Jackson-Type Theorem on Approximation by Algebraic Polynomials in the Uniform Metric with Laguerre Weight

I. I. Sharapudinov, when studying the approximation properties of partial sums of a special series in Laguerre polynomials, introduced a weighted best approximation characteristic \(E_n(f,u_r)\) that depends on a parameter \(r\) . In the present paper, we prove a Jackson-type theorem for this characteristic for \(r=1\) .