Chebyshev-Steffensen Inequality Involving the Inner Product

Chebyshev-Steffensen Inequality Involving the Inner Product

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.

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Veröffentlicht in:Mathematics (Basel) 2022-01, Vol.10 (1), p.122
Hauptverfasser: Bakula, Milica Klaričić, Pečarić, Josip
Format: Artikel
Sprache:eng
Schlagworte:
Chebyshev approximation
Chebyshev inequality
Convex analysis
Food science
Inequality
inner product
Jensen inequality
Jensen-Steffensen inequality
Upper bounds
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10010122