Approximation Theory Moduli of Continuity and Global Smoothness Preservation
Stock Image
Stock Image
Stock Image
Stock Image
Approximation Theory: Moduli of Continuity and Global Smoothness Preservation (Hardback)
Published by Birkhauser Boston Inc, United States (2000)
ISBN 10: 0817641513 ISBN 13: 9780817641511
New Hardcover Quantity: 1
Book Description Hardback. Condition: New. 2000 ed. Language: English. Brand new Book. 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. Seller Inventory # SPP9780817641511
More information about this seller | Contact this seller
Stock Image
Stock Image
Stock Image
Approximation Theory: Moduli of Continuity and Global Smoothness Preservation (Hardback)
Published by Birkhauser Boston Inc, United States (2000)
ISBN 10: 0817641513 ISBN 13: 9780817641511
New Hardcover Quantity: 1
Book Description Hardback. Condition: New. 2000 ed. Language: English. Brand new Book. 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. Seller Inventory # SPP9780817641511
More information about this seller | Contact this seller
Stock Image
Stock Image
Seller Image
Approximation Theory : Moduli of Continuity and Global Smoothness Preservation
Published by Birkh�user Boston (1999)
ISBN 10: 0817641513 ISBN 13: 9780817641511
New Hardcover Quantity: 1
Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware -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. 540 pp. Englisch. Seller Inventory # 9780817641511
More information about this seller | Contact this seller
Source: https://www.abebooks.com/9780817641511/Approximation-Theory-Moduli-Continuity-Global-0817641513/plp
0 Response to "Approximation Theory Moduli of Continuity and Global Smoothness Preservation"
Post a Comment