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| Author | : Doron S. Lubinsky |
| Publisher | : Springer |
| Total Pages | : 160 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540388575 |
0. The results are consequences of a strengthened form of the following assertion: Given 0 p, f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e.
| Author | : Doron Shaul Lubinsky |
| Publisher | : Lecture Notes in Mathematics |
| Total Pages | : 170 |
| Release | : 1988-03-09 |
| Genre | : Mathematics |
| ISBN | : |
0. The results are consequences of a strengthened form of the following assertion: Given 0 > 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials.
| Author | : Doron Shaul Lubinsky |
| Publisher | : Longman Scientific and Technical |
| Total Pages | : 264 |
| Release | : 1989 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Eli Levin |
| Publisher | : Springer |
| Total Pages | : 168 |
| Release | : 2018-02-13 |
| Genre | : Mathematics |
| ISBN | : 3319729470 |
This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics. This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices.
| Author | : Gradimir V Milovanovic |
| Publisher | : World Scientific |
| Total Pages | : 844 |
| Release | : 1994-06-28 |
| Genre | : Science |
| ISBN | : 9814506486 |
The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.
| Author | : R Raghavan |
| Publisher | : Routledge |
| Total Pages | : 136 |
| Release | : 2017-11-22 |
| Genre | : Mathematics |
| ISBN | : 1351469762 |
Self-contained and concise, this Research Note provides a basis to study unsteady flow in saturated porous media. It provides for the development of algorithms that examine three-dimensional flows subject to complicated boundary conditions that are a natural consequence of flow in geological systems. A new way to understand the flow in porous media is presented. The authors pay attention to computational considerations, and options for developing codes are addressed. The note consists of five chapters: the first is introductory; the second and third are devoted to showing how one arrives at the solutions of interest; the fourth chapter presents various reformulations to aid computations and presents a few illustrative examples; the fifth chapter is a natural progression of the first four chapters to more complicated visualizations of flow in porous media.
| Author | : Hayri Korezlioglu |
| Publisher | : Springer |
| Total Pages | : 384 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 354039186X |
The Silvri Workshop was divided into a short summer school and a working conference, producing lectures and research papers on recent developments in stochastic analysis on Wiener space. The topics treated in the lectures relate to the Malliavin calculus, the Skorohod integral and nonlinear functionals of white noise. Most of the research papers are applications of these subjects. This volume addresses researchers and graduate students in stochastic processes and theoretical physics.
| Author | : Peter R. Turner |
| Publisher | : Springer |
| Total Pages | : 274 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540467327 |
Each week of this three week meeting was a self-contained event, although each had the same underlying theme - the effect of parallel processing on numerical analysis. Each week provided the opportunity for intensive study to broaden participants' research interests or deepen their understanding of topics of which they already had some knowledge. There was also the opportunity for continuing individual research in the stimulating environment created by the presence of several experts of international stature. This volume contains lecture notes for most of the major courses of lectures presented at the meeting; they cover topics in parallel algorithms for large sparse linear systems and optimization, an introductory survey of level-index arithmetic and superconvergence in the finite element method.
