Estimating the Error of Local Interpolation Spline Functions in the Class of Functions and Creating a Digital Processing Model of Geophysical Signals.
Year: 2025
Type: article
Abstract: In the modern scientific landscape, mathematical modeling plays a vital role in addressing challenges across various industrial domains. Among these, spline functions have emerged as effective tools, offering several advantages over classical interpolation methods [1,3,9]. This study focuses on error analysis and practical applications of a local interpolation cubic spline, constructed using a linear combination of parabolas with two shared points. Using experimentally acquired geophysical signal data, the error behavior of the spline model is examined through numerical analysis and graphical validation. The results confirm the model’s effectiveness in accurate signal reconstruction.
Authors: Qobilov Sirojiddin Sherqulovich,, Muminov Elyor Normurodovich
Institution: Tashkent University of Information Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W6949608878
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