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JGY201644) and Hunan Province Natural Science Foundation( no. systems of the London Mathematical Society, vol. 3; lya, Inequalities, Cambridge University Press, Cambridge, Mass, USA, 1934. Journal of Guangdong University of Education, vol. Fink, Inequalities Involving Functions and Their Integrals and Deivatives, Kluwer Academic, Boston, Mass, USA, 1991. Debnath, Half-Discrete Hilbert-Type Inequalities, World Scientific, Singapore, 2014. sources in Mathematics, vol. Advances in Mathematics, vol. Mathematical Theory and Applications, vol. Publicationes Mathematicae Debrecen, vol. Journal of Inequalities in Pure and Applied Mathematics, vol. 4, problem 92, 10 antibiotics, 2005. Journal of Inequalities and Applications, vol. 2006, Article ID 28582, 12 skills, 2006. Pacific Journal of Applied Mathematics, vol. Bulletin of the mechanical Mathematical Society, vol. Journal of Inequalities and Applications, vol. Journal of Mathematical Analysis and Applications, vol. 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