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<p>In this present note, we construct Riemann-Liouville type fractional Stancu-Kantorovich type operators based on two parameters. Firstly, we establish approximation properties using modulus of continuity, Peetre’s K-functionals, Ditzian-Totik modulus of smoothness and Lipschitz class of functions. Further, we study weighted approximation and present a Voronovskaja type theorem, quantitative Voronovskaja type theorem and Grüss Voronovskaja type theorem. Finally, we confirm the validity of our theoretical results by generating graphical representations using the Maple software.</p>

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Approximation by Riemann-Liouville Fractional Kantorovich type Operators

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Priya Sehrawat,
  • Arun Kajla

摘要

In this present note, we construct Riemann-Liouville type fractional Stancu-Kantorovich type operators based on two parameters. Firstly, we establish approximation properties using modulus of continuity, Peetre’s K-functionals, Ditzian-Totik modulus of smoothness and Lipschitz class of functions. Further, we study weighted approximation and present a Voronovskaja type theorem, quantitative Voronovskaja type theorem and Grüss Voronovskaja type theorem. Finally, we confirm the validity of our theoretical results by generating graphical representations using the Maple software.