In this monograph, we present the authors' recent work of the last seven years in Approximation Theory. Chapters are self-contained and can be read independently and advanced courses can be taught out
This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various m
In an attempt to introduce application scientists and graduate students to the exciting topic of positive definite kernels and radial basis functions, this book presents modern theoretical results on
Given the Debye temperature of an elemental superconductor (SC) and its Tc, BCS theory enables one to predict the value of its gap ?0 at T = 0, or vice versa. This monograph shows that non-elemental S
This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical ph
This book presents mathematical methods and tools which are useful for physicists and engineers: response functions, Kramers–Kronig relations, Green's functions, saddle point approximation. The deriva
This book presents mathematical methods and tools which are useful for physicists and engineers: response functions, Kramers–Kronig relations, Green's functions, saddle point approximation. The deriva
This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine
The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg’s inequality, the Cramer–Lundberg approximation, exact solutions, other ap
This book gives a modern, comprehensive introduction to the principles of quantum mechanics, to the main approximation methods and to the application of quantum theory to a wide variety of systems. Th
This text emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. Students learn why the numerical meth
Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes of
