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A collection of papers by international contributors describing new developments in the fields of univariate and multivariate approximation theory. This research has applications in areas such as computer-aided geometric design, as applied in engineering and medical technology (e.g. computerized tomography).
This monograph examines in detail two aspects in the field of interpolation of functions -the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP). By considering well-known classical interpolation operators such as Lagrange, Grünwald, Hermite-Fejér and Shepard type, the study is mainly developed for the univariate and bivariate cases. One of the first books on the subject, it presents to the reader, recent work featuring many new interesting results in this field, including an excellent survey of past research. Accompanied by numerous open problems, an updated set of references, and an appendix featuring illustrations of nine types of Shepard surfaces, this unique text is best suited to graduate students and researchers in mathematical analysis, interpolation of functions, pure and applied mathematicians in numerical analysis, approximation theory, data fitting, computer aided geometric design, fluid mechanics, and engineering researchers.
The publication of Oberwolfach conference books was initiated by Birkhauser Publishers in 1964 with the proceedings of the conference 'On Approximation Theory', conducted by P. L. Butzer (Aachen) and J. Korevaar (Amsterdam). Since that auspicious beginning, others of the Oberwolfach proceedings have appeared in Birkhauser's ISNM series. The present volume is the fifth * edited at Aachen in collaboration with an external institution. It once again ad dresses itself to the most recent results on approximation and operator theory, and includes 47 of the 48 lectures presented at Oberwolfach, as well as five articles subsequently submitted by V. A. Baskakov (Moscow), H. Esser (Aachen), G. Lumer (...
The current form of modern approximation theory is shaped by many new de velopments which are the subject of this series of conferences. The International Meetings on Approximation Theory attempt to keep track in particular of fun damental advances in the theory of function approximation, for example by (or thogonal) polynomials, (weighted) interpolation, multivariate quasi-interpolation, splines, radial basis functions and several others. This includes both approxima tion order and error estimates, as well as constructions of function systems for approximation of functions on Euclidean spaces and spheres. It is a piece of very good fortune that at all of the IDoMAT meetings, col leagues and...
Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomial...
During the dark years of the Holocaust, many of the millions of labor and concentration camp victims were sustained in their struggle for survival by the hope that their tormentors would not escape retribution. This expectation was reinforced by the warnings issued by the statesmen of the anti-Axis coalition and the declarations of the United States, Great Britain, and the USSR. Shortly after the cessation of hostilities, war crimes trials were indeed initiated in all parts of liberated Europe. Many of the accused were indicted, among other things, for crimes committed against Jews. People's tribunals for the prosecution of war crimes and crimes against humanity were also estab lished in Rom...
This book advances a local, regional, and comparative analysis of the history of the sixty-eighters from Hungary and Romania between 1956 and 1975. The aim of the book is to answer to the following research question: to what extent does ‘the long 1968’ mark and change protest history? Another axis of my research, equally important, is: how can one genuinely distinguish between a protest, an opposition, and a pastime? Where did radicalisation truly begin, and when was it solely an auto-perception as a dissident? In other words, how can one truly distinguish between a leisure activity like listening to Radio Free Europe or exploring an altered state of consciousness, and an explicit politi...
This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials which surfaced in the past decade when the theory of orthogonal polynomials started to experience an unparalleled growth. This progress started with Richard Askey's Regional Confer ence Lectures on "Orthogonal Polynomials and Special Functions" in 1975, and subsequent discoveries led to a substantial revaluation of one's perceptions as to the nature of o...
The story of Radio Free Europe’s role during the Cold War, as recounted by veteran RFE official J. F. Brown, who served as director from 1978 to 1983. Jim Brown had written about Eastern Europe from RFE, but never about RFE?until he wrote this book. He conveys his understanding of how Radio Free Europe functioned as a decentralized organization that empowered exiles, while also conveying what it, and they, could?and could not?offer East European listeners. Jim Brown’s explanations of the function of the central news department as an internal news agency, of discussions with and trust of exile broadcast chiefs, of RFE’s cautious approach to broadcasting to Poland under martial law after...