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 ...
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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.
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Add this copy of The Averaged Moduli of Smoothness to cart. $152.82, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 1989 by John Wiley & Sons.
