Kopotun, К. A.Lystopad, Vladimir2014-04-252014-04-251994Kopotun, 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. 1266-1270https://dspace.nuft.edu.ua/handle/123456789/14150The 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.otheruniform approximationpolynomialsmonotone and convex approximationкафедра вищої математики імені проф. Можара В. І.Article