Approximating the Stieltjes Integral Using the Generalized Midpoint Rule

Authors

  • Avyt Asanov
  • M. Haluk Chelik
  • M. Muso Abdujabarov

DOI:

https://doi.org/10.11113/matematika.v27.n.303

Abstract

Accurate approximations for the Stieltjes integral by the generalized midpoint rule. The generalized midpoint rule is established on the notion of the derivative of function with respect to the strictly increasing function defined in [9]. Keywords: Stieltjes integral; generalired midpoint rule; the derivative of the function with respect to the strictly increasing function; generalized formula of Taylor. 2010 Mathematics Subject Classification 26D15; 26A42.

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Published

01-11-2011

Issue

Volume 27 (December 2011)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Approximating the Stieltjes Integral Using the Generalized Midpoint Rule. (2011). MATEMATIKA, 27, 139-148. https://doi.org/10.11113/matematika.v27.n.303