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Positive integer n is between two adjacent prime numbers square, the well-established number of product even distribution of the formula (S) andformula (L), According to the prime number theorem, Mert...
In the paper, by using the way of weight functions and the theory of operators, we define a new Hilbert-type integral operator and obtain its norm. As applications, a Hilbert-type operator inequality ...
In this paper we show that, by the use of an equivalent norm, one can make unbounded linear operators exhibit one of the most important properties of bounded operators without using the graph norm. ...
ON AN INTEGRAL INEQUALITY     Integral Inequality       2008/11/26
In the present paper some new integral inequalities are presented.
We prove the Gr¨uss inequality on time scales and thus unify corresponding continuous and discrete versions from the literature. We also apply our results to the quantum calculus case.
On Integral Version of Alzer’s Inequality and Martins’ Inequality
Alternative Proof of the Best Bounds of Wallis’ Inequality
In this paper, the open problem published in (Feng Qi, An algebraic inequality, J. Inequal. Pure Appl. Math., 2 (1), Art. 13, 2001) is solved by using analytic arguments. At the same time, the preci...
We give two proofs of the arithmetic-algebraic mean inequality by giving a characterization of symmetric means.
期刊信息 篇名 【4】Optimal control of the obstacle in a quasi-linear elliptic variational inequality 语种 英文 撰写或编译 作者 叶玉全,陈启宏 第一作者单位 刊物名称 Journal of Mathematical Analysis & Applications 页面 Vol 294, 258-272, (20...
期刊信息 篇名 【11】Bilateral obstacle optimal control for a quasilinear elliptic variational inequality 语种 英文 撰写或编译 作者 陈启宏,叶玉全 第一作者单位 刊物名称 Numerical FunctionalAnalysis andOptimization Accepted (2005) 页面 出版日...
A generalisation of a perturbed version of the Ostrowski inequality for twice differentiable mappings is studied. It is shown that the error bounds are better than those obtained previously. Applicati...

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