Приложение на връзката между средно аритметично и средно геометрично за рационално доказване на някои неравенства
An Application of the Relation Between Arithmetic Mean and Geometric Mean for Rational Proving Some Inequalities
Author(s): Radan Miryanov, Jordan PetkovSubject(s): Social Sciences, Economy, Education, School education, Vocational Education, Adult Education, Higher Education , ICT Information and Communications Technologies
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: inequalities; mathematical induction; arithmetic mean; geometric mean; methodology
Summary/Abstract: 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.
Journal: Математика и информатика
- Issue Year: 60/2017
- Issue No: 4
- Page Range: 363-369
- Page Count: 7
- Language: Bulgarian
- Content File-PDF