aShenyang Institute of Engineering, Shenyang, China bHuafu Middle School, Shenzhen, China
Аннотация:
Some issues concerning expansions of functions in Fourier–Legendre series is considered in $L_2[-1,1]$. In particular, the rate of their convergence in the classes of functions characterized by the generalized modulus of continuity are estimated, and estimates of the remainder terms are obtained.
Ключевые слова:Fourier–Legendre series, modulus of continuity, best approximation, estimates of remainder terms, Kolmogorov
$n$-width.
