Thursday, April 1, 2010

Book: "Rèn luyện kĩ năng sử dụng bất đẳng thức Cauchy - Schwarz thông qua các bài toán" (by V. Q. B. Can) will appear soon

I am writing a new inequality book named "Rèn luyện kĩ năng sử dụng bất đẳng thức Cauchy - Schwarz thông qua các bài toán." In English, it means "Improving your skills of using the Cauchy - Schwarz Inequality through problems." In the book, I presented all techniques I know about the Cauchy - Schwarz Inequality. I hope that the readers can improve their skills of using the Cauchy - Schwarz Inequality after reading this book. The book is written in Vietnamese and it will appear soon. Here is the cover (it was designed by me):


Saturday, March 20, 2010

Inequality 152 [V. Q. B. Can]

Let be positive real numbers. Prove that

Friday, March 19, 2010

Inequality 151 [T. Q. Anh]

Let $a,b,c$ be nonnegative real numbers, no two of which are zero. Prove that

Proof. Download here.