[PDF] Top 20 Inequalities with applications to some k analog random variables

... In , Grüss established an integral inequality which provides an estimation for the in- tegral of a product in terms of the product of integrals [, ]. Here, we use this inequality to prove some ... See full document

... integral inequalities play an important role in the development of the theory of differential equations, functional differential equations, and integral ...investigate some qualitative properties for a ... See full document

... tegral inequalities with maxima in two independent variables in Theorem ...the applications to research the boundedness of solutions of retarded nonlinear Volterra-Fredholm type in- tegral ... See full document

... 6 Inequalities in probability theory and applications for k-beta function Here, we give some applications of the Ostrowski type inequality for the k-beta function and cumulative ... See full document

... present some probability inequalities for a class of random ...As applications, we will give some complete convergence for a class of random ... See full document

... such inequalities are studied by an iteration argument, and the estimation formulas are expressed by a complicated power series which are some- times not very convenient for ...Henry-type ... See full document

... on some given numbers, x denotes the integral of x; and this paper is organized as ...contains some lemmas used later in the proof of theorems, and some ...of some exponential ... See full document

... investigate some nonlinear integral inequalities on time scales, which extend some inequalities established by Li and Sheng 8 and Li ...obtained inequalities can be used as important ... See full document

... As k > , so using () and (), we see that the mappings f and g are synchronous (asyn- chronous) having the same (opposite) monotonicity on [, ] and h is non-negative on [, ... See full document

... variables satisfying 1.1. A sufficient condition will be given under which 1.2 and 1.3 hold. We first state and prove one of our main results. The proof is based on the well known method of subsequences. Our proof ... See full document

... integral inequalities is an important research subject in mathematical ...These inequalities have many applications in differential equations, probability theory and statistical problems, but one of ... See full document

... integral inequalities play a fundamental role in the theory of differential equations and applied ...type inequalities is also of great ...integral inequalities for the expectation E(X) and the ... See full document

... exponential inequalities and complete convergence for a LNQD ...obtained some inequalities and gave some applications for a nonparametric regression ... See full document

... Frames are redundant systems in separable Hilbert spaces, which provide non-unique representations of vectors and are applied in a wide range of applications [4-7]. Working on efficient algorithms for computing ... See full document

... independent variables, their partial derivatives, integrals play a fundamental role in establishing the existence and uniqueness of initial and boundary value problems for ordinary and partial differential ... See full document

... 2. Applications to empirical processes. In this section, we formulate some consequences of the above theorems as well as some new analogous results for empirical ...“increments”). Some ... See full document

... integral inequalities are very important in physics and applied sciences. For some applications of this theory, we refer the reader [2, 4, 5, ...introduce some papers that have motivate the ... See full document

... integral inequalities involving functions of one and more than one independent variables which provide explicit bounds on unknown functions play a fundamental role in the development of the theory of ... See full document

... in some inequalities that are related to the Schur convexity ...important applications in extended mean values [7], theory of statistical experiments [8], graphs and matrices [9], combinato- rial ... See full document

... NA random variables was introduced by Alam and Saxena [1] and carefully studied by Joag-Dev and Proschan ...bution, random sampling without replacement, and joint distribution of ...NOD random ... See full document