Some New Inequalities Between Important Means and Applications to Ky Fan - type Inequalities

نویسندگان

  • Jamal Rooin
  • Mehdi Hassani
چکیده

In this paper, mainly using the convexity of the function a x −b x cx−dx and convexity or concavity of the function ln a x −b x cx−dx on the real line, where a > b ≥ c > d > 0 are fixed real numbers, we obtain some important relations between various important means of these numbers. Also, we apply the obtained results to Ky Fan type inequalities and get some new refinements. 2000 Mathematics Subject Classification: 26D15, 26A06, 39B62.

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Some New Inequalities Between Important Means and Applications to Ky Fan Types Inequalities

In this paper, mainly using the convexity of the function a −b cx−dx and convexity or concavity of the function ln a −b cx−dx on the real line, where a > b ≥ c > d > 0 are fixed real numbers, we obtain some important relations between various important means of these numbers. Also, we apply the obtained results to Ky Fan type inequalities and get some new refinements. 2000 Mathematics Subject C...

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تاریخ انتشار 2008