Approximation by Multivariate Singular Integrals

George A Anastassiou

ISBN 10: 1461405882 / ISBN 13: 9781461405887

Verlag: Springer New York, 2011

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation. The last chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables. Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations. This book is appropriate for researchers and selected seminars at the graduate level.

Bestandsnummer des Verkäufers 9781461405887

Bibliografische Details

• Titel: Approximation by Multivariate Singular Integrals
• Verlag: Springer New York
• Erscheinungsjahr: 2011
• Sprache: Englisch
• ISBN-10: 1461405882
• ISBN-13: 9781461405887
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 236B x 154 H x 15 T Millimeter Breite: 236 mm, Höhe: 154 mm, Tiefe: 15 mm
• Gewicht: 152 Gramm

Über diesen Titel

Inhaltsangabe

Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation. The last chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables. Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations. This book is appropriate for researchers and selected seminars at the graduate level.