Abstract
Abstract Approximations of functions by singular integrals have numerous applications in various fields of mathematics. Approximations of functions by singular integrals are studied intensively along with other issues in theory of functions. In their papers P.L. Butzer and R.G. Mamedov study convergence order of singular integrals in generating functions at separate characteristic points and metric in the space p L on bounded and unbounded domains. Important theorems on asymptotic value of approximation of functions by singular integrals are obtained in these papers. Numerical investigations of different authors were devoted to convergence and convergence of singular integrals, approximation of functions by linear operators.
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