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Some new inverse type Hilbert-Pachpatte inequalities  [cached]
Zhongxue Lu
Tamkang Journal of Mathematics , 2003, DOI: 10.5556/j.tkjm.34.2003.155-162
Abstract: In this paper, some new inverse type Hilbert-Pachpatte inequalities are given.
Some new Ostrowski and Gr"Uss type inequalities  [cached]
B. G. Pachpatte
Tamkang Journal of Mathematics , 2007, DOI: 10.5556/j.tkjm.38.2007.111-120
Abstract: In this paper we establish some new inequalities of Ostrowski and Gr"uss type, involving three functions whose second derivatives are bounded. The analysis used in the proofs is fairly elementary and based on the integral identities for twice differentiable functions.
Some new refined Hardy type integral inequalities  [PDF]
Khaled Mehrez
Mathematics , 2015,
Abstract: In this paper, by using Jensen's inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved.
Some New Wilker-Type Inequalities for Circular and Hyperbolic Functions  [PDF]
Ling Zhu
Abstract and Applied Analysis , 2009, DOI: 10.1155/2009/485842
Abstract: In this paper, we give some new Wilker-type inequalities for circular and hyperbolic functions in exponential form by using generalizations of Cusa-Huygens inequality and Cusa-Huygens-type inequality.
Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications  [cached]
Cheung Wing-Sum,Ma Qing-Hua,Tseng Shiojenn
Journal of Inequalities and Applications , 2008,
Abstract: Some new weakly singular integral inequalities of Wendroff type are established, which generalized some known weakly singular inequalities for functions in two variables and can be used in the analysis of various problems in the theory of certain classes of integral equations and evolution equations. Application examples are also given.
Some new Inequalities of Hardy-Hilbert Type with general kernel  [PDF]
Guang-Sheng Chen
Mathematics , 2011,
Abstract: In this paper, by using hardy inequality, we establish some new integral inequalities of Hardy-Hilbert type with general kernel. As applications, equivalent forms and some particular results are built; the corresponding to the double series inequalities are given.reverse forms are considered also.
On some inequalities of Chebyshev type  [PDF]
Andriy L. Shidlich,Stanislav O. Chaichenko
Mathematics , 2014, DOI: 10.7153/mia-18-102
Abstract: We obtain some new inequalities of Chebyshev Type.
Some New Inequalities of Opial's Type on Time Scales
Samir H. Saker
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/683136
Abstract: We will prove some new dynamic inequalities of Opial's type on time scales. The results not only extend some results in the literature but also improve some of them. Some continuous and discrete inequalities are derived from the main results as special cases. The results can be applied on the study of distribution of generalized zeros of half-linear dynamic equations on time scales.
On some new inequalities of Hermite-Hadamard type for $m$ -- convex functions
S. S. Dragomir
Tamkang Journal of Mathematics , 2002, DOI: 10.5556/j.tkjm.33.2002.45-56
Abstract: Some new inequalities for $m-$convex functions are obtained.
New Inequalities of Opial's Type on Time Scales and Some of Their Applications
Samir H. Saker
Discrete Dynamics in Nature and Society , 2012, DOI: 10.1155/2012/362526
Abstract: We will prove some new dynamic inequalities of Opial's type on time scales. The results not only extend some results in the literature but also improve some of them. Some continuous and discrete inequalities are derived from the main results as special cases. The results will be applied on second-order half-linear dynamic equations on time scales to prove several results related to the spacing between consecutive zeros of solutions and the spacing between zeros of a solution and/or its derivative. The results also yield conditions for disfocality of these equations.
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