Abstract:
The paper investigates the approximation properties of linear means of Fourier series generated by repeated application of the de la Vallйe Poussin summation method. Asymptotic formulas for the exact upper bounds of deviations of the r-repeated de la Vallйe Poussin means on the classes of Poisson integrals of functions with bounded generalized derivatives are obtained. The derived relations, under certain conditions, represent asymptotically exact equalities.
Description:
Olga Rovenskaі, Maryna Dziuba. Approximation of poisson integrals by r-repeated de la vallee poussin sums // International journal of mathematics and computer research, Volume 12, Issue 10, (2024), 4508–4510.
