Scholarlink

<p>This paper introduces a new class of parametric Baskakov–Schurer–Szász operators based on sequences of continuous functions on <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( [0,\infty )\)</EquationSource> </InlineEquation>. These operators extend the classical Baskakov–Schurer–Szász framework by incorporating a novel parameter and function sequence. We establish a Korovkin-type theorem, prove a Grüss–Voronovskaya-type result, and determine the rate of convergence. Additionally, we analyze these generalizations within weighted spaces. The final section is dedicated to proving shape-preserving properties, demonstrating that our results encompass the classical operators as a special case.</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

Some Approximation Properties of New Kind of Baskakov–Schurer–Szász Operators

  • 期刊论文

  • 发表日期：

    2026年5月15日

查看全文
  • Md. Nasiruzzaman,
  • Mohammad Mursaleen,
  • Naim L. Braha,
  • Toufik Mansour

摘要

This paper introduces a new class of parametric Baskakov–Schurer–Szász operators based on sequences of continuous functions on \( [0,\infty )\) . These operators extend the classical Baskakov–Schurer–Szász framework by incorporating a novel parameter and function sequence. We establish a Korovkin-type theorem, prove a Grüss–Voronovskaya-type result, and determine the rate of convergence. Additionally, we analyze these generalizations within weighted spaces. The final section is dedicated to proving shape-preserving properties, demonstrating that our results encompass the classical operators as a special case.