Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling, Abakumov Evgeny, Baranov Anton, Borichev Alexander

Автор: George M. Phillips
Название: Interpolation and Approximation by Polynomials
ISBN: 1441918108 ISBN-13(EAN): 9781441918109
Издательство: Springer
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Цена: 69830.00 T
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Описание: In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks.

Автор: Ern Alexandre, Guermond Jean-Luc
Название: Finite Elements I: Approximation and Interpolation
ISBN: 3030563405 ISBN-13(EAN): 9783030563400
Издательство: Springer
Цена: 46570.00 T
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Описание: To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance scientific literacy.Volume I is divided into 23 chapters plus two appendices on Banach and Hilbert spaces and on differential calculus.

Автор: I. Gohberg
Название: Topics in Interpolation Theory of Rational Matrix-valued Functions
ISBN: 3034854714 ISBN-13(EAN): 9783034854719
Издательство: Springer
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Описание: If one assurnes that the function does not have a pole or a zero at infinity, the formula which solves this problem is (1) where Zl , " " Z/ are the given zeros with given multiplicates nl, " " n / and Wb" " W are the given p poles with given multiplicities ml, .

Автор: Daniel Alpay; Bernd Kirstein
Название: Interpolation, Schur Functions and Moment Problems II
ISBN: 3034807422 ISBN-13(EAN): 9783034807425
Издательство: Springer
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Цена: 93160.00 T
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Описание: The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk.

Автор: Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, Alan A. Sola
Название: Recent Progress on Operator Theory and Approximation in Spaces of Analytic Functions
ISBN: 1470423057 ISBN-13(EAN): 9781470423056
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
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Описание: Contains the Proceedings of the Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, held in June 2015. This volume contains articles covering cutting-edge research questions, as well as longer survey papers and a report on the problem session that contains a collection of attractive open problems in complex and harmonic analysis.

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.