Year: 2025
Type: article
Abstract: We prove a number of properties of polynomial splines from the $L_p$ space on the real line, such as inclusion in other $L_q$ spaces and behavior at infinity of splines and their derivatives. Separately, we find the general form of a set of functions orthogonal to the space of polynomial splines with arbitrary smoothness.
Source: Researches in Mathematics
DOI: 10.15421/242531
Author: A.A. Selivanov
Institution: Oles Honchar Dnipro National University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $20
OpenAlex ID: W7127438802
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