Pith. sign in

REVIEW 1 cited by

Forms of representation of interpolation trigonometric splines

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2407.19275 v1 pith:5FCY6MUL submitted 2024-07-27 math.NA cs.NA

Volodymyr Denysiuk , Lyudmila Rybachuk This is my paper · ORCID
classification math.NAcs.NA
keywords representationtrigonometricformsinterpolationsplinesconsideredb-splinescase
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Three forms of representation of trigonometric interpolation splines are considered, in particular, the representation by the coefficients of the interpolation trigonometric polynomial, the representation by trigonometric B-splines, which are considered in more detail, and the representation by fundamental trigonometric splines. The first and third forms of representation are generalized to the case of non-periodic functions.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Incomplete (even and odd) trigonometric splines in the problems of constructing approximate solutions of second order linear differential equations

    math.NA 2024-11 conditional novelty 4.0 of 10

    A collocation method based on incomplete even and odd trigonometric splines is developed for first boundary value problems of linear ODEs and illustrated on three examples.

Pith tools