Bøger af Sorin G. Gal

This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory.

A monograph that examines in detail two aspects in the field of interpolation of functions - the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP). It is accompanied by numerous open problems, an updated set of references, and an appendix featuring illustrations of nine types of Shepard surfaces.

This monograph presents quantitative overconvergence results in complex approximation. It generalizes and extends the results for certain cases of the complex q-Bernstein operators. Each chapter includes notes and open problems.

This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality.

A comprehensive study of the computational aspects of the moduli of smoothness and the Global Smoothness Preservation Property (GSPP). It includes applications of moduli of smoothness and GSPP concepts to approximation theory, probability theory, numerical and functional analysis; and a bibliography and index.