Results 11 to 20 of about 77 (77)
A generalization of Hermite interpolation
We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
wiley +1 more source
On approximation of functions and their derivatives by quasi‐Hermite interpolation
In this paper, we consider the simultaneous approximation of the derivatives of the functions by the corresponding derivatives of quasi‐Hermite interpolation based on the zeros of (1 − x2)pn(x) (where pn(x)is a Legendre polynomial). The corresponding approximation degrees are given. It is shown that this matrix of nodes is almost optimal.
G. Min
wiley +1 more source
About one algorithm of C2 interpolation using quartic splines [PDF]
The problem of C2 interpolation of a discrete set of data on the interval [a,b] representing the function f using quartic splines is investigated.
Igor Verlan
doaj
We continue the investigation initiated by Mastroianni and Szabados on question whether Jackson′s order of approximation can be attained by Lagrange interpolation for a wide class of functions. Improving a recent result of Mastroianni and Szabados, we show that for a subclass of C1 functions the local order of approximation given by Lagrange ...
Xin Li
wiley +1 more source
On approximation in the Lp‐norm by Hermit interpolation
Lp‐approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of the first kind is considered. The corresponding result of Varma and Prasad [1] is generalized and perfected.
Min Guohua
wiley +1 more source
Equiconvergence of some sequences of rational functions
The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interpolants to a class of functions. Here we obtain analogues of Yuanren′s results for Walsh equiconvergence using rational functions as in Saff and Sharma. We extend this to Hermite interpolation and an earlier result of [1] is improved and corrected.
M. A. Bokhari, A. Sharma
wiley +1 more source
About one algorithm of bidimensional interpolation using splines [PDF]
In the paper an explicit algorithm for the problem of two-dimensional spline interpolation on a rectangular grid is proposed. MSC2000: 41A05, 41A15, 65D05, 65D07.
Igor Verlan
doaj
Interpolation of natural cubic spline
From the result in [1] it follows that there is a unique quadratic spline which bounds the same area as that of the function. The matching of the area for the cubic spline does not follow from the corresponding result proved in [2]. We obtain cubic splines which preserve the area of the function.
Arun Kumar, L. K. Govil
wiley +1 more source
Voltage transients in thin-film InSb Hall sensor
The work is reached to study temperature transients in thin-film Hall sensors. We experimentally study InSb thin-film Hall sensor. We find transients of voltage with amplitude about 10 μV on the sensor ports after current switching.
Alexey Bardin +3 more
doaj +1 more source
In the present paper, we define a new class of discrete splines and study the existence, uniqueness, and convergence properties of discrete quadratic splines satisfying the Mean Averaging Condition.
Surendra Singh Rana
wiley +1 more source

