-Functionals and Interpolation Spaces.- 7. Central Theorems of Approximation.- 8. Influence of Endpoints in Polynomial Approximation.- 9. Approximation by Operators.- 10. Bernstein Polynomials.- 11. Approximation of Classes of Functions, Müntz Theorems.- 12. Spline Approximation.- 13. Spline Interpolation and Projections onto Spline Spaces.
Details
Erscheinungsjahr: 1993
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: x
452 S.
ISBN-13: 9783540506270
ISBN-10: 3540506276
Sprache: Englisch
Einband: Gebunden
Autor: Lorentz, George G.
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 245 x 165 x 33 mm
Von/Mit: George G. Lorentz
Erscheinungsdatum: 04.11.1993
Gewicht: 0,817 kg
Artikel-ID: 102246015
Zusammenfassung
The book describes function spaces used in approximation, the needed functional analytic tools. It develops basic properties of polynomials, splines, linear operators that are used for approximation (and interpolation). The book takes the reader up to and into the recent great advances of Approximation Theory and emphasizes good proofs, logical selection of material, avoidance of superfluous details.
Inhaltsverzeichnis
1. Theorems of Weierstrass.- 2. Spaces of Functions.- 3. Best Approximation.- 4. Properties of Polynomials.- 5. Splines.- 6. K-Functionals and Interpolation Spaces.- 7. Central Theorems of Approximation.- 8. Influence of Endpoints in Polynomial Approximation.- 9. Approximation by Operators.- 10. Bernstein Polynomials.- 11. Approximation of Classes of Functions, Müntz Theorems.- 12. Spline Approximation.- 13. Spline Interpolation and Projections onto Spline Spaces.
Details
Erscheinungsjahr: 1993
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: x
452 S.
ISBN-13: 9783540506270
ISBN-10: 3540506276
Sprache: Englisch
Einband: Gebunden
Autor: Lorentz, George G.
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 245 x 165 x 33 mm
Von/Mit: George G. Lorentz
Erscheinungsdatum: 04.11.1993
Gewicht: 0,817 kg
Artikel-ID: 102246015
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