¹National University of Mongolia, Ulaanbaatar, Mongolia. Email: tsbatbold@hotmail.com
²National University of Mongolia, Ulaanbaatar, Mongolia. Email: V_Adiyasuren@yahoo.com
³Universidad Nacional de Colombia, Bogotá, Colombia. Email: recastillo@unal.edu.co

In this paper, by introducing some parameters we establish a new extension of the reverse of Hilbert-type integral inequality with best constant. We also, consider the equivalent inequality.

Key words: Hilbert-Type Integral Inequality, Reverse Hölder's Inequality.

En este artículo, introduciendo algunos parámetros, establecemos una nueva extensión de la desigualdad inversa tipo Hilbert con mejor constante. También consideramos la desigualdad equivalente.

Palabras clave: Desigualdad integral tipo Hilbert, desigualdad inversa de Hölder.

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References

[1] G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge University Press, Cambridge, United Kingdom YEAR 1952,         [ Links ] 0000.

[2] B. He, 'A Reverse Hilbert-Type Inequality with a Generalized Homogeneous Kernel', Tamkang J. Math 42, 1 (2011),         [ Links ] 1-7.

[3] D. S. Mitrinovi'c, J. E. Pe\vcari'c, and A. M. Fink, Inequalities Involving Function and Their Integrals and Derivatives, Kluwer Acadamic Publishers, Boston, United States YEAR 1991,         [ Links ] 0000.

[4] B. Yang, 'A basic Hilbert-Type Integral Inequality with Homogeneous Kernel of -1-Degree', Journal of Shanghai University (Natural Science) 15, 5 (2009), 493-495.         [ Links ]

[5] B. Yang, 'A Hilbert-Type Integral Inequality with the Homogeneous Kernel of Degree Zero', Journal of Shandong University (Natural Science) 45, 2 (2010), 103-106.         [ Links ]

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