Some theorems on double integrals over rectangles
نویسندگان
چکیده
منابع مشابه
On double integrals over spheres
Formulae involving double integrals over spheres arise naturally in inverse scattering problems since the scattered data are measured in the space R x Sz x Sz. In this paper we derive a relation between differential forms on the space S"' x S"-' , and those on the space Z x S n-2 x S where Z is a real interval. Specifically, d( dq = sin"' 6 d6 d$ dv (t, 7) E S '-' x S '-' and (6, $, U) E Z x S"...
متن کاملON CONVERGENCE THEOREMS FOR FUZZY HENSTOCK INTEGRALS
The main purpose of this paper is to establish different types of convergence theorems for fuzzy Henstock integrable functions, introduced by Wu and Gong cite{wu:hiff}. In fact, we have proved fuzzy uniform convergence theorem, convergence theorem for fuzzy uniform Henstock integrable functions and fuzzy monotone convergence theorem. Finally, a necessary and sufficient condition under which th...
متن کاملCentral limit theorems for double Poisson integrals
Motivated by second order asymptotic results, we characterize the convergence in law of double integrals, with respect to Poisson random measures, toward a standard Gaussian distribution. Our conditions are expressed in terms of contractions of the kernels. To prove our main results, we use the theory of stable convergence of generalized stochastic integrals developed by Peccati and Taqqu. One ...
متن کاملSome mean value theorems for integrals on time scales
In this short paper, we present time scales version of mean value theorems for integrals in the single variable case.
متن کاملOn the computation of integrals over fixed-size rectangles of arbitrary dimension
We present a formula for computing integrals over rectangles of arbitrary dimension in the special case that the size of the rectangles of interest is constant. Compared to the popular method of integral images, our approach reduces the amount of auxiliary memory and alleviates the effect of precision loss when computing large integral images. As an application of this technique we present a fa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1962
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-11-3-209-216