PROVING INEQUALITIES USING THE LAGRANGE FUNCTION

Otabek Zaripov; Murodjon Umirzakov; Madina Teshayeva

Authors

Otabek Zaripov Samarkand State University named after Sharof Rashidov 2nd year student of the Faculty of Mathematics
Murodjon Umirzakov Samarkand State University named after Sharof Rashidov 2nd year student of the Faculty of Mathematics
Madina Teshayeva 2nd year student of Uzbek -Finnish Pedagogical Institute

Keywords:

Lagrange function, conditional extremum, sufficiency conditions of extremum.

Abstract

Proving inequalities has a special place in the International Mathematical Olympiad. There are various methods of proving such inequalities, and this article presents a method of proving inequalities using the Lagrange function, which is simple and easy to use.

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https://www.imo-official.org/

http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_LAGRANGE_METHOD.PDF