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In this chapter we construct a new sequence of generalized nonlinear Bernstein-type operators. For these operators, we prove a Kelisky-Rivlin type theorem and determine their convergence rate. A fixed point type theorem and a generalized JS-contraction mapping are introduced.

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Convergence Results for Nonlinear Generalized Bernstein Type Operators

  • 章节

  • 发表日期：

    2025年

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  • Sahil Berwal,
  • Arun Kajla

摘要

In this chapter we construct a new sequence of generalized nonlinear Bernstein-type operators. For these operators, we prove a Kelisky-Rivlin type theorem and determine their convergence rate. A fixed point type theorem and a generalized JS-contraction mapping are introduced.