Results 11 to 20 of about 357 (173)
On an inequality suggested by Littlewood [PDF]
Journal of Inequalities and Applications, 2011 We study an inequality suggested by Littlewood, our result refines a result of Bennett. 2000 Mathematics Subject Classification. Primary 26D15.
Gao Peng
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On Minkowski's inequality and its application
Journal of Inequalities and Applications, 2011 In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
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Some new finite difference inequalities arising in the theory of difference equations [PDF]
Advances in Difference Equations, 2011 In this work, some new finite difference inequalities in two independent variables are established, which can be used in the study of qualitative as well as quantitative properties of solutions of certain difference equations.
Meng Fanwei, Feng Qinghua, Zhang Yaoming
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Generalized Gronwall-Bellman-type discrete inequalities and their applications [PDF]
Journal of Inequalities and Applications, 2011 In this paper, some new nonlinear Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of certain difference equations.
Meng Fanwei, Feng Qinghua, Zhang Yaoming
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On the refinements of the Jensen-Steffensen inequality [PDF]
Journal of Inequalities and Applications, 2011 In this paper, we extend some old and give some new refinements of the Jensen-Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined via these inequalities and prove monotonicity property of ...
Khalid Sadia +2 more
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Qualitative and quantitative analysis for solutions to a class of Volterra-Fredholm type difference equation [PDF]
Advances in Difference Equations, 2011 In this paper, we present some new discrete Volterra-Fredholm type inequalities, based on which we study the qualitative and quantitative properties of solutions of a class of Volterra-Fredholm type difference equation.
Zheng Bin
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On improvements of the Rozanova's inequality [PDF]
Journal of Inequalities and Applications, 2011 In the present paper, we establish some new Rozanova's type integral inequalities involving higher-order partial derivatives. The results in special cases yield some of the interrelated results on Rozanova's inequality and provide new estimates on ...
Cheung Wing-Sum, Zhao Chang-Jian
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Some new nonlinear retarded sum-difference inequalities with applications [PDF]
Advances in Difference Equations, 2011 The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Li Zizun, Cheung Wing-Sum, Wang Wu-Sheng
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Improved estimates for the triangle inequality [PDF]
, 2017 We obtain refined estimates of the triangle inequality in a normed space using integrals and the Tapia semi-product. The particular case of an inner product space is discussed in more detail.
Nicuşor Minculete +3 more
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Some inequalities of the Turán type for confluent hypergeometric functions of the second kind [PDF]
, 2019 In the paper, by virtue of the H¨older integral inequality, the authors derive some inequalities of the Turán type for confluent hypergeometric functions of the second kind, for the Mellin transforms, and for the Laplace transforms, and improve some ...
QI, Feng
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