## Research Repository

# Approximating real functions which possess nth derivatives of bounded variation and applications

Dragomir, Sever S
(2008)
*Approximating real functions which possess nth derivatives of bounded variation and applications.*
Computers and Mathematics with Applications, 56 (9).
pp. 2268-2278.
ISSN 0898-1221

## Abstract

The main aim of this paper is to provide an approximation for the function f which possesses continuous derivatives up to the order n − 1 (n ≥ 1) and has the nth derivative of bounded variation, in terms of the chord that connects its end points A = (a, f (a)) and B = (b, f (b)) and some more terms which depend on the values of the k derivatives of the function taken at the end points a and b, where k is between 1 and n. Natural applications for some elementary functions such as the exponential and the logarithmic functions are given as well.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | ResPubID15199. Taylor’s expansion, approximation, functions of bounded variation, analytic inequalities error bounds |

Subjects: | Faculty/School/Research Centre/Department > School of Engineering and Science FOR Classification > 0101 Pure Mathematics SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences |

Depositing User: | VUIR |

Date Deposited: | 13 Oct 2011 01:01 |

Last Modified: | 12 Mar 2013 03:40 |

URI: | http://vuir.vu.edu.au/id/eprint/3640 |

ePrint Statistics: | View download statistics for this item |

Citations in Scopus: | 5 - View on Scopus |

### Repository staff only

View Item |