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Journal of Mathematical Analysis and Applications
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On Steffensen pairs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2002 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 271, pages 534-541 (issn: 0022-247X, Copyright policy )
Authors: Qi, Feng; Guo, Bai-Ni;

doi: 10.1016/s0022-247x(02)00120-8

On Steffensen pairs

Abstract

Related to the classical Steffensen inequality, the Steffensen pairs were defined by \textit{H. Gauchman} [J. Inequal. Appl. 5, 53-61 (2000; Zbl 0952.26012)]. In this paper some known Steffensen pairs are listed; then, by using induction and properties of the generalized weighted means, the authors give a general method for constructing such pairs.

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Keywords

Mathematical induction, absolutely monotonic function, 0103 Numerical and Computational Mathematics, Applied Mathematics, Absolutely monotonic function, 510, Generalized weighted mean values, Research Group in Mathematical Inequalities and Applications (RGMIA), 0102 Applied Mathematics, generalized weighted mean values, Steffensen pair, Inequalities for sums, series and integrals, Steffensen pairs, generalized weighted means, mathematical induction, Steffensen inequality, Analysis, Means

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
hybrid