@article{vakarchuk2016,
author = {Vakarchuk, Sergey B.},
title = {Meansquare Approximation of Function Classes, Given on the all Real Axis R by the Entire Functions of Exponential Type},
year = {2016},
month = {9},
volume = {6},
pages = {1--12},
journal = {International Journal of Advanced Research in Mathematics},
doi = {10.18052/www.scipress.com/IJARM.6.1},
keywords = {Best Approximations, Entire Function of Exponential Type, Majorant, Mean v-Width, K-Functional},
abstract = {K-functionals K (f, t, L2(R), L2$\beta$(R), which defined by the fractional derivatives of order $\beta$>0, have been considered in the space L2(R). The relation K (f, t$\beta$, L2(R), L2$\beta$(R) ≈ $\omega$$\beta$ (f, t) (t>0) was obtained in the sense of the weak equivalence, where $\omega$$\omega$$\beta$ (f, t) is the module of continuity of the fractional order $\beta$ for a function f є L2(R). Exact values of the best approximation by entire functions of exponential type v∏, v є (0, ∞) have been computed for the classes of functions, given by the indicated K-functionals and majorants $\Psi$ satisfying specific restriction. Kolmogorov, Bernsteinand linear mean v-widths were obtained for indicated classes of functions.}
}