The approximation operators with sigmoidal functions

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Approximation of Functions by Product Operators

In the present paper, two quite new reults on the degree of approximation of a function f belonging to the class Lip(α, r), 1 ≤ r < ∞ and the weighted class W (Lr, ξ(t)), 1 ≤ r < ∞ by (C, 2)(E, 1) product operators have been obtained. The results obtained in the present paper generalize various known results on single operators.

متن کامل

Bernstein type operators with a better approximation for some functions

In this paper we construct new operators of Bernstein type with a better approximation than the classical Bernstein operator for some classes of functions on the whole interval [0,1]. Convergence of these operators and their shape preserving properties are discussed. We determine the subintervals in [0,1] in which the approximation order of constructed operators is better than that of the Berns...

متن کامل

Ridge Functions, Sigmoidal Functions and Neural Networks

This paper considers mainly approximation by ridge functions. Fix a point a 2 IR n and a function g : IR ! IR. Then the function f : IR n ! IR deened by f (x) = g(ax), x 2 IR n , is a ridge or plane wave function. A sigmoidal function is a particular example of the function g which closely resembles 1 at 1 and 0 at ?1. This paper discusses approximation problems involving general ridge function...

متن کامل

Approximation by network operators with logistic activation functions

This paper aims to study the construction and multivariate approximation of a class of network operators with logistic sigmoidal functions. First, a class of even and bell-shaped function with support on R is constructed by using appropriate translation and combination of the logistic function. Then, the constructed function is employed as activation function to construct a kind of so-called Ca...

متن کامل

Approximation by Superpositions of a Sigmoidal Function*

Abstr,,ct. In this paper we demonstrate that finite linear combinations of compositions of a fixed, univariate function and a set ofaffine functionals can uniformly approximate any continuous function of n real variables with support in the unit hypercube; only mild conditions are imposed on the univariate function. Our results settle an open question about representability in the class of sing...

متن کامل

ذخیره 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: Computers & Mathematics with Applications

سال: 2009

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2009.05.001