Приложение на връзката между средно аритметично и средно геометрично за рационално доказване на някои неравенства
In the present paper an idea for proving particular inequalities is revealed using the well-known relation between arithmetic mean and geometric mean. Methodologically the proposed inequalities are also solved in different ways by using alternative approaches – by mathematical induction or by exploring functions so that the level of difficulty and rationality of different solutions may be easily compared.
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