A NEW INTERPRETATION OF CHEBYSHEV%26apos;S INEQUALITY FOR SEQUENCES OF REAL NUMBERS AND QUASI-ARITHMETIC MEANS

作者：Nakasuji Yasuo^*; Kumahara Keisaku; Takahasi Sin Ei

来源：Journal of Mathematical Inequalities, 2012, 6(1): 95-105.

• Chebyshev%26apos
• s inequality
• quasi-arithmetic mean
• convexity
• concavity

The main purpose of the paper is to give a new interpretation of Chebyshev%26apos;s inequality for the sequences of real numbers from a standpoint of composition functions. As an application, an n -version of the concavity (or the convexity) of a quasi-arithmetic mean function is obtained under some conditions.

• 出版日期2012-3