Superadditivity of functionals related to Gauss' type inequalites

Authors

  • Sanja Varošanec University of Zagreb, 10000 Zagreb, Bijenička c. 30

DOI:

https://doi.org/10.5644/SJM.10.1.05

Keywords:

Gauss-Winckler's inequality, Gauss-Pólya's inequalities, superadditive functional

Abstract

In this paper we prove superadditivity of some functionals associated with the Gauss-Winckler and the Gauss-Pólya inequalities.

Downloads

Download data is not yet available.

References

R. Beesack, Inequalities for absolute moments of a distribution: From Laplace to Von Mise, J. Math. Anal. Appl., 98 (1984), 435--457.

F. Gauss, Theoria combinationis observationum, 1821.

S. Mitrinović, J. E. Pečarić and A. M. Fink, Classical and New Inequalities in Analysis. Dordrecht, Kluwer Acad. Publishers, 1993.

Pečarić and S. Varošanec, Remarks on Gauss-Winckler's and Stolarsky's inequalities, Utilitas Math., 48 (1995), 233--241.

Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Vol I and II. Berlin, Springer Verlag, 1925.

Varošanec and J. Pečarić, Gauss' and related inequalites, Z. Anal. Anwendungen, 14 (1995), 175--183.

Winckler, Allgemeine Sätze zur Theorie der unregelmẞigen Beobachtungsfehler, Sitzungsber. Akad. Wiss. Wien, Math.-Natur. Kl. Zweite Abt., 53 (1866), 6--41.

Downloads

Published

04.06.2024

How to Cite

Varošanec, S. (2024). Superadditivity of functionals related to Gauss’ type inequalites. Sarajevo Journal of Mathematics, 10(1), 37–45. https://doi.org/10.5644/SJM.10.1.05

Issue

Section

Articles