Scholarlink

Here we treat the quantitative multivariate approximation of perturbed generalized logistic activated singular integral operators to the unit operator. The engaged neural network activation function is both parametrized and deformed and the related kernel is a density function on \(\mathbb {R}^{N}\) . We exhibit uniform and \(L_{p}\) , \(p\ge 1\) , approximations via Jackson type inequalities involving the first \(L_{p}\) modulus of smoothness, \(1\le p\le \infty \) . Differentiability of our multivariate functions is covered extensively in our approximations.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Perturbed Generalized Logistic Activated Singular Integrals Multivariate Approximation with Rates

  • 章节

  • 发表日期：

    2026年

查看全文
  • George A. Anastassiou

摘要

Here we treat the quantitative multivariate approximation of perturbed generalized logistic activated singular integral operators to the unit operator. The engaged neural network activation function is both parametrized and deformed and the related kernel is a density function on \(\mathbb {R}^{N}\) . We exhibit uniform and \(L_{p}\) , \(p\ge 1\) , approximations via Jackson type inequalities involving the first \(L_{p}\) modulus of smoothness, \(1\le p\le \infty \) . Differentiability of our multivariate functions is covered extensively in our approximations.