Remarks on monotone and convex approximation by algebraic polynomials

dc.contributor.author	Kopotun, К. A.
dc.contributor.author	Lystopad, Vladimir
dc.date.accessioned	2014-04-25T09:30:52Z
dc.date.available	2014-04-25T09:30:52Z
dc.date.issued	1994
dc.description.abstract	The following results are obtained: If and is a nondecreasing (convex) function on [-1,1] such that for any then for and , where is the value of the best uniform approximation of a continuous function by polynomials of degree , and and are the values of the best monotone and convex approximation, respectively. For and , this result is not true.	uk_UA
dc.identifier.citation	Kopotun, К. A. Remarks on monotone and convex approximation by algebraic polynomials / К. A. Kopotun, V. V. Lystopad // Український математичний журнал : Academy of Sciences of Ukraine. Institute of Mathematics. – К., 1994. – V. 46. № 9. – P. 1266-1270	uk_UA
dc.identifier.uri	https://dspace.nuft.edu.ua/handle/123456789/14150
dc.language.iso	other	uk_UA
dc.subject	uniform approximation	uk_UA
dc.subject	polynomials	uk_UA
dc.subject	monotone and convex approximation	uk_UA
dc.subject	кафедра вищої математики імені проф. Можара В. І.
dc.title	Remarks on monotone and convex approximation by algebraic polynomials	uk_UA
dc.type	Article	uk_UA

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