GENERALISATIONS OF STEFFENSEN’S INEQUALITY BY HERMITE’S POLYNOMIAL

Authors

DOI:

https://doi.org/10.37560/matbil14200053j

Keywords:

Steffensen’s inequality, Hermite polynomial, \(n\)-exponential convexity, \(n\)-convexity

Abstract

We study generalizations of Steffensen’s inequality using Hermite expansions with integral reminder. In comparing differences of two weighted integrals we vary on the number of knots in expansion which leads us to generalization of conditions for Steffensen’s inequality. After that, we construct exponentially convex functions and Cauchy means.

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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]
J. Jakšetić, J. Pečarić, and A. Perušić, “GENERALISATIONS OF STEFFENSEN’S INEQUALITY BY HERMITE’S POLYNOMIAL”, Mat. Bilt., vol. 38, no. 2, pp. 53–68, Jan. 2014, doi: 10.37560/matbil14200053j.