An Application of the Relation Between Arithmetic Mean and Geometric Mean for Rational Proving Some Inequalities Cover Image
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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 Petkov
Subject(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.

  • Issue Year: 60/2017
  • Issue No: 4
  • Page Range: 363-369
  • Page Count: 7
  • Language: Bulgarian