Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients
Abstract
We calculate the least upper bounds of pointwise and uniform approximations for classes of 2π-periodic functions expressible as convolutions of an arbitrary square summable kernel with functions, which belong to the unit ball of the space L2, by linear polynomial methods constructed on the basis of their Fourier-Lagrange coefficients.
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