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Voronovskaya Type Asymptotic Expansions for the Approximation by Symmetrized and Perturbed Hyperbolic Tangent Activated Convolution Type Operators, Ordinary and Fractional Approaches |
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PP: 367-396 |
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doi:10.18576/pfda/110211
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Author(s) |
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George A. Anastassiou,
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Abstract |
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| Here we study further the symmetrized and perturbed hyperbolic tangent
activated convolution type operators approximation properties. We derive
Voronovskaya type asymptotic expansions for the errors of these
approximations. We cover the cases of univariate: basic, Kantorovich and
quadrature operators. We present ordinary and fractional results. At the end
we give related simultaneous Voronovskaya type asymptotic expansions. Shape
preservation via these operators is discussed too. |
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