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<p>In this work are studied in detail the multivariate symmetrized and perturbed generalized logistic activated convolution type operators of three types. This is done by the method of positive linear operators. Their alternative approximation properties are established by the quantitative convergence to the unit operator using the modulus of continuity. It is also studied the related multivariate simultaneous approximation, as well as the multivariate iterated approximation.</p>

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Complete approximation by symmetrized and perturbed generalized logistic activated multidimensional convolutions in positive linear framework

  • 期刊论文

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  • 发表日期：

    2025年7月22日

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  • George A. Anastassiou

摘要

In this work are studied in detail the multivariate symmetrized and perturbed generalized logistic activated convolution type operators of three types. This is done by the method of positive linear operators. Their alternative approximation properties are established by the quantitative convergence to the unit operator using the modulus of continuity. It is also studied the related multivariate simultaneous approximation, as well as the multivariate iterated approximation.