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Pointwise estimation of comonotone approximation

We prove that, for a continuous function f(x) defined on the interval [−1,1] and having finitely many intervals where it is either nonincreasing or nondecreasing, one can always find a sequence of polynomials P n (x) with the same local properties of monotonicity as the function f(x) and such that...

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Bibliographic Details
Date:	1994
Main Authors:	Dzyubenko, H. A., Дзюбенко, Г. А.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1994
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5585
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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