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METHODS OF APPROXIMATION THEORY
Da: AVON HILL BOOKS, Cambridge, MA, U.S.A.
Membro dell'associazione: SNEAB
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Hardcover. Condizione: As New. Condizione sovraccoperta: No Dust Jacket. This monograph can be regarded as a result of the activity of many mathematicians of the 20th century in the field of classical Fourier series and the theory of approximation of periodic functions, beginning with H. Lebesgue, D. Jackson, and S. N. Bernstein. The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions, including, as particular cases, the well-known Weyl--Nagy and Sobolev classes as well as classes of functions defined by convolutions with arbitrary summable kernels. The developed methods enable one to solve problems of approximation theory not only in the periodic case but also in the case where objects of approximation are functions locally integrable on the entire axis and functions defined by Cauchy-type integrals in domains of the complex plane bounded by rectifiable Jordan curves. The main results are fairly complete and are presented in the form of either exact or asymptotically exact equalities. Most results of the monograph represent the latest achievements, which have not yet been published in existing monographs. First of all, this refers to problems of regularity and saturation of linear processes of summation and the convergence rate of Fourier series in different metrics, approximation by interpolation polynomials, approximation of locally integrable functions by entire functions of exponential type, and approximation of Cauchy integrals in Jordan domains by Faber polynomials. The monograph also contains entirely new results aimed at the construction of approximation theory in general linear spaces. The present monograph is, in many respects, a store of knowledge accumulated in approximation theory by the beginning of the third millennium and serving for its further development. Due to size, ships within US only. ; tall 8vo 9" - 10" tall; 922 pp.
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Classification and Approximation of Periodic Functions
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Classification and Approximation of Periodic Functions
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Classification and Approximation of Periodic Functions
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Classification and Approximation of Periodic Functions (Mathematics and Its Applications, 333)
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Classification and Approximation of Periodic Functions (Mathematics and Its Applications, 333)
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Classification and Approximation of Periodic Functions
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Classification and Approximation of Periodic Functions
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Methods Of Approximation Theory (Hb 2005)
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Condizione: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.
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Methods of Approximation Theory
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Classification and Approximation of Periodic Functions
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Classification and Approximation of Periodic Functions
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Condizione: New. pp. 380.
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Classification and Approximation of Periodic Functions
Lingua: Inglese
Editore: Kluwer Academic Publishers, US, 1995
ISBN 10: 0792336038 ISBN 13: 9780792336037
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Aggiungi al carrelloHardback. Condizione: New. 1995 ed. 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 (.
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Methods of Approximation Theory
Da: Books Puddle, New York, NY, U.S.A.
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Condizione: New. pp. xviii + 919.
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Methods of Approximation Theory
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Uniform Approximations by Trigonometric Polynomials
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Condizione: New. pp. xii + 483.
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Methods of Approximation Theory
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Uniform Approximations by Trigonometric Polynomials
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Classification and Approximation of Periodic Functions | A. I. Stepanets | Taschenbuch | Einband - flex.(Paperback) | Englisch | 2012 | Springer Netherland | EAN 9789401040556 | Verantwortliche Person für die EU: Springer Netherlands, Haberstr. 7, 69126 Heidelberg, buchhandel-buch[at]springer[dot]com | Anbieter: preigu.
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Uniform Approximations by Trigonometric Polynomials
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Methods Of Approximation Theory (Hb 2005)
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Classification and Approximation of Periodic Functions
Lingua: Inglese
Editore: Springer Netherlands, Springer Netherlands, 2012
ISBN 10: 9401040559 ISBN 13: 9789401040556
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 (.
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Aggiungi al carrelloBuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 (.
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Classification and Approximation of Periodic Functions (Mathematics and Its Applications, 333)
Da: Mispah books, Redhill, SURRE, Regno Unito
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Classification and Approximation of Periodic Functions
Lingua: Inglese
Editore: Kluwer Academic Publishers, US, 1995
ISBN 10: 0792336038 ISBN 13: 9780792336037
Da: Rarewaves.com UK, London, Regno Unito
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Aggiungi al carrelloHardback. Condizione: New. 1995 ed. 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 (.
-
Uniform Approximations by Trigonometric Polynomials
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Methods of Approximation Theory
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