Approximative properties of the Weierstrass integrals on the classes \( {W}_{\beta}^r{H}^{\alpha } \)

Resumo

The work focuses on the solution of a problem of approximation theory. The task is to investigate approximative properties of the Weierstrass integrals on the classes \( {W}_{\beta}^r{H}^{\alpha } \). We obtain asymptotic equalities for the upper borders of defluxion of functions from the classes \( {W}_{\beta}^r{H}^{\alpha } \) from the Weierstrass integrals.