Results 11 to 20 of about 77 (77)

A generalization of Hermite interpolation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 719-725, 1997., 1996
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 279-286, 1996., 1994
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]

open access: yesComputer Science Journal of Moldova, 2009
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  

On a subclass of C1 functions for which the Lagrange interpolation yields the Jackson order of approximation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 209-216, 1994., 1993
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 35-39, 1992., 1991
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 221-228, 1992., 1992
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]

open access: yesComputer Science Journal of Moldova, 2011
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 229-234, 1992., 1990
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

open access: yesResults in Physics, 2017
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

Discrete quadratic splines

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 343-348, 1990., 1990
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

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