scholarly journals Convergence of derivative of (0, 2) interpolatory polynomial

2018 ◽  
Keyword(s):  
Interpolatory Polynomial

An Improved Four Point Interpolatory Subdivision Scheme

2013 ◽  
Vol 380-384 ◽  
pp. 1555-1557
Author(s):  
Xin Fen Zhang ◽  
Yu Zhen Liu
Keyword(s):  
Chord Length ◽  
Subdivision Scheme ◽  
Shape Preserving ◽  
Curve Interpolation ◽  
Interpolatory Polynomial ◽  
Interpolatory Subdivision

In this paper we propose a new kind of geometry driven subdivision scheme for curve interpolation. We use cubic Lagrange interpolatory polynomial to construct a new point, selecting parameters by accumulated chord length method. The new scheme is shape preserving. It can overcome the shortcoming of the initial four point subdivision scheme proposed.

scholarly journals Potra-Pták Iterative Method with Memory

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Taher Lotfi ◽  
Stanford Shateyi ◽  
Sommayeh Hadadi
Keyword(s):  
Iterative Method ◽  
Free Parameter ◽  
Order Of Convergence ◽  
The Third ◽  
With Memory ◽  
Interpolatory Polynomial

The problem is to extend the method proposed by Soleymani et al. (2012) to a method with memory. Following this aim, a free parameter is calculated using Newton’s interpolatory polynomial of the third degree. So the R-order of convergence is increased from 4 to 6 without any new function evaluations. Numerically the extended method is examined along with comparison to some existing methods with the similar properties.

scholarly journals Convergence of Interpolatory Polynomial Between Lagrange and Hermite

2018 ◽  
Vol 17 (1) ◽  
pp. 23-28
Author(s):  
Swarnima Bahadur ◽  
◽  
Varun Varun
Keyword(s):  
Interpolatory Polynomial

scholarly journals Two Bi-Accelerator Improved with Memory Schemes for Solving Nonlinear Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
J. P. Jaiswal
Keyword(s):  
Theoretical Result ◽  
Nonlinear Equations ◽  
Order Of Convergence ◽  
Order Convergence ◽  
Derivative Free ◽  
Derivative Free Methods ◽  
Memory Schemes ◽  
With Memory ◽  
Interpolatory Polynomial

The present paper is devoted to the improvement of theR-order convergence of with memory derivative free methods presented by Lotfi et al. (2014) without doing any new evaluation. To achieve this aim one more self-accelerating parameter is inserted, which is calculated with the help of Newton’s interpolatory polynomial. First theoretically it is proved that theR-order of convergence of the proposed schemes is increased from 6 to 7 and 12 to 14, respectively, without adding any extra evaluation. Smooth as well as nonsmooth examples are discussed to confirm theoretical result and superiority of the proposed schemes.

scholarly journals Bounded Quasi-Interpolatory Polynomial Operators

1999 ◽  
Vol 96 (1) ◽  
pp. 67-85 ◽  
Author(s):  
H.N. Mhaskar ◽  
J. Prestin
Keyword(s):  
Polynomial Operators ◽  
Interpolatory Polynomial

Saturation of an interpolatory polynomial operator

1986 ◽  
Vol 47 (3-4) ◽  
pp. 333-340 ◽  
Author(s):  
A. K. Varma ◽  
P. Vértesi
Keyword(s):  
Polynomial Operator ◽  
Interpolatory Polynomial
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