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008 110714s2011 xxu| s |||| 0|eng d
020 _a9781461405894
_9978-1-4614-0589-4
040 _cMX-MeUAM
050 4 _aQA307
050 4 _aQA432
082 0 4 _a515.72
_223
100 1 _aAnastassiou, George A.
_eauthor.
245 1 0 _aApproximation by Multivariate Singular Integrals
_h[recurso electrónico] /
_cby George A. Anastassiou.
264 1 _aNew York, NY :
_bSpringer New York,
_c2011.
300 _aX, 79p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Mathematics,
_x2191-8198
520 _aApproximation 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.
650 0 _aMathematics.
650 0 _aIntegral Transforms.
650 0 _aDifferential equations, partial.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aIntegral Transforms, Operational Calculus.
650 2 4 _aPartial Differential Equations.
650 2 4 _aProbability Theory and Stochastic Processes.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461405887
830 0 _aSpringerBriefs in Mathematics,
_x2191-8198
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4614-0589-4
596 _a19
942 _cLIBRO_ELEC
999 _c200317
_d200317