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130626  eng 
020 


a 9781461405894

100 
1 

a Anastassiou, George A.

245 
0 
0 
a Approximation by Multivariate Singular Integrals
h Elektronische Ressource
c by George A. Anastassiou

250 


a 1st ed. 2011

260 


a New York, NY
b Springer New York
c 2011, 2011

300 


a X, 79 p
b online resource

653 


a Distribution (Probability theory

653 


a Differential equations, partial

653 


a Probability Theory and Stochastic Processes

653 


a Integral Transforms

653 


a Partial Differential Equations

653 


a Integral Transforms, Operational Calculus

710 
2 

a SpringerLink (Online service)

041 
0 
7 
a eng
2 ISO 6392

989 


b Springer
a Springer eBooks 2005

490 
0 

a SpringerBriefs in Mathematics

856 


u https://doi.org/10.1007/9781461405894?nosfx=y
x Verlag
3 Volltext

082 
0 

a 515.72

520 


a Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identityunit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, GaussWeierstrass, PoissonCauchy 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
