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
Summary
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
Bibliography
Includes bibliographical references (pages 183-198) and index
