On the Degree of Approximation of Functions Belonging to the Lipschitz Class by (E, q)(C, α, β) Means

[摘要] In this paper two generalized theorems on the degree of approximation of conjugate functions belonging to the Lipschitz classes of the type $\text{Lip}\alpha $, $0<\alpha \leq 1$, and $W(L_{p},\xi (t))$ are proved. The first one gives the degree of approximation with respect to the $L_{\infty}$-norm, and the second one with respect to $L_{p}$-norm, $p\geq 1$. In addition, a correct condition in proving of the second mentioned theorem is employed.

[学科分类] 公共、环境与职业健康