Optimal Alternative to the Akima's Method of Smooth Interpolation Applied in Diabetology

Journal Title: Surveys in Mathematics and its Applications - Year 2006, Vol 1, Issue 0

Abstract

It is presented a new method of cubic piecewise smooth interpolation applied to experimental data obtained by glycemic profile for diabetics. This method is applied to create a soft useful in clinical diabetology. The method give an alternative to the Akima's procedure of the derivatives computation on the knots from [Akima, J. Assoc. Comput. Mach., 1970] and have an optimal property.

Authors and Affiliations

Alexandru Mihai Bica, Marian Degeratu, Luiza Demian

Keywords

Related Articles

Existence and nonexistence results for second-order Neumann boundary value problem

In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem <CENTER>-u"+Mu=f(t,u), t∈(0,1) </CENTER>with Neumann boundary conditions <C...

Multivalued Perov-type theorems in generalized metric spaces

In this paper we present some fixed point results for multivalued operators, which extend the ones given by A.I. Perov and A.V. Kribenko, as well as some recent contributions due to A. Bucur, L. Guran and A. Petruşel.

Fixed time impulsive differential inclusions

In the paper we study weak and strong invariance of differential inclusions with fixed time impulses and with state constraints.We also investigate some properties of the solution set of impulsive system without state co...

A class of analytic functions based on convolution

We introduce a class <I>TS</I><SUB>p</SUB><SUP>g</SUP>(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z)=z+<I>Σ</I...

On the Liu and almost unbiased Liu estimators in the presence of multicollinearity with heteroscedastic or correlated errors

This paper introduces a new biased estimator, namely, almost unbiased Liu estimator (AULE) of β for the multiple linear regression model with heteroscedastics and/or correlated errors and suffers from the problem of mult...

Download PDF file
  • EP ID EP134368
  • DOI -
  • Views 98
  • Downloads 0

How To Cite

Alexandru Mihai Bica, Marian Degeratu, Luiza Demian (2006). Optimal Alternative to the Akima's Method of Smooth Interpolation Applied in Diabetology. Surveys in Mathematics and its Applications, 1(0), 41-49. https://europub.co.uk/articles/-A-134368