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March 10, 2026Journal of MathematicsOpen Access

Bézier Form of Quantum λ ‐Bernstein–Schurer Operators With Associated Approximation Properties

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Authors

JAJabr AljedaniMNMd. NasiruzzamanSMS. A. Mohiuddine

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Overview

Schurer-type quantum operators enhance approximation in mathematical functions, indicating significant convergence behavior.

Key Points

  • This research aims to develop a Bézier form of quantum λ-Bernstein operators and investigate their approximation properties.
  • Introduced a Bézier form of quantum λ-Bernstein operators using Schurer-type modifications.
  • Applied Korovkin’s theorem to assess global and local approximation results.
  • Analyzed convergence behavior using standard and second-order moduli of continuity.
  • Demonstrated global and local approximation capabilities of the new operators.
  • Established estimates involving Lipschitz classes and Peetre’s K-functional for convergence behavior.

Cite This Study

Aljedani et al. (2026) studied this question.

synapsesocial.com/papers/69af954870916d39fea4ca55https://doi.org/10.1155/jom/6615193
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