Approximative characteristics of functions from the classes \( {S}_{p,\theta}^{\varOmega } \)B(ℝd) with a given majorant of mixed moduli of continuity

详细

We obtain the exact-by-order estimates of the approximation of functions from the classes \( {S}_{p,\theta}^{\varOmega } \)B(ℝ^d) in the space L_q(ℝ^d), 1 < p < q < ∞, by entire functions of the exponential type with supports of their Fourier transforms in sets generated by the level surfaces of a function Ω.