Scholarlink

<p>The goal of this manuscript is to introduce a new sequence as (<i>σ</i>, <i>μ</i>)-Stancu-Schurer operators. Further, some estimates are calculated as test functions and central moments. In the next section, rapidity of convergence and order of approximation are studied in terms of first and second order modulus of continuity. Voronovskaja-type approximation result is investigated to approximate the class of functions which has first and second order continuous derivatives. Moreover, local approximation properties are studied in several functional spaces. To demonstrate the effectiveness and applicability of the proposed operators, we present several illustrative examples and visualize the results graphically.</p>

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

A study of (σ, μ)-Stancu-Schurer as a new generalization and approximations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月1日

查看全文
  • Nadeem Rao,
  • Mohammad Farid,
  • Nand Kishor Jha

摘要

The goal of this manuscript is to introduce a new sequence as (σ, μ)-Stancu-Schurer operators. Further, some estimates are calculated as test functions and central moments. In the next section, rapidity of convergence and order of approximation are studied in terms of first and second order modulus of continuity. Voronovskaja-type approximation result is investigated to approximate the class of functions which has first and second order continuous derivatives. Moreover, local approximation properties are studied in several functional spaces. To demonstrate the effectiveness and applicability of the proposed operators, we present several illustrative examples and visualize the results graphically.