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February 14, 2026MathematicsOpen Access

Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators

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Authors

MNMd. NasiruzzamanMFMohammad FaridHÇHarun ÇİÇEK

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Overview

Examines approximation properties in functions using Kantorovich Bernstein operators, suggesting effective convergence methods.

Key Points

  • The aim is to explore the approximation properties of the Kantorovich modified Schurer type (λ,q)-Bernstein operators.
  • Presentation of Kantorovich modification of Schurer (λ,q)-Bernstein operators.
  • Application of Korovkin's theorem for approximation properties.
  • Analysis of convergence for functions in Peetre's K-functional and Lipschitz maximum.
  • Establishment of multiple local and global approximation properties.
  • Calculation of convergence properties with classical and second-order moduli of continuity.
  • Graphical and numerical results support the theoretical findings.

Cite This Study

Nasiruzzaman et al. (2026) studied this question.

synapsesocial.com/papers/699011a12ccff479cfe58839https://doi.org/10.3390/math14040644
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Also Consider

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  1. 1Convergence of Bézier type (λ,q)-Bernstein-Kantorovich shifted knots operators2025
  2. 2Approximation by Bézier type associated shifted knots of (λ, q)-Bernstein operators2025
  3. 3Bézier Form of Quantum <i>λ</i> ‐Bernstein–Schurer Operators With Associated Approximation Properties2026
  4. 4Convergence properties related to Bézier type of λ-Bernstein Kantorovich shifted knots operators2025
  5. 5Approximation by Kantorovich λ-Bernstein operators under shifted knot frameworks: numerical analysis and graphical study2026