Use of Mass Center to Prove Inequalities

KAMALOV OTABEK ERKIN O‘G‘LI

doi:10.31149/ijot.v4i6.3295

KAMALOV OTABEK ERKIN O‘G‘LI Student of Berdakh Karakalpak State University

DOI: https://doi.org/10.31149/ijot.v4i6.3295

Keywords: Function, convex, concave, Jensen inequality, Cauchy inequality., Function, convex, concave, Jensen inequality, inequality

Abstract

This paper shows the most commonly used inequalities, in particular the ways to prove the Cauchy inequality using the center of mass. Emphasis is placed on the possibility of proving inequalities by geometric methods.

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