Recent Progress on Operator Theory and Approximation in Spaces of Analytic Functions, Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, Alan A. Sola

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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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: Gradimir V. Milovanovi?; Michael Th. Rassias
Название: Analytic Number Theory, Approximation Theory, and Special Functions
ISBN: 1493902571 ISBN-13(EAN): 9781493902576
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Описание: Analytic Number Theory, Approximation Theory, and Special Functions

Автор: Daniel Alpay; Aad Dijksma; James Rovnyak; Hendrik
Название: Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
ISBN: 3034898231 ISBN-13(EAN): 9783034898232
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Описание: Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number of negative squares.

Автор: G. Bennett; J. Baker; C. Cleaver; S.Y. Chang; D.E.
Название: Banach Spaces of Analytic Functions.
ISBN: 3540083561 ISBN-13(EAN): 9783540083566
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Описание: With contributions by numerous experts

Автор: J.M. Danskin; S.M. Nikol`skii
Название: Approximation of Functions of Several Variables and Imbedding Theorems
ISBN: 3642657133 ISBN-13(EAN): 9783642657139
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Описание: This English translation of my book "PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya" is identical in content with the Rus- sian original, published by "Nauka" in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Dan- skin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to func- tions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, "Integral Represen- tations of Functions and Imbedding Theorems," by O. V. Besov, V. P. Il'in, and myself, has just (May 1975) been published, by the publishing house "Nauka," in Moscow. Moscow, U.S.S.R., May 1975 S. M. Nikol'skir Translator's Note I am very grateful to Professor Nikol'skir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikol'skir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable.

Автор: S.P. Singh; J.H.W. Burry; B. Watson
Название: Approximation Theory and Spline Functions
ISBN: 9027718180 ISBN-13(EAN): 9789027718181
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Описание: Proceedings of the NATO Advanced Study Institute, St. John`s, Newfoundland, Canada, August 22-September 2, 1983

Автор: Vakhtang Kokilashvili, Vakhtang Paatashvili
Название: Boundary Value Problems for Analytic & Harmonic Functions in Nonstandard Banach Function Spaces
ISBN: 1619423014 ISBN-13(EAN): 9781619423015
Издательство: Nova Science
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Описание: Suitbale for researchers in BVPs of function theory and mathematical physics, this title presents the boundary value problems (BVPs) for analytic and harmonic functions in domains with non-smooth boundaries within the framework of non-standard Banach function spaces, namely, variable exponent Lebesgue spaces and grand Lebesgue spaces.

Автор: Joseph A. Ball; Ra?l E. Curto; Sergei M. Grudsky;
Название: Recent Progress in Operator Theory and Its Applications
ISBN: 3034807589 ISBN-13(EAN): 9783034807586
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Автор: A.I. Stepanets
Название: Classification and Approximation of Periodic Functions
ISBN: 0792336038 ISBN-13(EAN): 9780792336037
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Описание: The chapters are split into sections, which, in turn, are split into subsections enumerated by two numbers: the first stands for the number of the section while the second for the number ofthe subsection itself. The same numeration is used for all kinds of statements and formulas. If we refer to statements or formulas in other chapters, we use triple numeration where the first number stands for the chapter and the other two have the same sense. The results presented in this book were discussed on the seminars at the Institute of Mathematics of Ukrainian Academy ofSciences, at the Steklov Mathematical Institute of the Academy of Sciences of the USSR, at Moscow and Tbilisi State Universities. I am deeply grateful to the heads of these seminars Professors V. K. Dzyadyk, N. P. Kor- neichuk, S. B. Stechkin, P. L. U1yanov, and L. V. Zhizhiashvili as well as to the mem- bers ofthese seminars that took an active part in the discussions. In TRODUCTIon It is well known for many years that every 21t -periodic summable function f(x) can be associated in a one-to-one manner with its Fourier series (1. 1) Slfl where I It = - f f(t)cosktdt 1t -It and I It - f f(t)sinktdt. 1t -It Therefore, if for approximation of a given function f(-), it is necessary to construct a sequence ofpolynomials Pn (.

Автор: Israel C. Gohberg; Reinhard Mennicken; Christiane
Название: Recent Progress in Operator Theory
ISBN: 3764358912 ISBN-13(EAN): 9783764358914
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Описание: The Workshop on Operator Theory and Its Applications, IWOTA 95, was held at the University of Regensburg, Germany, July 31 to August 4, 1995. This work contains the contributions to different aspects of operator theory and its applications. It focuses on differential and integral operators.

Автор: Houman Owhadi, Clint Scovel
Название: Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization: From a Game Theoretic Approach to Numerical Approximation and Algorithm Design
ISBN: 1108484360 ISBN-13(EAN): 9781108484367
Издательство: Cambridge Academ
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Описание: This book, meant for graduate students and researchers, explores the connections between numerical approximation and statistical inference from a game and decision theoretic perspective, and illustrates these interplays by addressing problems related to numerical homogenization, operator adapted wavelets, and fast solvers.

Автор: A.A. Gonchar; E.B. Saff
Название: Progress in Approximation Theory
ISBN: 146127737X ISBN-13(EAN): 9781461277378
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Описание: Designed to give a contemporary international survey of research activities in approximation theory and special functions, this book brings together the work of approximation theorists from North America, Western Europe, Asia, Russia, the Ukraine, and several other former Soviet countries.