The best one-sided approximations of the class of differentiable functions by algebraic polynomials in $$$L_1$$$ space

V.P. Motornyi (Oles Honchar Dnipropetrovsk National University)
V.V. Sedunova (Oles Honchar Dnipropetrovsk National University)


The asymptotic meaning of the best one-sided approximation of functions from the class $$$W^1_{\infty}$$$ by algebraic polynomials of degree not greater than $$$n$$$ in $$$L_1$$$ space is calculated here.


function; derivative; polynomial; the best one-sided approximation; Bernulli function


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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991