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Author | : Narendra Kumar Govil |
Publisher | : Springer |
Total Pages | : 541 |
Release | : 2017-04-03 |
Genre | : Mathematics |
ISBN | : 331949242X |
Download Progress in Approximation Theory and Applicable Complex Analysis Book in PDF, ePub and Kindle
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 polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman. This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems.
Author | : A.A. Gonchar |
Publisher | : Springer Science & Business Media |
Total Pages | : 463 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461229669 |
Download Progress in Approximation Theory Book in PDF, ePub and Kindle
Designed to give a contemporary international survey of research activities in approximation theory and special functions, this book brings together the work of approximation theorists from North America, Western Europe, Asia, Russia, the Ukraine, and several other former Soviet countries. Contents include: results dealing with q-hypergeometric functions, differencehypergeometric functions and basic hypergeometric series with Schur function argument; the theory of orthogonal polynomials and expansions, including generalizations of Szegö type asymptotics and connections with Jacobi matrices; the convergence theory for Padé and Hermite-Padé approximants, with emphasis on techniques from potential theory; material on wavelets and fractals and their relationship to invariant measures and nonlinear approximation; generalizations of de Brange's in equality for univalent functions in a quasi-orthogonal Hilbert space setting; applications of results concerning approximation by entire functions and the problem of analytic continuation; and other topics.
Author | : Paul G. Nevai |
Publisher | : |
Total Pages | : 936 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : |
Download Progress in Approximation Theory Book in PDF, ePub and Kindle
Author | : A. A. Gonchar |
Publisher | : |
Total Pages | : 476 |
Release | : 1992-11-01 |
Genre | : |
ISBN | : 9781461229674 |
Download Progress in Approximation Theory Book in PDF, ePub and Kindle
Author | : A.A. Gonchar |
Publisher | : Springer |
Total Pages | : 451 |
Release | : 1992-11-12 |
Genre | : Mathematics |
ISBN | : 9780387979014 |
Download Progress in Approximation Theory Book in PDF, ePub and Kindle
Designed to give a contemporary international survey of research activities in approximation theory and special functions, this book brings together the work of approximation theorists from North America, Western Europe, Asia, Russia, the Ukraine, and several other former Soviet countries. Contents include: results dealing with q-hypergeometric functions, differencehypergeometric functions and basic hypergeometric series with Schur function argument; the theory of orthogonal polynomials and expansions, including generalizations of Szegö type asymptotics and connections with Jacobi matrices; the convergence theory for Padé and Hermite-Padé approximants, with emphasis on techniques from potential theory; material on wavelets and fractals and their relationship to invariant measures and nonlinear approximation; generalizations of de Brange's in equality for univalent functions in a quasi-orthogonal Hilbert space setting; applications of results concerning approximation by entire functions and the problem of analytic continuation; and other topics.
Author | : Elliott Ward Cheney |
Publisher | : |
Total Pages | : 14 |
Release | : 1974 |
Genre | : Approximation theory |
ISBN | : |
Download A Survey of Recent Progress in Approximation Theory Book in PDF, ePub and Kindle
Author | : Manfred W. Müller |
Publisher | : Springer |
Total Pages | : 337 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034886969 |
Download New Developments in Approximation Theory Book in PDF, ePub and Kindle
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).
Author | : Elliott Ward Cheney |
Publisher | : |
Total Pages | : |
Release | : 1974 |
Genre | : Numerical analysis |
ISBN | : |
Download Survey of Recent Progress in Approximation Theory Book in PDF, ePub and Kindle
Author | : Andrei A. Gonchar |
Publisher | : Springer |
Total Pages | : 225 |
Release | : 2008-01-03 |
Genre | : Mathematics |
ISBN | : 3540477926 |
Download Methods of Approximation Theory in Complex Analysis and Mathematical Physics Book in PDF, ePub and Kindle
The book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the Euler International Mathematical Instituteat St. Petersburg, Russia. The aim of the Programme was to present new developments in Constructive Approximation Theory. The topics of the papers are: asymptotic behaviour of orthogonal polynomials, rational approximation of classical functions, quadrature formulas, theory of n-widths, nonlinear approximation in Hardy algebras,numerical results on best polynomial approximations, wavelet analysis. FROM THE CONTENTS: E.A. Rakhmanov: Strong asymptotics for orthogonal polynomials associated with exponential weights on R.- A.L. Levin, E.B. Saff: Exact Convergence Rates for Best Lp Rational Approximation to the Signum Function and for Optimal Quadrature in Hp.- H. Stahl: Uniform Rational Approximation of x .- M. Rahman, S.K. Suslov: Classical Biorthogonal Rational Functions.- V.P. Havin, A. Presa Sague: Approximation properties of harmonic vector fields and differential forms.- O.G. Parfenov: Extremal problems for Blaschke products and N-widths.- A.J. Carpenter, R.S. Varga: Some Numerical Results on Best Uniform Polynomial Approximation of x on 0,1 .- J.S. Geronimo: Polynomials Orthogonal on the Unit Circle with Random Recurrence Coefficients.- S. Khrushchev: Parameters of orthogonal polynomials.- V.N. Temlyakov: The universality of the Fibonacci cubature formulas.
Author | : Vijay Gupta |
Publisher | : Springer |
Total Pages | : 291 |
Release | : 2018-08-10 |
Genre | : Mathematics |
ISBN | : 9783319921648 |
Download Recent Advances in Constructive Approximation Theory Book in PDF, ePub and Kindle
This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is treated with extensions to approximation results on linear positive operators in a post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to optimization, physics, and biology. Graduate students, research scientists and engineers working in mathematics, physics, and industry will broaden their understanding of operators essential to pure and applied mathematics. Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate Gruss-type inequalities for positive linear operators, bivariate operators of discrete and integral type, convergence of GBS operators.