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<p>The goal of this manuscript is to present a new sequence of Bernstein-Chlodowsky operators. Further, Korovkin approximation theorem and order of approximation are introduced with the aid of modulus of continuity. Voronovskaja-type and quantitative Voronovskaja-type approximation theorems are given to approximate the class of functions which have first- and second-order continuous derivatives. Moreover, direct approximation results are studied. Lastly, statistical properties are investigated.</p>

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ON A NEW SEQUENCE OF BERNSTEIN-CHLODOWSKY OPERATORS AND APPROXIMATION PROPERTIES

  • 期刊论文

  • 发表日期：

    2025年6月28日

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  • Nadeem Rao,
  • Nand Kishor Jha,
  • Mohammad Shahzad

摘要

The goal of this manuscript is to present a new sequence of Bernstein-Chlodowsky operators. Further, Korovkin approximation theorem and order of approximation are introduced with the aid of modulus of continuity. Voronovskaja-type and quantitative Voronovskaja-type approximation theorems are given to approximate the class of functions which have first- and second-order continuous derivatives. Moreover, direct approximation results are studied. Lastly, statistical properties are investigated.