MARKOV-TYPE ESTIMATES FOR CERTAIN CLASSES OF CONSTRAINED POLYNOMIALS Academic Article

abstract

• Establishing Markov-type inequalities for the derivatives of polynomials with restricted zeros was initiated by P. Erds [3] in 1940. Since then several authors proved similar estimates for the derivatives of polynomials of special type. In this paper we work on [-1, 1] and obtain Markov-type estimates for the derivatives of polynomials from a rather wide family of classes of constrained polynomials. In some cases the results turn out to be sharp. 1989 Springer-Verlag New York Inc.

authors

• Erdelyi, Tamas

published proceedings

• CONSTRUCTIVE APPROXIMATION

author list (cited authors)

• ERDELYI, T.

citation count

• 10

complete list of authors

• ERDELYI, T

publication date

• December 1989

publisher

• Springer Nature  Publisher

published in

• Constructive Approximation  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4903 Numerical And Computational Mathematics

Digital Object Identifier (DOI)

• 10.1007/BF01889614

start page

• 347

end page

• 356

volume

• 5

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fbf01889614