Some New Inequalities Between Important Means and Applications to Ky Fan - type Inequalities
نویسندگان
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.
منابع مشابه
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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