Aritmetický priemer a geometrický priemer II
Arithmetic Mean and Geometric Mean II
Abstract
In Mathematics we define several of kinds of the numerical means. Probably most known are the arithmetic mean and geometric mean. In last paper we proved the Cauchy´s inequality in different ways, especially by differential calculus. In this article we will add other ways.
- Keywords
- Cauchy´s inequality, mathematical induction
- Classification
- E55
References
Varga, M., Michalička P. Arithmetic Mean and Geometric Mean. AMN, Vol. 2, No. 2, ISSN: 2453-6083, p. 43 – 48, DOI: 10.17846/AMN.2016.2.2.43-48
Varga, M.: Úvod do diferenciálneho počtu, UKF Nitra, 2015, 143 s.
https://brilliant.org/discussions/thread/proof-of-the-arithmetic-mean-geometric-mean/ (cit. 15. 3. 2018)
Berkolajko S.: Integral pomogajet dokazať neravenstvo Koši. Kvant č. 8/1979, ISSN 0130-2221, s. 26
Pinter L., Chegedyš J.: Uporjadočennyje nabory čisel i neravenstva, Kvant č. 12/1985, ISSN 0130-2221, s. 14 – 16.
Varga, M.: Úvod do diferenciálneho počtu, UKF Nitra, 2015, 143 s.
https://brilliant.org/discussions/thread/proof-of-the-arithmetic-mean-geometric-mean/ (cit. 15. 3. 2018)
Berkolajko S.: Integral pomogajet dokazať neravenstvo Koši. Kvant č. 8/1979, ISSN 0130-2221, s. 26
Pinter L., Chegedyš J.: Uporjadočennyje nabory čisel i neravenstva, Kvant č. 12/1985, ISSN 0130-2221, s. 14 – 16.