Cvetkovski, Zdravko
Inequalities
1. Basic (Elementary) Inequalities and Their Application
Zdravko Cvetkovski
2. Inequalities Between Means (with Two and Three Variables)
Zdravko Cvetkovski
3. Geometric (Triangle) Inequalities
Zdravko Cvetkovski
4. Bernoulli’s Inequality, the Cauchy–Schwarz Inequality, Chebishev’s Inequality, Surányi’s Inequality
Zdravko Cvetkovski
5. Inequalities Between Means (General Case)
Zdravko Cvetkovski
6. The Rearrangement Inequality
Zdravko Cvetkovski
7. Convexity, Jensen’s Inequality
Zdravko Cvetkovski
8. Trigonometric Substitutions and Their Application for Proving Algebraic Inequalities
Zdravko Cvetkovski
9. Hölder’s Inequality, Minkowski’s Inequality and Their Variants
Zdravko Cvetkovski
10. Generalizations of the Cauchy–Schwarz Inequality, Chebishev’s Inequality and the Mean Inequalities
Zdravko Cvetkovski
11. Newton’s Inequality, Maclaurin’s Inequality
Zdravko Cvetkovski
12. Schur’s Inequality, Muirhead’s Inequality and Karamata’s Inequality
Zdravko Cvetkovski
13. Two Theorems from Differential Calculus, and Their Applications for Proving Inequalities
Zdravko Cvetkovski
14. One Method of Proving Symmetric Inequalities with Three Variables
Zdravko Cvetkovski
15. Method for Proving Symmetric Inequalities with Three Variables Defined on the Set of Real Numbers
Zdravko Cvetkovski
16. Abstract Concreteness Method (ABC Method)
Zdravko Cvetkovski
17. Sum of Squares (SOS Method)
Zdravko Cvetkovski
18. Strong Mixing Variables Method (SMV Theorem)
Zdravko Cvetkovski
19. Method of Lagrange Multipliers
Zdravko Cvetkovski
20. Problems
Zdravko Cvetkovski
21. Solutions
Zdravko Cvetkovski
Nyckelord: Mathematics, Algebra, Popular Science in Mathematics/Computer Science/Natural Science/Technology, Mathematics Education, Popular Science, general
- Författare
- Cvetkovski, Zdravko
- Utgivare
- Springer
- Utgivningsår
- 2012
- Språk
- en
- Utgåva
- 1
- Sidantal
- 10 sidor
- Kategori
- Naturvetenskaper
- Format
- E-bok
- eISBN (PDF)
- 9783642237928