TY - JOUR
AU - S. Ya. Yanchenko
PY - 2016/12/25
Y2 - 2022/10/05
TI - Order estimates for the approximative characteristics of functions from the
classes $S_{p,θ}^{Ω} B(R^d)$ with a given majorant of generalized mixed modules of smoothness in the uniform metric
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 68
IS - 12
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1955
AB - We establish the exact-order estimates of approximation for the classes $S_{p,θ}^{Ω} B$ of functions of several variables defined on$R^d$ in the norm of $L_{\infty} (R^d)$ by entire functions of exponential type with supports of their Fourier transforms in the setsgenerated by the level surfaces of a function $\Omega$.
ER -