Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  624.26011
Autor:  Erdös, Paul; Varma, A.K.
Title:  An extremum problem concerning algebraic polynomials. (In English)
Source:  Acta Math. Hung. 47, 137-143 (1986).
Review:  Sharp estimates of Markov type for derivatives of the polynomials pn(x) = sumnk = 0ak(1+x)k(1-x)n-k with ak \geq 0 in L2-norm on [-1,1] are given. This extends some earlier results by G.G.Lorentz and the second author.
Reviewer:  W.Plesniak
Classif.:  * 26D05 Inequalities for trigonometric functions and polynomials
                   26C05 Polynomials: analytic properties (real variables)
Keywords:  Markov's inequality for polynomials

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