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In this chapter we introduce for the first time the univariate parametrized logistic activated convolution type operators in three kinds. We present their approximation properties, that is the quantitative convergence to the unit operator via the modulus of continuity. We continue with the global smoothness preservation of these operators.

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Degree of Approximation by Parametrized Logistic Activated Convolution Operators

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  • 发表日期：

    2026年

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  • George A. Anastassiou

摘要

In this chapter we introduce for the first time the univariate parametrized logistic activated convolution type operators in three kinds. We present their approximation properties, that is the quantitative convergence to the unit operator via the modulus of continuity. We continue with the global smoothness preservation of these operators.