Exact Constant in Dzyadyk’s Inequality for the Derivative of an Algebraic Polynomial-Reference-Cited by-同舟云学术

Exact Constant in Dzyadyk’s Inequality for the Derivative of an Algebraic Polynomial

Published:2017-10 Issue:5 Volume:69 Page:725-733
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Halan V. D.,Shevchuk I. O.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s11253-017-1390-y/fulltext.html

Reference4 articles.

1. V. K. Dzyadyk, “On the constructive characteristic of functions satisfying the condition Lip α(0 < α < 1) on a finite segment of the real axis,” Izv. Akad. Nauk SSSR, Ser. Mat. , 20 , 623–642 (1966).

2. V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).

3. S. N. Bernstein, “On the estimates for the derivatives of polynomials,” in: Collected Works [in Russian], Vol. 1, Izd. Akad. Nauk SSSR, Moscow (1952), pp. 497–499.

4. V. K. Dzyadyk, Approximating Methods for the Solution of Differential and Integral Equations [in Russian], Naukova Dumka, Kiev (1988).

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Reverse Dzyadyk Inequality for Polynomials with Zeros on a Closed Interval;Mathematical Notes;2022-12

2. On exact constant in Dzyadyk inequality for the derivative of an algebraic polynomial;Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics;2022

3. Piecewise-Polynomial Approximations for the Solutions of Impulsive Differential Equations;Ukrainian Mathematical Journal;2019-07