Nonlinear Integral Operators and Applications

Written for advanced students and researchers, this book presents fundamental theoretical results on approximation theory by means of nonlinear integral operators in function spaces. Fundamentals of approximate identity for kernals of nonlinear operators and a general concept of modulus of continuity are developed, and applications to nonlinear summability, nonlinear integral equations, and nonlinear sampling theory are given. Background in the theory of measurement and functional analysis is required. Author information is not given