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Approximation by $\delta $-Polynomials
SIAM Journal on Numerical Analysis, 1973The approximation to complex-valued functions, continuous on a closed Jordan curve by polynomials of degree n, whose uniform norm on that curve is greater than or equal to some prescribed constant, is investigated. The limits for the resultant sequence of the best such deviations are found for a large class of functions.
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Algebraic Polynomial Approximation
1987In this chapter we relate the rate of convergence of best polynomial approximation to our new modulus of smoothness. Asymptotic behavior of the derivatives of the optimal algebraic polynomials will also be related to that modulus of smoothness. The results are of both direct and converse type and yield necessary and sufficient conditions whenever the ...
Z. Ditzian, V. Totik
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2011
Finding the greatest common divisor (GCD) of two given polynomials is a basic problem in algebraic computing. The problem is usually stated as follows: given the (real or complex) coefficients of two polynomials, compute the coefficients of their greatest common divisor.
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Finding the greatest common divisor (GCD) of two given polynomials is a basic problem in algebraic computing. The problem is usually stated as follows: given the (real or complex) coefficients of two polynomials, compute the coefficients of their greatest common divisor.
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Bounded by Polynomial Approximation
Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, 1964openaire +2 more sources
Simple Local Polynomial Density Estimators
Journal of the American Statistical Association, 2020Matias D Cattaneo, Michael Jansson
exaly