Jordan fields and improper integrals
نویسندگان
چکیده
منابع مشابه
Adaptive Integration and Improper Integrals
Let R be the class of all functions that are properly Riemann-integrable on [0, 1], and let IR be the class of all functions that are properly Riemann-integrable on [a, 1 ] for all a > 0 and for which
متن کاملSolving Improper Integrals with Maple
This study takes the mathematical software Maple as the auxiliary tool to evaluate some type of improper integrals. We can obtain the infinite series form of this type of improper integrals by using three important methods (i.e., differentiation with respect to a parameter, differentiation term by term, and integration term by term). In addition, we propose two improper integrals to do calculat...
متن کاملComparison theorem for improper integrals
This is a complement to the comparison theorem for improper integrals in the textbook. The vanilla version presented in the textbook is good enough to solve some very easy examples and it becomes exponentially gory with the complexity of the integral. Fortunately it is not hard to refine the statement in the book, and turn it into a powerful tool to estimate the convergence of arbitrarily compl...
متن کاملTransformations of infinitely divisible distributions via improper stochastic integrals
Let X(ds) be an R-valued homogeneous independently scattered random measure over R having μ as the distribution of X ((t, t+1]). Let f(s) be a nonrandom measurable function on an open interval (a, b) where −∞ 6 a < b 6 ∞. The improper stochastic integral ∫ b− a+ f(s)X(ds) is studied. Its distribution Φf (μ) defines a mapping from μ to an infinitely divisible distribution on R. Three modificatio...
متن کاملDynamic Systems and Applications 12 (2003) 45-65 IMPROPER INTEGRALS ON TIME SCALES
In this paper we study improper integrals on time scales. We also give some mean value theorems for integrals on time scales, which are used in the proof of an analogue of the classical Dirichlet–Abel test for improper integrals. AMS (MOS) Subject Classification. 39A10.
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: Journal of Mathematical Analysis and Applications
سال: 1988
ISSN: 0022-247X
DOI: 10.1016/0022-247x(88)90373-3