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Abstract <p> We consider questions on approximation of a function and its derivatives by smoothingSteklov functions. We obtain formulas for numerical differentiation and show that they can beused for construction of integro splines on a uniform mesh. We illustrate efficiency of our methodwith numerical examples.</p>

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Applications of the Steklov Smoothing Method to Numerical Differentiation and Construction of Local Quasi-Interpolating Splines

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • T. Zhanlav,
  • Yu. S. Volkov,
  • R.-O. Mijiddorj

摘要

Abstract

We consider questions on approximation of a function and its derivatives by smoothingSteklov functions. We obtain formulas for numerical differentiation and show that they can beused for construction of integro splines on a uniform mesh. We illustrate efficiency of our methodwith numerical examples.