期刊论文

Guo, Zhi-Jun

英文

JOURNAL OF MATHEMATICAL INEQUALITIES

1846-579X

2016

10

2

301-312

10.7153/jmi-10-25

Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11371125, 11171307, 61374086]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY13A010004]; Natural Science Foundation of the Department of Education of Hunan Province [12C0577, 13A013]

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In this paper, we find the greatest values alpha(1), alpha(2), alpha(3), alpha(4), alpha(5), alpha(6), alpha(7), alpha(8) and the least values beta(1), beta(2), beta(3), beta(4), beta(5), beta(6), beta(7), beta(8) such that the double inequlities A alpha(1)(a, b)G(1-alpha 1) (a, b) < N-GA(a, b) < A(beta 1) (a, b)G(1-beta 1) (a, b), alpha(2)/G(a, b) + 1 - alpha(2)/A(a, b) < 1/N-GA (a, b) < beta(2)/G(a, b) + 1 - beta(2)/A(a, b), A alpha 3 (a, b) G(1-alpha 3) (a, b) < N-AG (a, b) < A(beta 3) (a, b)G(1-beta 3) (a, b), alpha(4)/G(a, b) + 1 - alpha(4)/A(a, b) < 1/N-GA(a, b) < beta 4/G(a, b) + 1 - be...