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Cubierta del libro
Autor Anastassiou, George A. author.

Título Approximation by Multivariate Singular Integrals [electronic resource] / by George A. Anastassiou.

Publicación New York, NY : Springer New York, 2011.
Descripción física X, 79 p. online resource.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Colección SpringerBriefs in Mathematics, 2191-8198
SpringerBriefs in Mathematics, 2191-8198
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Springer eBooks. Mathematics and Statistics
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Resumen: 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.
Materia Mathematics.
Integral transforms.
Operational calculus.
Partial differential equations.
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Integral Transforms, Operational Calculus.
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Partial Differential Equations.
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Probability Theory and Stochastic Processes.
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En Springer eBooks
OTRO SOPORTE Printed edition: 9781461405887
ISBN 9781461405894 978-1-4614-0589-4
ISBN/ISSN 10.1007/978-1-4614-0589-4 doi