Bernstein-Jackson-type inequalities with exact constants in Orlicz spaces
Bernstein-Jackson-type inequalities with exact constants in Orlicz spaces
We establish the Bernstein and Jackson type inequalities with exact constants for estimations of best approximations by exponential type functions in Orlicz spaces $L_M(\mathbb{R}^n)$. For this purpose, we use a special scale of approximation spaces $\mathcal{B}_\tau^s(M)$ that are interpolation spaces between the subspace $\mathscr{E}_M$ of exponential type functions and the …