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Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
A Book

by Robert Gardner,Narendra Govil,Gradimir V. Milovanovic

  • Publisher : Academic Press
  • Release : 2019-11-15
  • Pages : 304
  • ISBN : 9780128119884
  • Language : En, Es, Fr & De
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Bernstein-type Inequalities for Polynomials and Rational Functions is an integrated, powerful and clear presentation of the emergent field in approximation theory. It presents a unified description of solution norms relevant to complex polynomials, rational functions and exponential functions. Primarily for graduate students and first year PhDs, this book is useful for any researcher exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory. Applies Bernstein-type Inequalities to any problem where derivative estimates are necessary Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions Contains exhaustive references with thousands of citations to articles and books Features methods to solve inverse problems across approximation theory Includes open problems for further research

Approximation Theory

Approximation Theory
In Memory of A.K. Varma

by Narenda Govil,Ram N. Mohapatra,Zuhair Nashed,A. Sharma,J. Szabados

  • Publisher : CRC Press
  • Release : 2021-02-01
  • Pages : 552
  • ISBN : 1000146030
  • Language : En, Es, Fr & De
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"Contains the contributions of 45 internationally distinguished mathematicians covering all areas of approximation theory-written in honor of the pioneering work of Arun K. Varma to the fields of interpolation and approximation of functions, including Birhoff interpolation and approximation by spline functions."

Generalized Functions and Convergence

Generalized Functions and Convergence
Memorial Volume for Professor Jan Mikusiński ; 13-18 June 1988, Katowice, Poland

by Piotr Antosik,Andrzej Kamiński

  • Publisher : World Scientific Publishing Company Incorporated
  • Release : 1990
  • Pages : 386
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.

Mathematical Reviews

Mathematical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Topics in Polynomials

Topics in Polynomials
Extremal Problems, Inequalities, Zeros

by G V Milovanovic,D S Mitrinovic,Th M Rassias

  • Publisher : World Scientific
  • Release : 1994-06-28
  • Pages : 836
  • ISBN : 9814506486
  • Language : En, Es, Fr & De
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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. Contents:PrefaceGeneral Concept of Algebraic PolynomialsSelected Polynomial InequalitiesZeros of PolynomialsInequalities Connected with Trigonometric SumsExtremal Problems for PolynomialsExtremal Problems of Markov-Bernstein TypeSome Applications of PolynomialsSymbol IndexName IndexSubject Index Readership: Mathematicians and mathematical physicists. keywords:Algebraic Polynomials;Trigonometric Polynomials;Zeros;Extremal Problems;Trigonometric Sums;Positivity and Monotonicity;Distribution of Zeros;Bounds for Polynomial Zeros;Incomplete Polynomials;Polynomials with Minimal Norm;Markov-Bernstein Inequalities;Approximation;Symmetric Functions;Orthogonal Polynomials;Nonnegative Polynomials “The topics are tastefully selected and the results are easy to find. Although this book is not really planned as a textbook to teach from, it is excellent for self-study or seminars. This is a very useful reference book with many results which have not appeared in a book form yet. It is an important addition to the literature.” Journal of Approximation Theory “I find the book to be well written and readable. The authors have made an attempt to present the material in an integrated and self-contained fashion and, in my opinion, they have been greatly successful. The book would be useful not only for the specialist mathematician, but also for those researchers in the applied and computational sciences who use polynomials as a tool.” Mathematical Reviews “This is a remarkable book, offering a cornucopia of results, all connected by their involvement with polynomials. The scope of the volume can be conveyed by citing some statistics: there are 821 pages, 7 chapters, 20 sections, 108 subsections, 95 pages of references (distributed throughout the book), a name index of 16 pages, and a subject index of 19 pages … The book is written in a gentle style: one can open it anywhere and begin to understand, without encountering unfamiliar notation and terminology. It is strongly recommended to individuals and to libraries.” Mathematics of Computation “This book contains some of the most important results on the analysis of polynomials and their derivatives … is intended, not only for the specialist mathematician, but also for those researchers in the applied sciences who use polynomials as a tool.” Sever S Dragomir “This is a well-written book on a widely useful topic. It is strongly recommended not only to the mathematical specialist, but also to all those researchers in the applied and computational sciences who make frequent use of polynomials as a tool. Of course, libraries will also benefit greatly by including this book in their cherished collection.” Mathematics Abstracts “There is no doubt that this is a very useful work compiling enormous researches carried out on the subject … This is a well-written book on a widely useful topic.” Zentralblatt für Mathematik

Generalized Functions and Convergence

Generalized Functions and Convergence
Memorial Volume for Professor Jan MikusinskiProceedings of the Conference

by Piotr Antosik,Andrzej Kamiński

  • Publisher : World Scientific
  • Release : 1990-09-12
  • Pages : 396
  • ISBN : 9814611719
  • Language : En, Es, Fr & De
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The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures. Contents:On Uniform Convergence of the Inner Product of Sequences (P Antosik et al)Decompositions of F-spaces into spaces with Properties K, N or k (J Burzyk)Finite Integral Transforms for Non-Local Boundary Value Problems (I H Dimovski & R I Petrova) On the Neutrix Convolution Product xs * xλ+ (B Fisher)On the Wiener-Laguerre Transform of Generalized Functions (H J Glaeske)On Distributional Solutions of the Generalized Entropy Equation (A Kaminski)On a Representation of the Algebra o of Mikusinski Operators (C Klis)Semilinear Wave Equations with Rough Initial Data: Generalized Solutions (M Oberguggenberger)Prodigious Mystery of Genuine Analysis (D Przeworska-Rolewicz)Asymtotic Bounds for the Distributional Stieltjes Transforms (A Takaci)On Tensor Product and Convolution of Generalized Functions of Gelfand-Shilov Type (J Uryga)Multidimensional Tauberian Theorems for Distributions (V S Vladimirov et al)and others Readership: Mathematicians and mathematical physicists.

Journal of the Indian Institute of Science

Journal of the Indian Institute of Science
A Book

by Indian Institute of Science, Bangalore

  • Publisher : Unknown Publisher
  • Release : 1997
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Algebras, Groups, and Geometries

Algebras, Groups, and Geometries
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1996
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Journal of Natural Geometry

Journal of Natural Geometry
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1994
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Journal of Contemporary Mathematical Analysis

Journal of Contemporary Mathematical Analysis
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2001
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Revue Roumaine de Mathématiques Pures Et Appliquées

Revue Roumaine de Mathématiques Pures Et Appliquées
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1967
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Approximation Theory II

Approximation Theory II
Proceedings of an International Symposium Conducted by the University of Texas at Austin, Texas, January 18-21, 1976

by G. G. Lorentz,Elliott W. Cheney,C. K. Chui,Larry L. Schumaker

  • Publisher : Unknown Publisher
  • Release : 1976
  • Pages : 588
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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The thief Parker teams up with some crooks to steal half a million dollars from a TV evangelist. But one cannot keep his mouth shut and Parker is on the run, pursued by people on both sides of the law.

Transactions of the American Mathematical Society

Transactions of the American Mathematical Society
A Book

by American Mathematical Society

  • Publisher : Unknown Publisher
  • Release : 1995
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Proceedings of the ...ACM Symposium on Theory of Computing

Proceedings of the ...ACM Symposium on Theory of Computing
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2002
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Proceedings of the 34th Annual ACM Symposium on the Theory of Computing

Proceedings of the 34th Annual ACM Symposium on the Theory of Computing
Montreal, Quebec, Canada, May 19-21, 2002

by John H. Reif

  • Publisher : Assn for Computing Machinery
  • Release : 2002
  • Pages : 824
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Extremal Properties of Polynomials and Splines

Extremal Properties of Polynomials and Splines
A Book

by Nikolaĭ Pavlovich Korneĭchuk,Anatoliĭ Aleksandrovich Ligun,V. F. Babenko

  • Publisher : Nova Publishers
  • Release : 1996
  • Pages : 433
  • ISBN : 9781560723615
  • Language : En, Es, Fr & De
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Extremal Properties of Polynomials & Splines

General Inequalities 6

General Inequalities 6
6th International Conference on General Inequalities, Oberwolfach, Dec. 9–15, 1990

by Wolfgang Walter

  • Publisher : Birkhäuser
  • Release : 1992-04-10
  • Pages : 508
  • ISBN : 9783764327378
  • Language : En, Es, Fr & De
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The sixthInternational Conference on General Inequalities was held from Dec. 9 to Dec. 15, 1990, at the Mathematisches Forschungsinstitut Oberwolfach (Black Fa rest, Germany). The organizing committee was composed of W.N. Everitt (Birm ingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec ( Coimbra) served cheerfully and efficiently as secretary of the meeting. The con ference was attended by 44 participants from 20 countries. Yet again the importance of inequalities in both pure and applied mathematics was made evident from the wide range of interests of the individual participants, and from the wealth of new results announced. New inequalities were presented in the usual spread of the subject areas now expected for these meetings: Classical and functional analysis, existence and boundary value problems for both ordinary and partial differential equations, with special contributions to computer science, quantum holography and error analysis. More strongly than ever, the role played by modern electronic computers was made clear in testing out and prohing into the validity and structure of certain inequalities. Here the computer acts not only for numerical calculations of great complexity, but also in symbolic manipulation of complex finite structures. Prob lems in inequalities which even a few years ago were intractable, now fall to solution or receive direct and positive guidance as a result of computer applications. The interface between finite and infinite structures in mathematics and the versatility of modern computers is weil developed in the subject of general inequalities.

Godishnik na Sofiĭskii︠a︡ universitet "Sv. Kliment Okhridski."

Godishnik na Sofiĭskii︠a︡ universitet 'Sv. Kliment Okhridski.'
Annuaire de l'Université de Sofia "St. Kliment Ohridski." Faculté de mathématiques et informatiques [sic].. Fakultet po matematika i informatika

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1998
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Analele Universității Din Timișoara

Analele Universității Din Timișoara
Seria Matematică-informatică

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1994
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Approximation Theory X: Abstract and classical analysis

Approximation Theory X: Abstract and classical analysis
A Book

by C. K. Chui,Larry L. Schumaker,Joachim Stöckler

  • Publisher : Unknown Publisher
  • Release : 2002
  • Pages : 370
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Survey papers written by experts in the fields of Abstract and Classical Analysis, along with contributed research papers. Topics include: biharmonic splines cardinal L-splines discrete splines exterior BVPs financial optimization framelets FSI generators Gabor frames moving least squares multiwavelets nonstationary wavelets non-MSF wavelets orthogonal wavelets penalized least squares refinable functions SAR interferometry smoothing splines spline bases spline interpolation Sturm-Liouville problems subdivision thin plate splines wavelet packets