Applicability of multiplicative renormalization method for a certain function
نویسندگان
چکیده
منابع مشابه
Applicability of Multiplicative Renormalization Method for a Certain Function
We characterize the class of probability measures for which the multiplicative renormalization method can be applied for the function h(x) = 1 √ 1−x to obtain orthogonal polynomials. It turns out that this class consists of only uniform probability measures on intervals and probability measures being supported by one or two points. 1. Multiplicative Renormalization Method Let μ be a probability...
متن کاملA class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras
We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps. We prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous. We also study the relationship between approximately mu...
متن کاملExtensions of the Multiplicative Penalty Function Method for Linear Programming
We shall extend Iri's multiplicative penalty function method for linear programming [41 so that it can handle the problem of unknown optimum value of the objective function, without solving both primal and dual problems simultaneously, and generate convergent dual solutions. By making use of these dual variables, lower bounds of the optimum objective function value are updated efficiently, whic...
متن کاملApplicability of Laplace Decomposition Method for Solving Certain Differential - Difference Equation of Order (1, 2)
Laplace decomposition method is based on Laplace transform method and Adomian decomposition method. In this paper we show that the method is applicable to certain successive interval valued linear as well as nonlinear differential-difference equations of order (1, 2), that means the differential is of order one and the difference is of order two. It is also shown that the method gives exact sol...
متن کاملMultiplicative Renormalization and Generating Functions I
Let μ be a probability measure on the real line with finite moments of all orders. Apply the Gram-Schmidt orthogonalization process to the system {1, x, x, . . . , xn, . . . } to get orthogonal polynomials Pn(x), n ≥ 0, which have leading coefficient 1 and satisfy (x − αn)Pn(x) = Pn+1(x) + ωnPn−1(x). In general it is almost impossible to use this process to compute the explicit form of these po...
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: Communications on Stochastic Analysis
سال: 2008
ISSN: 0973-9599
DOI: 10.31390/cosa.2.3.02