On an integral equation for first-passage-time probability densities through a continuous-time function with bounded derivative satisfies a Volterra integral equation of the second kind whose kernel and right-hand term are ... LM Ricciardi,L Sacerdote,S Sato - 《Journal of Applied Probability》 ...
It is shown that if , and if the function has a convex th derivative for , then the least uniform deviation of from the rational functions of degree no higher than is bounded from above by the quantity where is a natural number and depen... AA Abdugapparov - 《Mathematics of the Ussr...
Mathematical Association of AmericaAmerican Mathematical MonthlyP.R. Beesack, Integral inequalities involving a function and its derivative, Amer. Math. Monthly 78 (1971), 705-741.P. R. BEFSACK, Integral inequalities involving a function and its derivative, Amer. M&h. Monthly 78 (1971), 705-...
Eq. (3.77) gives the material derivative of a volume integral in which the velocity vj of the volume motion is the velocity of the material particle. For nonlinear fluid–structure interactions, we often investigate the problem in the ALE system, for which the material derivative of a volume ...
of a function defined in space (or in a plane), the derivative in the direction of the normal to some surface (or to a curve lying in the plane). LetSbe a surface,Pa point onS, andfa function in some neighborhood ofP. Then the normal derivative offatPis equal to the limit of the...
2.In order to study the derivative and integral theories of the set-valued stochastic processes,the mean square derivative of the bounded closed convex set-valued stochastic processes is presented firstly by means of the weak convergence and open notion of sets.为了研究集值随机过程的微积分理论 ,...
Proofs of difficult results, such as the differentiability property of functions of bounded variations, are dissected into small steps in order to be accessible to students. With the exception of a few simple statements, all results are proven in the text. The presentation is elementary, where -...
The last expression on the right is called the integral off(x), andf(x) itself is called the integrand. This method of finding the limit of a sum can be used to determine the lengths of curves, the areas bounded by curves, and the volumes of solids bounded by curved surfaces, and to...
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GD Zheng - 《Integral Equations & Operator Theory》 被引量: 32发表: 1993年 Compactness of composition operators on BMOA and VMOA We give a new and simple compactness condition for composition operators on BMOA,the space of all analytic functions of the bounded mean oscillation on the... Has...