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Bibliographic Details

Title: The Averaged Moduli of Smoothness: Applications in Numerical Methods and Approximation (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
Publisher: Wiley
Publication Date: 1989
Language: English
ISBN 10: 0471919527
ISBN 13: 9780471919520
Binding: Hardcover
Condition: Good

About this title

Synopsis

This monograph, by two eminent Bulgarian mathematicians, describes a new method of estimating the error associated with commonly used numerical methods (such as interpolation, approximation of functions by means of operators, quadrature formulas, and network methods) for solution of integral and differential equations. The method is based on a new characteristic of functions (first used in the theory of Hausdorff approximations) called averaged moduli of smoothness. The authors show, by many examples, the methods and results of applying the averaged moduli of smoothness--the advantage of this method is that it allows error estimation without making any assumptions about the function involved beyond those imposed by the problem itself.

Language Notes

Text: English, Bulgarian (translation)

"About this title" may belong to another edition of this title.

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