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Chebyshev-Steffensen Inequality Involving the Inner Product

Authors: Milica Klaričić Bakula; Josip Pečarić;

Chebyshev-Steffensen Inequality Involving the Inner Product

Abstract

In this paper, we prove the Chebyshev-Steffensen inequality involving the inner product on the real m-space. Some upper bounds for the weighted Chebyshev-Steffensen functional, as well as the Jensen-Steffensen functional involving the inner product under various conditions, are also given.

Country
Croatia
Keywords

inner product, Chebyshev inequality, Chebyshev inequality ; Jensen inequality ; Jensen-Steffensen inequality ; inner product, Chebyshev-Steffensen inequality, Jensen-Steffensen inequality, Jensen inequality, QA1-939, Chebyshev-Steffensen inequality, Jensen-Steffensen inequality, Chebyshev inequality; Jensen inequality; Jensen-Steffensen inequality; inner product, Mathematics

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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!
0
Average
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