Lower and upper bounds of the Čebyšev functional for the Riemann-Stieltjes integral

Authors

  • S.S. Dragomir Victoria University - Mathematics School of Engineering & Science
  • A. Sofo Victoria University - Mathematics School of Engineering & Science

Keywords:

Riemann-Stieltjes integral, Čebyšev inequality, Steffensen inequality, Integral inequalities

Abstract

Lower and upper bounds of the Čebyšev functional for the Riemann-Stieltjes integral, in the monotonicity case of one function, are given.  Applications in relation with the Steffensen generalisation of the Čebyšev inequality are provided.

Cover of n°28 Italian Journal of Pure and Applied Mathematics

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Published

2011-07-19

How to Cite

Dragomir, S., & Sofo, A. (2011). Lower and upper bounds of the Čebyšev functional for the Riemann-Stieltjes integral. Italian Journal of Pure and Applied Mathematics, 28, 41–50. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6017

Issue

N°28 - July 2011

Section

Articoli - Forum Editrice

License

Copyright (c) 2011 S.S. Dragomir, A. Sofo

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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