Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline
In a recent article, a piecewise cubic fractional spline function is developed which produces C1 continuity to given data points. In the present paper, an interpolant continuity class C2 is preserved which gives visually pleasing piecewise curves. The behavior of the resulting representations is ana...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9981153 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564116342964224 |
|---|---|
| author | Syed Khawar Nadeem Kirmani Muhammad Bilal Riaz Fahd Jarad Hayder Natiq Jasim Aytekin Enver |
| author_facet | Syed Khawar Nadeem Kirmani Muhammad Bilal Riaz Fahd Jarad Hayder Natiq Jasim Aytekin Enver |
| author_sort | Syed Khawar Nadeem Kirmani |
| collection | DOAJ |
| description | In a recent article, a piecewise cubic fractional spline function is developed which produces C1 continuity to given data points. In the present paper, an interpolant continuity class C2 is preserved which gives visually pleasing piecewise curves. The behavior of the resulting representations is analyzed intrinsically with respect to variation of the shape control parameters t and s. The data points are restricted to be strictly monotonic along real line. |
| format | Article |
| id | doaj-art-36ba6dfd779844cc9acbb05fed1d5d6e |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-36ba6dfd779844cc9acbb05fed1d5d6e2025-02-03T01:11:40ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/9981153Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 SplineSyed Khawar Nadeem Kirmani0Muhammad Bilal Riaz1Fahd Jarad2Hayder Natiq Jasim3Aytekin Enver4Department of MathematicsDepartment of MathematicsDepartment of MathematicsFaculty of Science for WomenDepartment of MathematicsIn a recent article, a piecewise cubic fractional spline function is developed which produces C1 continuity to given data points. In the present paper, an interpolant continuity class C2 is preserved which gives visually pleasing piecewise curves. The behavior of the resulting representations is analyzed intrinsically with respect to variation of the shape control parameters t and s. The data points are restricted to be strictly monotonic along real line.http://dx.doi.org/10.1155/2021/9981153 |
| spellingShingle | Syed Khawar Nadeem Kirmani Muhammad Bilal Riaz Fahd Jarad Hayder Natiq Jasim Aytekin Enver Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline Journal of Mathematics |
| title | Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline |
| title_full | Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline |
| title_fullStr | Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline |
| title_full_unstemmed | Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline |
| title_short | Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline |
| title_sort | shape preserving piecewise knr fractional order biquadratic c2 spline |
| url | http://dx.doi.org/10.1155/2021/9981153 |
| work_keys_str_mv | AT syedkhawarnadeemkirmani shapepreservingpiecewiseknrfractionalorderbiquadraticc2spline AT muhammadbilalriaz shapepreservingpiecewiseknrfractionalorderbiquadraticc2spline AT fahdjarad shapepreservingpiecewiseknrfractionalorderbiquadraticc2spline AT haydernatiqjasim shapepreservingpiecewiseknrfractionalorderbiquadraticc2spline AT aytekinenver shapepreservingpiecewiseknrfractionalorderbiquadraticc2spline |