APPROXIMATION OF (ψ, β)-DIFFERENTIABLE FUNCTIONS DEFINED ON THE REAL AXIS BY WEIERSTRASS OPERATORS
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Springer New York Consultants Bureau
Abstract
We obtain asymptotic equalities for the upper bounds of approximations by Weierstrass operators on the functional classes C^{\psi}_{\beta,infty} and L^{\psi}_{\beta,1} in the metrics of the spaces C and L, respectively
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Kal'chuk I.V. Approximation of (ψ, β) -differentiable functions defined on the real axis by Weierstrass operators// Ukrainian mathematical journal, Vol. 59, No. 9, 2007, P. 1342–1363