GENERALIZATIONS OF STEFFENSEN’S INEQUALITY VIA n WEIGHT FUNCTIONS

Authors

DOI:

https://doi.org/10.37560/matbil14200031a

Keywords:

Steffensen’s inequality, Montgomery identity, \(n\)-exponentially convex function

Abstract

New generalizations of Steffensen’s inequality are obtained by means of weighted Montgomery identity with \(n\) different weight functions. Instead for a nondecreasing (1-convex) function our generalization hold for a \(n\)-convex function. Further, functionals associated to these new generalizations are observed and used to generate \(n\)-exponentially and exponentially convex functions as well as to obtain new Stolarsky type means related to these functionals.

Downloads

Published

2014-01-01

Issue

Vol. 38 No. 2 (2014): 38 (LXIV) 2 (2014)

Section

Articles

License

Copyright (c) 2014 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
A. Aglić Aljinović, J. Pečarić, and A. Perušić Pribanić, “GENERALIZATIONS OF STEFFENSEN’S INEQUALITY VIA n WEIGHT FUNCTIONS”, Mat. Bilt., vol. 38, no. 2, pp. 31–51, Jan. 2014, doi: 10.37560/matbil14200031a.