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An Extension of Kantorovich Inequality for Sesquilinear Maps

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Abstract (2. Language): 
By using sesquilinear map we generalize some operator Kantorovich inequalities. Our results are more extensive than many previous results due to Mond and PeCariC.
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REFERENCES

References: 

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[2] T. Furuta. Extensions of Holder-McCarthy and Kantorovich inequalities and their applications. Proc. Japan Acad. Ser. A Math. Sci, 73(3), 38-41. İ997.
[3] T. Furuta, J. Micic, J.E. Pecaric, and Y. Seo. Mond-Pecaric method in operator inequalities. Element, Zegreb, 2005.
[4] L.V. Kantorovich. Functional analysis and applied mathematics. Uspekhi Mat. Nauk, 3(6), 89-185. İ948.
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[5] Z. Liu, K.Wang, and C. Xu. A note on Kantorovich inequality for Hermite matrices. J. Inequal Appl, Artical ID 245767, İ-6. 20İİ.
[6] A.W. Marshall and I. Olkin. Matrix versions of the Cauchy and Kantorovich inequalities. Aequationes Math, 40(l), 89-93. İ990.

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