A New Class of 2q-Point Nonstationary Subdivision Schemes and Their Applications

被引：3

作者：

Ghaffar, Abdul ^{[1
]}

Bari, Mehwish ^{[2
]}

Ullah, Zafar ^{[3
]}

Iqbal, Mudassar ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[4
]}

Baleanu, Dumitru ^{[5
,6
]}

机构：

[1] BUITEMS, Dept Math Sci, Quetta 87300, Pakistan

[2] NCBA&E, Dept Math, Bahawalpur 63100, Pakistan

[3] Univ Educ Lahore, Dept Math, Campus DG Khan, Dera Ghazi Khan 54770, Pakistan

[4] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

[5] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey

[6] Inst Space Sci, Magurele 76900, Romania

来源：

MATHEMATICS | 2019年 / 7卷 / 07期

关键词：

stationary; nonstationary; subdivision scheme; continuity; curvature and torsion;

D O I：

10.3390/math7070639

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main objective of this study is to introduce a new class of 2q-point approximating nonstationary subdivision schemes (ANSSs) by applying Lagrange-like interpolant. The theory of asymptotic equivalence is applied to find the continuity of the ANSSs. These schemes can be nicely generalized to contain local shape parameters that allow the user to locally adjust the shape of the limit curve/surface. Moreover, many existing approximating stationary subdivision schemes (ASSSs) can be obtained as nonstationary counterparts of the proposed ANSSs.

引用

页数：21

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