On the inequalities of Ky Fan, Wang–Wang and Alzer
نویسندگان
چکیده
منابع مشابه
On a Class of Ky Fan-Type Inequalities
In this paper, we study one class of Ky Fan-type inequalities, which has ties with the original Ky Fan inequality. Our result extends the known ones.
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The study of the behavior of means under equal increments of their variables provides a new approach to Ky Fan-type inequalities. Via this new approach we are able to prove some new results on Ky Fan-type inequalities.
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The purpose of this paper is to introduce a new hybrid extragradient iterative method for finding a common element of the set of points satisfying the Ky Fan inequalities, variational inequality and the set of fixed points of a strict pseudocontraction mapping in Hilbert spaces. Consequently, we obtain the strong convergence of an iterative algorithm generated by the hybrid extragradient projec...
متن کاملOn an identity of Ky Fan
This nice identity was applied in the same paper. Rather surprisingly, this result did not seem to have caught much attention. The object of this short note is to indicate some other consequences of identity (1), which have not been quoted in [5] or [6]. Before going further, and since no proof of this identity is given in [6], we thought worth to give one. The proof goes as follows. Put for an...
متن کاملSome New Inequalities Between Important Means and Applications to Ky Fan - type Inequalities
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 S...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2002
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00074-4