Полное описание

Anastassiou, G. A. Approximation by Multivariate Singular Integrals / by George A. Anastassiou. - Electronic text data. - New York, NY : Springer, 2011. - (SpringerBriefs in Mathematics, ISSN 2191-8198). - URL: http://dx.doi.org/10.1007/978-1-4614-0589-4. - Загл. с экрана. - ISBN 978-1-4614-0589-4. - DOI 10.1007/978-1-4614-0589-4. - Текст : электронный.

ГРНТИ	УДК
27.23.17	517.3
83

Рубрики:
mathematics
integral transforms
operational calculus
partial differential equations
probabilities
mathematics
integral Transforms, Operational Calculus
partial Differential Equations
probability Theory and Stochastic Processes

Аннотация: 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.

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