Methods of approximation theory /

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. The main results ar...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Stepanet͡s, A. I. (Aleksandr Ivanovich)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Leiden ; [Boston] : Brill : [VSP], ©2005.
Temas:
Approximation theory.
Théorie de l'approximation.
MATHEMATICS > General.
Computer network resources.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • PREFACE; 1. REGULARITY OF LINEAR METHODS OF SUMMATION OF FOURIER SERIES; 2. SATURATION OF LINEAR METHODS; 3. CLASSES OF PERIODIC FUNCTIONS; 4. INTEGRAL REPRESENTATIONS OF DEVIATIONS OF POLYNOMIALS GENERATED BY LINEAR PROCESSES OF SUMMATION OF FOURIER SERIES; 5. APPROXIMATION BY FOURIER SUMS IN SPACES C AND L1; BIBLIOGRAPHICAL NOTES (Part I); REFERENCES (Part I); 6. CONVERGENCE RATE OF FOURIER SERIES AND THE BEST APPROXIMATIONS IN THE SPACES Lp; 7. BEST APPROXIMATIONS IN THE SPACES C AND L; 8. INTERPOLATION; 9. APPROXIMATIONS IN THE SPACES OF LOCALLY SUMMABLE FUNCTIONS.

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