Power Orthogonal Polynomials by Ying Guang Shi (English) Hardcover Book

Description: FREE SHIPPING UK WIDE Power Orthogonal Polynomials by Ying Guang Shi Lists the basic results of orthogonal polynomials, Jacobi, Laguerre, and Hermite polynomials, and collects some frequently used theorems and formulas. This title deals with Gaussian quadrature formulas and their convergence. It discusses the explicit representation of power orthogonal polynomials. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description The first chapter lists the basic results of orthogonal polynomials, Jacobi, Laguerre, and Hermite polynomials, and collects some frequently used theorems and formulas. As a base and useful tool, the representation and quantitative theory of Hermite interpolation is the subject of Chapter 2. The theory of power orthogonal polynomials begins in Chapter 3: existence, uniqueness, Characterisations, properties of zeros, and continuity with respect to the measure and the indices are all considered. Chapter 4 deals with Gaussian quadrature formulas and their convergence. Chapter 5 is devoted to the theory of Christo(R)el type functions, which are related to Gaussian quadrature formulas and is one of the important contents of power orthogonal polynomials. The explicit representation of power orthogonal polynomials is an interesting problem and is discussed in Chapter 6. Chapter 7 is a detailed treatment of zeros in power orthogonal polynomials. Chapter 8 is devoted to bounds and inequalities of power orthogonal polynomials. In Chapters 9 and 10 we study asymptotics of general polynomials and power orthogonal polynomials, respectively.In Chapter 11 we discuss convergence of power orthogonal series, Lagrange and Hermite interpolation, and two positive operators constructed by power orthogonal polynomials. In Chapter 12 we investigate Gaussian quadrature formulas for extended Chebyshev spaces. In Chapter 13 we give construction methods for power orthogonal polynomials and Gaussian quadrature formulas; we also provide numerical results and numerical tables. Table of Contents Preliminaries; Hermite Interpolation; General Properties of Power Orthogonal Polynomials; Gaussian Quadrature Formulas; Christoel Type Functions; Explicit Expressions; Zeros of Power Orthogonal Polynomials; Bounds and Inequalities; Asymptotics of General Polynomials; Asymptotics of Power Orthogonal Polynomials; Interpolation and Power Orthogonal Series; Gaussian Quadrature Formulas for Extended Chebyshev Spaces; Construction Methods; Index. Details ISBN1594548552 Author Ying Guang Shi Pages 309 Publisher Nova Science Publishers Inc Year 2006 ISBN-10 1594548552 ISBN-13 9781594548550 Format Hardcover Publication Date 2006-12-01 Imprint Nova Science Publishers Inc Place of Publication New York Country of Publication United States DEWEY 515.55 Language English Media Book DOI 10.1604/9781594548550 UK Release Date 2006-12-01 AU Release Date 2006-12-01 NZ Release Date 2006-12-01 US Release Date 2006-12-01 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICY No questions asked, 30 day returns! FREE DELIVERY No matter where you are in the UK, delivery is free. SECURE PAYMENT Peace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:3635604;

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