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We calculate the least upper bounds of pointwise and uniform approximationsfor classes of $2\pi$-periodic functions expressible as convolutions of anarbitrary square summable kernel with functions, which belong to the unit ballof the space $L_2$, by linear polynomial methods constructed on the basis oftheir Fourier-Lagrange coefficients.

Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients