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

S.S. Dragomir; A. Sofo

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

Autori

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

Parole chiave:

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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Pubblicato

2011-07-19

Come citare

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. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6017