Approximation by symmetrized and perturbed hyperbolic tangent activated convolutions as positive linear operators
DOI:
https://doi.org/10.64700/mmm.73Keywords:
Symmetrized and perturbed hyperbolic tangent, convolution operator, quantitative approximation, simultaneous approximation, iterated approximation, positive linear operatorAbstract
In this work, we studied further the univariate symmetrized and perturbed hyperbolic tangent activated convolution type operators of three kinds. Here, this is done with the method of positive linear operators. Their new approximation properties are established by the quantitative convergence to the unit operator using the modulus of continuity. It is also studied the related simultaneous approximation, as well as the iterated approximation.
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