On corrected Bullen-Simpson's $3/8$ inequality

Authors

  • I. Franjic
  • J. Pecaric

DOI:

https://doi.org/10.5556/j.tkjm.37.2006.158

Abstract

The aim of this paper is to derive corrected Bullen-Simpson's 3/8 inequality, starting from corrected Simpson's 3/8 and corrected Maclaurin's formula. By corrected we mean formulae that approximate the integral not only with the values of the function in certain points but also with the value of the first derivative in end points of the interval. These formulae will have a higher degree of exactness than formulae derived in [3].

Author Biographies

I. Franjic

Faculty of Food Technology and Biotechnology, Department of mathematics, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia.

J. Pecaric

Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia.

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Published

2006-06-30

How to Cite

Franjic, I., & Pecaric, J. (2006). On corrected Bullen-Simpson’s $3/8$ inequality. Tamkang Journal of Mathematics, 37(2), 135-148. https://doi.org/10.5556/j.tkjm.37.2006.158

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Section

Papers