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Nonlinear integral operators and applications /

This volume presents a comprehensive treatment of approximation theory by means of nonlinear integral operator in function spaces. In particular, the fundamental notions of approximate identity for kernels of nonlinear operators and a general concept of modulus of continuity are developed.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bardaro, Carlo
Otros Autores: Musielak, Julian, 1928-, Vinti, Gianluca
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; New York : Walter de Gruyter, 2003.
Colección:De Gruyter series in nonlinear analysis and applications ; 9.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; Contents; Chapter 1 Kernel functionals and modular spaces; Chapter 2 Absolutely continuous modulars and moduli of continuity; Chapter 3 Approximation by convolution type operators; Chapter 4 Urysohn integral operators with homogeneous kernel functions. Applications to nonlinear Mellin-type convolution operators; Chapter 5 Summability methods by convolution-type operators; Chapter 6 Nonlinear integral operators in the space BV?; Chapter 7 Application to nonlinear integral equations; Chapter 8 Uniform approximation by sampling type operators. Applications in signal analysis.