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May 13, 2026MathematicsOpen Access

MQ Quasi-Interpolation Operators: Adaptive Construction and Rigorous Approximation Bound Estimations

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Authors

LGLixia Gao

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Overview

Novel quasi-interpolation operators show optimal approximation error bounds, indicating robust numerical performance.

Key Points

  • This research aims to construct new multiquadric quasi-interpolation operators and assess their approximation properties.
  • Developed four novel multiquadric quasi-interpolation operators
  • Conducted rigorous analysis of the properties and approximation error
  • Derived optimal upper and lower bounds for the approximation error
  • Performed numerical experiments to validate theoretical results
  • The proposed operators exhibit effective approximation capabilities
  • The numerical results closely match the theoretical analysis
  • Optimal bounds for approximation error are established

Cite This Study

Lixia Gao (2026) studied this question.

synapsesocial.com/papers/6a03cbbe1c527af8f1ecf736https://doi.org/10.3390/math14101597
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