LOG SUM INEQUALITY AND ITS APPLICATIONS
An Extension to Nonlinear Sum Difference Inequality and Applications
... of sum-di ff erence inequality in two variables, which includes both more than two distinct nonlinear sums without an assumption of monotonicity and a nonconstant term outside the ...
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Log-Harnack inequality for stochastic Burgers equations and applications
... Article history: Received 20 October 2010 Available online 16 February 2011 Submitted by Goong Chen Keywords: Stochastic Burgers equation Log-Harnack inequality Strong Feller property Ir[r] ...
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A Generalized Inequality for Covariance and Its Applications
... Shiyou Lin * , Yuanyuan Chen School of Mathematics and Statistics, Hainan Normal University, Haikou, China Abstract The research in this paper is intended as an attempt to motivate the work of Zhefei He and Mingjin Wang ...
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A Grüss type inequality and its applications
... Gr¨uss-type inequality which is a refinement of a result due to Dragomir and ...give its applications for the moments of random variables, guessing mappings, and Ozeki’s ...
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A reconsideration of Jensen’s inequality and its applications
... Keywords: Jensen’s inequality; mean; refinement; continuous associative semigroup operation.. 1 Introduction.[r] ...
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An inequality for q integral and its applications
... q-Series, which are also called basic hypergeometric series, play a very important role in many fields, such as affine root systems, Lie algebras and groups, number theory, orthog- onal polynomials, physics, etc. The ...
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A Weighted Geometric Inequality and its Applications
... 3. Applications of the theorem Besides the above notations, as usual, let R and r denote the radii of the circumcircle and incircle of triangle ABC, respectively, ∆ denote the area, r a , r b , r c denote the ...
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Moment Inequality for Mixing Sequences and Its Applications
... maximal inequality for ϕ-mixing sequences is ...maximal inequality, we study the convergence properties for ϕ-mixing ...H´ajek-R´enyi-type inequality, strong law of large numbers, strong growth rate ...
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Extension of Hu Ke's inequality and its applications
... s inequality plays a very important role in different branches of modern mathematics such as linear algebra, classical real and complex analysis, probability and statistics, qualitative theory of differential ...
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On Hilbert's Inequality for Double Series and Its Applications
... Hilbert inequality for double series can be established by introducing a real function u x and a parameter ...Hilbert inequality are obtained by means of a sharpening of the Cauchy ...As ...
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Quasi log concavity conjecture and its applications in statistics
... in the theory of k-normal distribution. 4 Quasi-log concavity of pdf of k-normal distribution The normal distribution (see [–]) is considered as the most prominent probability distribution in statistics. ...
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The log-Brunn-Minkowski inequality
... the log-Brunn-Minkowski inequality (1.4) is stronger than its classical counterpart ...the log-Minkowski inequality (1.5) turns out to be stronger than its classical ...
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On the generalised sum of squared logarithms inequality
... strict inequality else seems to be the most difficult ...The sum of squared logarithms inequality has immediate important applications in matrix analysis ([]; see also []) as well as in ...
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A new generalization of Halanay type inequality and its applications
... Halanay inequality is given. We apply this generalized Halanay inequality to an analysis of the dissipativity of two classes of nonlinear neutral delay integro-differential equations and the sufficient ...
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Basic inequality on a b metric space and its applications
... Motivated by this question, in this paper, we first prove some inequality. Using this in- equality, we improve Lemma . In order to understand deeply the mathematical structure of a b-metric space, we give a ...
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A Hilbert type fractal integral inequality and its applications
... In recent years, the fractal theory has been developed rapidly, and it has been widely used in the fields of science and engineering. Some researchers have used the fractal theory to discuss and generalize some classical ...
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Strong subadditivity for log determinant of covariance matrices and its applications
... the log-determinant, a simple informational quantity defined on the covariance matrix of any continuous variable state, behaves as a fully fledged entropy, obeying the fundamental strong subadditivity ...
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A Note on the Formulas for the Drazin Inverse of the Sum of Two Matrices and Its Applications
... To cite this article: Xiaolan Qin, Ricai Luo. A Note on the Formulas for the Drazin Inverse of the Sum of Two Matrices and Its Applications. Pure and Applied Mathematics Journal. Vol. 8, No. 3, 2019, ...
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A new nonlinear impulsive delay differential inequality and its applications
... differential inequality is established, which can be applied in the dynamical analysis of nonlinear systems to improve many extant ...the inequality, we obtain some sufficient conditions to guarantee the ...
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Generalizations of Weighted Trapezoidal Inequality for Monotonic Mappings and Its Applications
... AND ITS APPLICATIONS KUEI-LIN TSENG, GOU-SHENG YANG, AND SEVER ...zoid inequality for monotonic mappings, and give several applications for r − moment, the expectation of a continuous random ...
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