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Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present… Expand Preface Part I. Introduction: 1. Introduction 2. Motivating examples Part II. Preliminaries: 3. Tools from matrix theory 4… Expand 1. Applications and motivations 2. Hear spaces and multivariate polynomials 3. Local polynomial reproduction 4. Moving least… Expand BASIC THEORY 1.1 Orthogonal polynomials 1.2 Properties of orthogonal polynomials 1.3 Three-term recurrence relation 1.4… Expand The paper describes a general methodology for the fitting of measured or calculated frequency domain responses with rational… Expand We generalize the notion of an approximation space introduced in . In tolerance approximation spaces we define the lower and… Expand Subspace estimation plays an important role in a variety of modern signal processing applications. We present a new approach for… Expand Abstract We show that standard multilayer feedforward networks with as few as a single hidden layer and arbitrary bounded and… Expand The problem of the approximation of nonlinear mapping, (especially continuous mappings) is considered. Regularization theory and… Expand The nonlinear inverse problem for seismic reflection data is solved in the acoustic approximation. The method is based on the… Expand