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Shape Preserving Piecewise KNR Fractional Order Biquadratic C 2 Spline
Author(s) -
Syed Khawar Nadeem Kirmani,
Muhammad Bilal Riaz,
Fahd Jarad,
Hayder Natiq Jasim,
Aytekin Enver
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/9981153
Subject(s) - mathematics , piecewise , monotonic function , spline (mechanical) , order (exchange) , combinatorics , mathematical analysis , structural engineering , engineering , finance , economics
In a recent article, a piecewise cubic fractional spline function is developed which produces C 1 continuity to given data points. In the present paper, an interpolant continuity class C 2 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.

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