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...

Full description

Saved in:
Bibliographic Details
Main Authors: Syed Khawar Nadeem Kirmani, Muhammad Bilal Riaz, Fahd Jarad, Hayder Natiq Jasim, Aytekin Enver
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