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Schur-convexity and the Simpson formula

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2011 Croatia English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 24, pages 1,565-1,568 (issn: 0893-9659, Copyright policy )Funded by:MZOS | General inequalities and ..., MZOS | Bounds for Functionals on...
Authors: Iva Franjic; Josip Pecaric;

doi: 10.1016/j.aml.2011.03.047

Schur-convexity and the Simpson formula

Abstract

The main objective of this work is to give a necessary and sufficient condition for the function defined as the difference of the Simpson quadrature rule and the arithmetic integral mean to be Schur-convex.

Country
Croatia
Related Organizations
Keywords

Other analytical inequalities, Applied Mathematics, Schur-convexity; Simpson formula; 4-convex functions, Schur-convexity, Simpson formula, 4-convex functions, Convexity of real functions of several variables, generalizations, 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!
4
Average
Average
Average
hybrid