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On some approximation properties of Gauss-Weierstrass singular operators - MaRDI portal

On some approximation properties of Gauss-Weierstrass singular operators (Q2146235)

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On some approximation properties of Gauss-Weierstrass singular operators
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    On some approximation properties of Gauss-Weierstrass singular operators (English)
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    16 June 2022
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    Approximation theorems are established for a function continuous in the neighborhood of a point in \((-\infty,\infty)\). Upper bounds are obtained for the function approximations by their Gauss-Weierstrass singular operators in terms of a majorant function for the first- and second-order continuity moduli.
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    Gauss-Weierstrass singular operator
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    continuity modulus
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    approximation rate
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    direct approximation theorem
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