Chebyshev-Steffensen Inequality Involving the Inner Product

Milica Klaričić Bakula and Josip Pečarić
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Milica Klaričić Bakula: Faculty of Science, University of Split, Ruđera Boškovića 33, 21000 Split, Croatia
Josip Pečarić: Croatian Academy of Sciences and Arts, Trg Nikole Šubića Zrinskog 11, 10000 Zagreb, Croatia

Mathematics, 2022, vol. 10, issue 1, 1-16

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.

Keywords: Chebyshev inequality; Jensen inequality; Jensen-Steffensen inequality; inner product (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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