A New Expansion Formula

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Abstract

A new Taylor like expansion formula is established. Here the Riemann-Stieltjes integral of a function is expanded into a finite sum form which involves the derivatives of the function evaluated at the right end point of the interval of integration. The error of the approximation is given in an integral form involving the ð‘›th derivative of the function. Implications and applications of the formula follow.

Keywords

Taylor like expansion , Riemann-Stieltjes integral , inequality for integral and sum
  • Pages: 24–30
  • Date Published: 2003-01-01
  • Vol. 5 No. 1 (2003): CUBO, Matemática Educacional

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Published

2003-01-01

How to Cite

[1]
G. A. Anastassiou, “A New Expansion Formula”, CUBO, vol. 5, no. 1, pp. 24–30, Jan. 2003.

Issue

Vol. 5 No. 1 (2003): CUBO, Matemática Educacional

Section

Articles

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