منابع مشابه
Convergence of a Class of Deficient Discrete Cubic Splines
In the present paper, the existence and uniqueness of deficient discrete cubic spline interpolant by matching the given function and first order difference at the intermediate points between successive mesh points for a uniform mesh has been discussed and also a error estimate concerning this deficient discrete cubic spline interpolant is obtained
متن کاملConstrained Interpolation via Cubic Hermite Splines
Introduction In industrial designing and manufacturing, it is often required to generate a smooth function approximating a given set of data which preserves certain shape properties of the data such as positivity, monotonicity, or convexity, that is, a smooth shape preserving approximation. It is assumed here that the data is sufficiently accurate to warrant interpolation, rather than least ...
متن کاملLeast squares cubic splines without B-splines
There are thousands of articles published on variants of splines, including least squares cubic splines. One of the first least squares articles was de Boor and Rice [1], and a comprehensive explanatory textbook is Dierckx [2]. Unfortunately, every example in the literature and on the web of a least squares cubic spline makes use of B-splines. While B-splines have a certain elegance, they are s...
متن کاملSmoothing with Cubic Splines
A spline function is a curve constructed from polynomial segments that are subject to conditions or continuity at their joints. In this paper, we shall present the algorithm of the cubic smoothing spline and we shall justify its use in estimating trends in time series. Considerable effort has been devoted over several decades to developing the mathematics of spline functions. Much of the intere...
متن کاملReliability Estimation Based on Cubic Splines
software quality attribute and Software reliability estimation is a hard problem to solve accurately. However for management of software quality and standard practice of the organization, accurate reliability estimation is important. Non-homogeneous Poisson Process (NHPP) models and Artificial Neural Network (ANN) models are among the most important software reliability growth models. In this p...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1988
ISSN: 0034-5318
DOI: 10.2977/prims/1195174866