New Upper Bounds for the Weighted Chebyshev Functional

• Autorzy: Milica Klaričić Bakula , Josip Pečarić
• Języki publikacji: EN

Abstrakty

EN

New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.(original abstract)

Słowa kluczowe

EN

Mathematics; Mathematical analysis; Mathematical functions

PL

Matematyka; Analiza matematyczna; Funkcje matematyczne

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2024
• Tom: 38 (1)
• Strony: 37--56

Twórcy

autor

Milica Klaričić Bakula

• University of Split, Croatia

autor

Josip Pečarić

• Croatian Academy of Sciences and Arts, Croatia

Bibliografia

• Abramovich, S., M. Klaričić Bakula, M. Matić, and J. Pečarić, A variant of Jensen-Steffensen's inequality and quasi-arithmetic means, J. Math. Anal. Appl. 307 (2005), no. 1, 370-386.
• Mitrinović, D.S., J.E. Pečarić, and A.M. Fink, Classical and New Inequalities in Analysis, Mathematics and its Applications (East European Series), 61, Kluwer Academic Publishers Group, Dordrecht, 1993.
• Pečarić, J.E., On the Ostrowski generalization of Čebyšev's inequality, J. Math. Anal. Appl. 102 (1984), no. 2, 479-487.
• Pečarić, J.E., F. Proschan, and Y.L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Mathematics in Science and Engineering, 187, Academic Press, Inc., Boston, MA, 1992.
• Steffensen, J.F., On certain inequalities and methods of approximation, J. Inst. Actuaries 51 (1919), no. 3, 274-297.
• Steffensen, J.F., En Ulighed mellem Middelve edier, Mat. Tidsskrift B (1920), 49-53.

Identyfikatory

DOI

10.2478/amsil-2023-0030