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April 17, 2026FilomatOpen Access

Convergence properties related to Bézier type of λ-Bernstein Kantorovich shifted knots operators

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Authors

MNMd. NasiruzzamanEAEsmail Alshaban

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Overview

This article introduces new Kantorovich-type operators, demonstrating convergence in Lebesgue spaces and continuity properties.

Key Points

  • The aim is to explore the convergence properties of Kantorovich-type operators based on Schurer Bézier basis functions.
  • Developed Kantorovich-type operators using shifted knots polynomials.
  • Examined convergence in Lebesgue and continuous function spaces.
  • Utilized Peetre's K-functional to derive convergence theorems.
  • Analyzed properties of Korovkin-type approximation.
  • Demonstrated convergence for any 1 ≤ p < ∞ in Lebesgue spaces.
  • Derived several direct approximation theorems for the new operators.
  • Provided numerical examples supported by graphical analysis.

Cite This Study

Nasiruzzaman et al. (2025) studied this question.

synapsesocial.com/papers/69e1cf1b5cdc762e9d8580d6https://doi.org/10.2298/fil2527701n
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