This paper shows the application of Cauchy inequality to some complex geometric and algebraic problems. Proof of Cauchy inequality is presented in several ways. Furthermore, the generalized Koshi inequality is fully proven.
 E. A. Morozova, I.S. Petrakov, V.A. Skvortsov. International Mathematical Olympiads. Moscow-1988  A. Kochkarov, J. Rasulov. Inequalities-III. A set of issues. Tashkent-2008.  I. X. Sivashinskiy. Neravenstva in zadachax. Moscow - 1967  B.B.Rixsiev, N.N.Ganikhodjaev, T.Q.Qurganov, H. Kasimov, Mathematical Olympiads. Teacher Publishing House, Tashkent -1993.  N.B. Vasilev, A.A. Egorov. Zadachi vsesoyuznyx matematicheskix olympiad. Moscow-1988  Sh. Ismoilov, A. Kochkarov, B. Abduraxmonov. Inequalities-I. Classical methods of proof. Tashkent-2008.
IBRAGIMOV, Z.Sh; XUJAMOV, J.U; and KHUJATOV, N.J
"CAUCHY INEQUALITY AND ITS APPLICATIONS,"
Central Asian Problems of Modern Science and Education: Vol. 2020
, Article 13.
Available at: https://uzjournals.edu.uz/capmse/vol2020/iss2/13