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- catalog abstract ""This book represents the first attempt at a comprehensive treatment of approximation theory by means of nonlinear integral operators 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 in order to obtain consistent approximation results. Applications to nonlinear summability, nonlinear integral equations and nonlinear sampling theory are given. In particular, the study of nonlinear sampling operators in various function spaces is important since the results permit the processing of several classes of signals." "In a wider context, the material of this book represents a starting point for new areas of research in nonlinear analysis. For this reason the text is written in a style accessible not only to researchers but to advanced students as well."--Jacket.".
- catalog contributor b12895378.
- catalog contributor b12895379.
- catalog contributor b12895380.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description ""In a wider context, the material of this book represents a starting point for new areas of research in nonlinear analysis. For this reason the text is written in a style accessible not only to researchers but to advanced students as well."--Jacket.".
- catalog description ""This book represents the first attempt at a comprehensive treatment of approximation theory by means of nonlinear integral operators 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 in order to obtain consistent approximation results. Applications to nonlinear summability, nonlinear integral equations and nonlinear sampling theory are given. In particular, the study of nonlinear sampling operators in various function spaces is important since the results permit the processing of several classes of signals."".
- catalog description "1. Kernel functionals and modular spaces -- 2. Absolutely continuous modulars and moduli of continuity -- 3. Approximation by convolution type operators -- 4. Urysohn integral operators with homogeneous kernel functions. Applications to nonlinear Mellin-type convolution operators -- 5. Summability methods by convolution-type operators -- 6. Nonlinear integral operators in the space BV[subscript [actual symbol not reproducible]] -- 7. Application to nonlinear integral equations -- 8. Uniform approximation by sampling type operators. Applications in signal analysis -- 9. Modular approximation by sampling type operators.".
- catalog description "Includes bibliographical references (p. [183]-198) and index.".
- catalog extent "xii, 210 p. :".
- catalog identifier "3110175517 (alk. paper)".
- catalog isPartOf "De Gruyter series in nonlinear analysis and applications, 0941-813X ; 9".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Walter de Gruyter,".
- catalog subject "515/.723 21".
- catalog subject "Integral operators.".
- catalog subject "Nonlinear operators.".
- catalog subject "QA329.6 .B37 2003".
- catalog tableOfContents "1. Kernel functionals and modular spaces -- 2. Absolutely continuous modulars and moduli of continuity -- 3. Approximation by convolution type operators -- 4. Urysohn integral operators with homogeneous kernel functions. Applications to nonlinear Mellin-type convolution operators -- 5. Summability methods by convolution-type operators -- 6. Nonlinear integral operators in the space BV[subscript [actual symbol not reproducible]] -- 7. Application to nonlinear integral equations -- 8. Uniform approximation by sampling type operators. Applications in signal analysis -- 9. Modular approximation by sampling type operators.".
- catalog title "Nonlinear integral operators and applications / Carlo Bardaro, Julian Musielak, Gianluca Vinti.".
- catalog type "text".