Results 21 to 30 of about 631 (89)
A generalization of Hermite interpolation
International 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
International 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]
Computer 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
Simultaneous Approximation of a Multivariate Function and its Derivatives by Multilinear Splines [PDF]
, 2013 In this paper we consider the approximation of a function by its interpolating multilinear spline and the approximation of its derivatives by the derivatives of the corresponding spline.
Anderson, Ryan +2 more
core +4 more sources
International 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
International 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
Approximation in Sobolev spaces by piecewise affine interpolation [PDF]
, 2013 Functions in a Sobolev space are approximated directly by piecewise affine interpolation in the norm of the space. The proof is based on estimates for interpolations and does not rely on the density of smooth functions.Comment: 6 ...
Adams +14 more
core +2 more sources
Equiconvergence of some sequences of rational functions
International 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]
Computer 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
Voltage transients in thin-film InSb Hall sensor
Results 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