On the Composition of Distributions x-sln|x| and |x|μ
نویسندگان
چکیده
Let F be a distribution and let f be a locally summable function. The distribution F( f ) is defined as the neutrix limit of the sequence {Fn( f )}, where Fn(x) = F(x)∗δn(x) and {δn(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function δ(x). The composition of the distributions x−sIn|x| and |x| is evaluated for s= 1,2, . . . ,μ > 0 and μs = 1,2, . . . .
منابع مشابه
SOME QUOTIENTS ON A BCK-ALGEBRA GENERATED BY A FUZZY SET
First we show that the cosets of a fuzzy ideal μ in a BCK-algebraX form another BCK-algebra X/μ (called the fuzzy quotient BCK-algebra of X by μ). Also we show thatX/μ is a fuzzy partition of X and we prove several some isomorphism theorems. Moreover we prove that if the associated fuzzy similarity relation of a fuzzy partition P of a commutative BCK-algebra iscompatible, then P is a fuzzy quo...
متن کاملAn Investigation on Synthesis and Magnetic Properties of Manganese Doped Cobalt Ferrite Silica Core-Shell Nanoparticles for Possible Biological Application
In this work, we investigated synthesis, magnetic properties of silica coated metal ferrite, (CoFe2O4)/SiO2 and Manganese doped cobalt ferrite nanoparticles (MnxCo1-xFe2O4 with x= 0.02, 0.04 and 0.06)/SiO2 for possible biomedical application. All the ferrites nanoparticles were prepared by co-precipitation method using FeCl3.6H2O, CoCl2.6H2O and MnCl2.2H2O as precursors, and were silica coated ...
متن کاملA Monte Carlo Study on Dose Enhancement by Homogeneous and Inhomogeneous Distributions of Gold Nanoparticles in Radiotherapy with Low Energy X-rays
Background: To enhance the dose to tumor, the use of high atomic number elements has been proposed.Objective: The aim of this study is to investigate the effect of gold nanoparticle distribution on dose enhancement in tumor when the tumor is irradiated by typical monoenergetic X-ray beams by considering homogeneous and inhomogeneous distributions of gold nanoparticles (GNPs) in the tumor.Method...
متن کاملAn Investigation on Synthesis and Magnetic Properties of Manganese Doped Cobalt Ferrite Silica Core-Shell Nanoparticles for Possible Biological Application
In this work, we investigated synthesis, magnetic properties of silica coated metal ferrite, (CoFe2O4)/SiO2 and Manganese doped cobalt ferrite nanoparticles (MnxCo1-xFe2O4 with x= 0.02, 0.04 and 0.06)/SiO2 for possible biomedical application. All the ferrites nanoparticles were prepared by co-precipitation method using FeCl3.6H2O, CoCl2.6H2O and MnCl2.2H2O as precursors, and were silica coated ...
متن کاملComposition operators between growth spaces on circular and strictly convex domains in complex Banach spaces
Let $\Omega_X$ be a bounded, circular and strictly convex domain in a complex Banach space $X$, and $\mathcal{H}(\Omega_X)$ be the space of all holomorphic functions from $\Omega_X$ to $\mathbb{C}$. The growth space $\mathcal{A}^\nu(\Omega_X)$ consists of all $f\in\mathcal{H}(\Omega_X)$ such that $$|f(x)|\leqslant C \nu(r_{\Omega_X}(x)),\quad x\in \Omega_X,$$ for some constant $C>0$...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2007 شماره
صفحات -
تاریخ انتشار 2007