Titlebook: Algebraic Inequalities; Hayk Sedrakyan,Nairi Sedrakyan Textbook 2018 Springer International Publishing AG, part of Springer Nature 2018 In

Manifest

The HM-GM-AM-QM Inequalities,For solving some problems and in order to prove a large number of inequalities, one often needs to use various . and the relationships among them.

Clinch

,The Cauchy–Bunyakovsky–Schwarz Inequality,. The .–.–., also known as the .–. is one of the most important inequalities in mathematics.

带来

Change of Variables Method,The . is a basic technique used to simplify problems in which the original variable or variables are replaced with other variables in order to express the given problem in new variables in such a way that the problem becomes simpler or easier to prove.

剧本

精密

The Principle of Mathematical Induction,A large number of inequalities that at first glance appear difficult can be easily proved by a classical mathematical proof technique called the ..

placebo-effect

A Useful Inequality,In 1997 . has published an article (in Russian) [17] called “On the applications of a useful inequality,” in which the author proves a very useful inequality and provides some applications.

Irksome

Using Derivatives and Integrals, Derivatives and integrals are foundational proof technique tools in mathematics. The derivative of a function . of a variable . is a measure of the rate at which the value . of the function changes with respect to the change of the variable ..

大方不好

厚脸皮

,Jensen’s Inequality,. .’. is named after the Danish mathematician . born 8 May 1859 in Nakskov, Denmark, died 5 March 1925 in Copenhagen, Denmark.

colostrum

Inequalities of Sequences,In this section we consider inequalities related to sequences, in particular sequences given by recurrence relations, which are proved in various ways. While most inequalities can be proved by well-known proof techniques, there are not many tools for inequalities involving sequences.