LACUNARY POLYNOMIAL INTERPOLATION BY g-SPLINE: (0, 1, 2, 5) CASE
By
Poornima Tiwari
Department of Science, The Bhopal School of Social Sciences, Bhopal, Madhya Pradesh, India-462024
Email: poornimatiwari31@yahoo.com
(Received: May 01, 2024; In format: July 09, 2025; Revised: April 02, 2026; Accepted: April 08, 2026)
DOI: https://doi.org/10.58250/jnanabha.2026.56109
Abstract
The author focuses on Lacunary Polynomial Interpolation (LPI). This study proves the existence and uniqueness of the g-spline of degree six for LPI, which interpolates (0, 1, 2, 5) data. In addition to verifying the interpolation of data, error bounds associated with this method are derived and analyzed.
2020 Mathematical Sciences Classification: 41A15, 65D05 and 65D07.
Keywords and Phrases: LPI, Splines, g-splines, Error bounds.