New Perspectives on Approximation and Sampling Theory, Ahmed I. Zayed; Gerhard Schmeisser

Автор: Trefethen
Название: Approximation Theory and Approximation Practice
ISBN: 1611972396 ISBN-13(EAN): 9781611972399
Издательство: Mare Nostrum (Eurospan)
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Цена: 55440.00 T
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Описание: In a book that will appeal to beginners and experts alike, Oxford University’s Nick Trefethen presents approximation theory using a fresh approach for this established field.Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory for the twenty-first century. It uses MATLAB? to teach the field’s most important ideas and results and differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable Matlab M-file, available online.In addition, the book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment.Each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Автор: George A. Anastassiou; Oktay Duman
Название: Advances in Applied Mathematics and Approximation Theory
ISBN: 148999744X ISBN-13(EAN): 9781489997449
Издательство: Springer
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Цена: 111790.00 T
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Описание: Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at "Applied Mathematics and Approximation Theory 2012," an international conference held in Ankara, Turkey, May 17-20, 2012.

Автор: Feng Dai; Yuan Xu
Название: Approximation Theory and Harmonic Analysis on Spheres and Balls
ISBN: 1493901311 ISBN-13(EAN): 9781493901319
Издательство: Springer
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Цена: 102480.00 T
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Описание: Presenting current results on analysis in weight spaces with reflection invariant weight functions, and analysis on balls and simplexes, this book covers distribution of points on the sphere, the reconstruction algorithm in computerized tomography and more.

Автор: Gradimir V. Milovanovi?; Michael Th. Rassias
Название: Analytic Number Theory, Approximation Theory, and Special Functions
ISBN: 1493945386 ISBN-13(EAN): 9781493945382
Издательство: Springer
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Цена: 153720.00 T
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Описание: Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials.- The mean values of the Riemann Zeta function on the critical line (A. Ivic).- Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani).- On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto).- Multiple Gamma functions and their applications (J. Choi).- On partition functions of hyperbolic three-geometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde).- Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek).- Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana).- Identities for reciprocal binomials (A. Sofo).- A note on q-Stirling numbers (M. Merca).- Part II. Analytic Inequalities and Applications.- A survey on Cauchy-Bunyakovsky-Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir).- Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang).- Completely monotone functions-a digest (M. Merkle).- New applications of superquadracity (S. Abramovich).- Green's operator and differential forms (S. Ding, Y. Xing).- Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang).- The function (bx-ax)/x: Ratio's properties (F. Qi, Q.-M. Luo, B.-N. Guo).- On the approximation and bounds of the Gini mean difference (P. Cerone).- On parametric nonconvex variational inequalities (M.A. Noor).- Part III. Approximation of Functions and Quadratures.- Simultaneous approximation for Stancu type generalization of certain summation-integral typfe operators (N.K. Govil, V. Gupta).- Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine).- Reflections on the Baker-Gammel-Wills (Padй) conjecture (D.S. Lubinsky).- Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanovic, K.M. Shadimetov).- Numerical integration of highly oscillating functions (G.V. Milovanovic, M.P. Stanic).- Part IV. Orthogonality, Transformations and Applications.- Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. Lуpez, E.P. Sinusнa).- On a direct Uvarov-Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellбn).- On special cases of Boas-Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich).- Goursat's hypergeometric transformations, revisited (P.W. Karlsson).- Convolutions product and differential and integro-differential equations (A. Kiliзman).- Orthogonally additive-additive functional equation (C. Park).- Part V. Special and Complex Functions and Applications.- Alternating Mathieu series, Hilbert-Eisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogбny).- Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogбny).- Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz).- Poincarй α-series for classical Schottky groups (V.V. Mityushev).- Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho).- A journey from Gross-problem to Fujimoto-condition (I. Lahiri, A Banerjee).- Index.

Автор: Ahmed I. Zayed; Gerhard Schmeisser
Название: New Perspectives on Approximation and Sampling Theory
ISBN: 3319343998 ISBN-13(EAN): 9783319343990
Издательство: Springer
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Цена: 88500.00 T
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Описание:

Abstract Exact and Approximate Sampling Theorems.- Sampling in Reproducing Kernel Hilbert Space.- Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds.- On Window Methods in Generalized Shannon Sampling Operators.- Generalized sampling approximation for multivariate discontinuous signals and applications to image processing.- Signal and System Approximation from General Measurements.- Confirmation PROCESS.- Sparse Signal Processing.- Signal Sampling and Testing Under Noise.- Superoscillations.- General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators.- Variation and approximation in multidimensional setting for Mellin integral operators.- The Lebesgue Constant for Sinc Approximations.- Six (Seven) problems in frame theory.- Five good reasons for complex-valued transforms in image processing.- Frequency Determination Using the Discrete Hermite Transform.- Fractional Operators, Dirichlet Averages and Splines.- A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups.- On a discrete Turбn problem for l-1 radial functions.

Автор: Gregory E. Fasshauer; Larry L. Schumaker
Название: Approximation Theory XIV: San Antonio 2013
ISBN: 3319064037 ISBN-13(EAN): 9783319064031
Издательство: Springer
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Цена: 167700.00 T
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Описание: These proceedings were prepared in connection with the 14th International Conference on Approximation Theory, which was held April 7-10, 2013 in San Antonio, Texas.

Автор: Gregory E. Fasshauer; Larry L. Schumaker
Название: Approximation Theory XV: San Antonio 2016
ISBN: 3319599119 ISBN-13(EAN): 9783319599113
Издательство: Springer
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Цена: 149060.00 T
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Описание:

These proceedings are based on papers presented at the international conference Approximation Theory XV, which was held May 22-25, 2016 in San Antonio, Texas. The conference was the fifteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 146 participants. The book contains longer survey papers by some of the invited speakers covering topics such as compressive sensing, isogeometric analysis, and scaling limits of polynomials and entire functions of exponential type.

The book also includes papers on a variety of current topics in Approximation Theory drawn from areas such as advances in kernel approximation with applications, approximation theory and algebraic geometry, multivariate splines for applications, practical function approximation, approximation of PDEs, wavelets and framelets with applications, approximation theory in signal processing, compressive sensing, rational interpolation, spline approximation in isogeometric analysis, approximation of fractional differential equations, numerical integration formulas, and trigonometric polynomial approximation.

Автор: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431562133 ISBN-13(EAN): 9784431562139
Издательство: Springer
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Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.

Автор: Philippe G. Ciarlet; Tatsien Li; Yvon Maday
Название: Partial Differential Equations: Theory, Control and Approximation
ISBN: 3662514346 ISBN-13(EAN): 9783662514344
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book collects papers mainly presented at the "International Conference on Partial Differential Equations: Theory, Control and Approximation" (May 28 to June 1, 2012 in Shanghai) in honor of the scientific legacy of the exceptional mathematician Jacques-Louis Lions.

Автор: Gregory E. Fasshauer; Larry L. Schumaker
Название: Approximation Theory XIV: San Antonio 2013
ISBN: 3319346946 ISBN-13(EAN): 9783319346946
Издательство: Springer
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Цена: 111790.00 T
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Описание: These proceedings were prepared in connection with the 14th International Conference on Approximation Theory, which was held April 7-10, 2013 in San Antonio, Texas.

Автор: S. Machado
Название: Functional Analysis, Holomorphy, and Approximation Theory
ISBN: 3540105603 ISBN-13(EAN): 9783540105602
Издательство: Springer
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Цена: 46540.00 T
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Автор: Irena Lasiecka; Roberto Triggiani
Название: Differential and Algebraic Riccati Equations with Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory
ISBN: 3540543392 ISBN-13(EAN): 9783540543398
Издательство: Springer
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Цена: 95770.00 T
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Описание: This book provides, in a unified framework, an updated andrather comprehensive treatment contered on the theory of ot-pimal control with quadratic cost functional for abstractlinear systems with application to boundary/point controlproblems for partial differential equations (distributed pa-rameter systems).