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Chebyshev-Steffensen Inequality Involving the Inner Product

Author

Listed:
  • 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)

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.

Suggested Citation

  • Milica Klaričić Bakula & Josip Pečarić, 2022. "Chebyshev-Steffensen Inequality Involving the Inner Product," Mathematics, MDPI, vol. 10(1), pages 1-16, January.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:1:p:122-:d:715992
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