On a Problem of Best Uniform Approximation and a Polynomial Inequality of Visser
Volume 62 / 2014
Bulletin Polish Acad. Sci. Math. 62 (2014), 43-48
MSC: 30D15, 42A05, 42A10, 42A75.
DOI: 10.4064/ba62-1-5
Abstract
In this paper, a generalization of a result on the uniform best approximation of $\alpha \cos{n x} + \beta \sin{n x}$ by trigonometric polynomials of degree less than $n$ is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.