How Long to Read Power Orthogonal Polynomials

How Long Does it Take to Read Power Orthogonal Polynomials?

It takes the average reader 5 hours and 38 minutes to read Power Orthogonal Polynomials by Ying Guang Shi

Assuming a reading speed of 250 words per minute. Learn more

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®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.

How long is Power Orthogonal Polynomials?

Power Orthogonal Polynomials by Ying Guang Shi is 328 pages long, and a total of 84,624 words.

This makes it 111% the length of the average book. It also has 103% more words than the average book.

How Long Does it Take to Read Power Orthogonal Polynomials Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 42 minutes to read Power Orthogonal Polynomials aloud.

What Reading Level is Power Orthogonal Polynomials?

Power Orthogonal Polynomials is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Power Orthogonal Polynomials?

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