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<p>This paper focuses on developing a modified version of the Post-Widder operators using truncated exponential polynomials. We explore the uniform convergence of these operators with the function <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12190_2025_2580_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\tilde g\)</EquationSource> </InlineEquation> in the Bohman-Korovkin framework and examine their approximation properties through various estimation tools, including the modulus of continuity and approximation in weighted spaces. Subsequently, we address a quantitative Voronovskaya-type theorem and a Grüss-Voronovskaya-type theorem. The theoretical results are then validated through numerical and graphical examples, utilizing different parameter choices.</p>

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Post-widder type operators through the lens of truncated exponential polynomials

  • 期刊论文

  • 发表日期：

    2025年6月30日

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  • Nusrat Raza,
  • Manoj Kumar,
  • M. Mursaleen

摘要

This paper focuses on developing a modified version of the Post-Widder operators using truncated exponential polynomials. We explore the uniform convergence of these operators with the function \(\tilde g\) in the Bohman-Korovkin framework and examine their approximation properties through various estimation tools, including the modulus of continuity and approximation in weighted spaces. Subsequently, we address a quantitative Voronovskaya-type theorem and a Grüss-Voronovskaya-type theorem. The theoretical results are then validated through numerical and graphical examples, utilizing different parameter choices.