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On The Degree Of Approximation Of Continuous Functions By Positive Linear Operators
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Book Synopsis The Approximation of Continuous Functions by Positive Linear Operators by : Ronald A. De Vore
Download or read book The Approximation of Continuous Functions by Positive Linear Operators written by Ronald A. De Vore and published by Springer. This book was released on 2006-11-15 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the degree of approximation of continuous functions by positive linear operators by : Jovan Karamata
Download or read book On the degree of approximation of continuous functions by positive linear operators written by Jovan Karamata and published by . This book was released on 1964 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theorem of B. Bajsanski and R. Bojanic ('A note on approximation by Bernstein polynomials.' Bull. Amer. Math. Soc. 70(1964), p. 675-677) is extended to general linear positive operators. (Author).
Book Synopsis The Approximation of Continuous Functions by Positive Linear Operators by : Ronald A. De Vore
Download or read book The Approximation of Continuous Functions by Positive Linear Operators written by Ronald A. De Vore and published by . This book was released on 2014-01-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation Theory Using Positive Linear Operators by : Radu Paltanea
Download or read book Approximation Theory Using Positive Linear Operators written by Radu Paltanea and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results
Book Synopsis Approximation with Positive Linear Operators and Linear Combinations by : Vijay Gupta
Download or read book Approximation with Positive Linear Operators and Linear Combinations written by Vijay Gupta and published by Springer. This book was released on 2017-06-27 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.
Book Synopsis The Approximation of Continuous Functions by Positive Linear Operators by : De Vore Ronald A.
Download or read book The Approximation of Continuous Functions by Positive Linear Operators written by De Vore Ronald A. and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Approximation of Continuous Functions by Positive Linear Operators by : Ronald A. DeVore
Download or read book The Approximation of Continuous Functions by Positive Linear Operators written by Ronald A. DeVore and published by . This book was released on 1972 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Operators and Approximation Theory by : Pavel Petrovich Korovkin
Download or read book Linear Operators and Approximation Theory written by Pavel Petrovich Korovkin and published by . This book was released on 1960 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :George A. Anastassiou Publisher :Springer Science & Business Media ISBN 13 :1461213606 Total Pages :520 pages Book Rating :4.4/5 (612 download)
Book Synopsis Approximation Theory by : George A. Anastassiou
Download or read book Approximation Theory written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val ues of errors in explicit forms. The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we study/examine the Global Smoothness Preservation Prop erty (GSPP) for almost all known linear approximation operators of ap proximation theory including: trigonometric operators and algebraic in terpolation operators of Lagrange, Hermite-Fejer and Shepard type, also operators of stochastic type, convolution type, wavelet type integral opera tors and singular integral operators, etc. We present also a sufficient general theory for GSPP to hold true. We provide a great variety of applications of GSPP to Approximation Theory and many other fields of mathemat ics such as Functional analysis, and outside of mathematics, fields such as computer-aided geometric design (CAGD). Most of the time GSPP meth ods are optimal. Various moduli of smoothness are intensively involved in Part II. Therefore, methods from Part I can be used to calculate exactly the error of global smoothness preservation. It is the first time in the literature that a book has studied GSPP.
Book Synopsis Approximation of Functions by : G. G. Lorentz
Download or read book Approximation of Functions written by G. G. Lorentz and published by American Mathematical Society. This book was released on 2023-05-08 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an easily accessible account of the approximation of functions. It is simple and without unnecessary details, but complete enough to include the classical results of the theory. With only a few exceptions, only functions of one real variable are considered. A major theme is the degree of uniform approximation by linear sets of functions. This encompasses approximations by trigonometric polynomials, algebraic polynomials, rational functions, and polynomial operators. The chapter on approximation by operators does not assume extensive knowledge of functional analysis. Two chapters cover the important topics of widths and entropy. The last chapter covers the solution by Kolmogorov and Arnol?d of Hilbert's 13th problem. There are notes at the end of each chapter that give information about important topics not treated in the main text. Each chapter also has a short set of challenging problems, which serve as illustrations.
Book Synopsis Approximation of Functions and Operators by : S. B. Stechkin
Download or read book Approximation of Functions and Operators written by S. B. Stechkin and published by American Mathematical Soc.. This book was released on 1977 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers and articles about approximation theory.
Book Synopsis Approximation Results and Korovkin-Type Theorems by : Ambreen Naaz
Download or read book Approximation Results and Korovkin-Type Theorems written by Ambreen Naaz and published by . This book was released on 2023-04-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Moments of Linear Positive Operators and Approximation by : Vijay Gupta
Download or read book Moments of Linear Positive Operators and Approximation written by Vijay Gupta and published by Springer. This book was released on 2019-05-25 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several methods are examined to determine moments including direct calculations, recurrence relations, and the application of hypergeometric series. A collection of operators in the theory of approximation are investigated through their moments and a variety of results are surveyed with fundamental theories and recent developments. Detailed examples are included to assist readers understand vital theories and potential applications.
Book Synopsis Quantitative Estimates for Certain Positive Linear Operators by : Gunjan Agarwal
Download or read book Quantitative Estimates for Certain Positive Linear Operators written by Gunjan Agarwal and published by . This book was released on 2024-01-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The convergence behaviour of linear positive operators has been a prominent topic and many scholars have investigated it using a variety of methodologies for exactness. Approx- imation theory is primarily concerned with the investigation of several direct results such as the asymptotic formula, point-wise convergence and error estimates in simultaneous and ordinary approximation. These findings are necessary from a convergence standpoint. Dun- ham Jackson [103] proved algebraic and trigonometric polynomial direct theorems. Profes- sor Edmund Georg Hermann Landau, Jackson's supervisor, was the one who came up with the Big-O and small-o symbols. The asymptotic behaviour of a function is represented by these symbols. Because a function's rate of growth is known as its order, the letter 'O' or 'o' is utilised. As a result, the order of approximation is represented by these symbols. The crucial theorem proved by Weierstrass in 1885 made it possible to study some sorts of complicated functions by a simpler function with a suitable rate of approximation. Thus, linear positive operator approximation theory is based mostly on the "Weierstrass approxima- tion theorem," which states that "every continuous function defined on a closed and bounded interval may be uniformly approximated by a polynomial". Polynomials are among the most basic functions and computers can instantly evaluate polynomials. The Bernstein polyno- mials are used in the most typical proof of this well-known theorem. Additionally, Borislav Dechev Boyanov [33] was one of the pioneers in the field of mathematics to demonstrate the presence and originality of answers to numerous issues pertaining to approximation the- ory. Academician Blagovest Hristov Sendov, who served as his supervisor, visited Moscow State University in the early 1960s as new, interesting fields in approximation theory began to emerge. During this time, Sergei Natanovich Bernstein was still engaged in mathematical studies.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 1338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopaedia of Mathematics, Supplement III by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics, Supplement III written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2007-11-23 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.
Book Synopsis The Approximation of the Continuous Functions by Means of Some Linear Positive Operators by : Ioan Gavrea
Download or read book The Approximation of the Continuous Functions by Means of Some Linear Positive Operators written by Ioan Gavrea and published by . This book was released on 1996 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
