On Approximation by Hyperbolic Splines


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Abstract

The paper considers the minimal hyperbolic splines and their properties. Formulas for constructing quadratic splines and the corresponding biorthogonal (dual) functionals are obtained. Numerical results, demonstrating how approximation quality can be improved by using hyperbolic splines and changing control parameters, are presented.

About the authors

E. K. Kulikov

St. Petersburg State University

Author for correspondence.
Email: egor.k.kulikov@gmail.com
Russian Federation, St. Petersburg

A. A. Makarov

St. Petersburg State University

Email: egor.k.kulikov@gmail.com
Russian Federation, St. Petersburg

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