Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Osculatory interpolation


Author: S. W. Kahng
Journal: Math. Comp. 23 (1969), 621-629
MSC: Primary 65.20
MathSciNet review: 0247732
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: An explicit method of osculatory interpolation with a function of the form

$\displaystyle R(x) =$ $\displaystyle {f_{00}}({a_0}_0 + {g_0}(x){f_0}_1({a_0}_1 + {g_0}(x){f_0}_2({a_0}_2 + \cdots + {g_0}(x)$    
  $\displaystyle \cdot f_{0, m_0}(a_{0, m_0} + g_0(x)f_{10}(a_{10} + g_1(x)f_{11}(a_{11}$    
  $\displaystyle + \cdots + g_1(x)f_{1,m_1}(a_{1,m_1} + g_1(x)f_{20}(a_{20} + \cdots + {g_{n - 1}}(x)$    
  $\displaystyle \cdot f_{n0}(a_{n0} + g_n(x)f_{n1}(a_{n1} + \cdots + g_n(x)f_{n, m_n}(a_{n,m_n})) \cdots )$    

is described. Error terms for the interpolation are determined.

References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65.20

Retrieve articles in all journals with MSC: 65.20


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1969-0247732-7
PII: S 0025-5718(1969)0247732-7
Article copyright: © Copyright 1969 American Mathematical Society