Results 71 to 80 of about 186,989 (178)

Approximation by homogeneous polynomials

Journal of Approximation Theory, 2013
Uniform approximations by even degree homogeneous polynomials are considered. For a centrally symmetric convex set with nonempty interior, all even continuous functions on its boundary (in two space dimensions; the problem is open for higher dimensions) can be uniformly approximated by them. This is a new, more elementary proof of this fact.
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A generalization of Phillips operators by using the Appell polynomials of class A ( 2 ) $A^{(2)}$

Journal of Inequalities and Applications
The current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A ( 2 ) $A^{(2)}$ class Appell polynomials.
Melek Sofyalıoğlu Aksoy
doaj   +1 more source

Best multiplier Approximation in L_(p,∅_n ) (B)

Al-Mustansiriyah Journal of Science, 2019
The purpose of this paper is to find best multiplier approximation of unbounded functions in L_(p,∅_n ) –space by using Trigonometric polynomials and by de la Vallee- Poussin operators.
Saheb K. Al-Saidy, Naseif J. AL-Jawari, Ali Hussein Zaboon   +2 more
doaj   +1 more source

The Approximation of Functions of Several Variables with Bounded p-Fluctuation by Polynomials in the Walsh System

Mathematics
This paper presents direct and inverse theorems concerning the approximation of functions of several variables with bounded p-fluctuation using Walsh polynomials.
Talgat Akhazhanov, Dauren Matin, Zhuldyz Baituyakova   +2 more
doaj   +1 more source

A new numerical scheme for solving system of Volterra integro-differential equation

Alexandria Engineering Journal, 2018
In this article, we apply Genocchi polynomials to solve numerically a system of Volterra integro-differential equations. This is done by approximating functions using Genocchi polynomials and derivatives using Genocchi polynomials operational matrix of ...
Jian Rong Loh, Chang Phang
doaj   +1 more source

Equivalence between various Shape Preserving Approximations of periodic functions

Researches in Mathematics
We show that the validity of Jackson-type estimates in comonotone and coconvex approximations of continuous $2\pi$-periodic functions by trigonometric polynomials is equivalent to the validity of the corresponding estimates of approximation by continuous
D. Leviatan, O.V. Motorna, I.O. Shevchuk
doaj   +1 more source

METHODS OF APPROXIMATION OF FUNCTIONS BY GENERALIZED POLYNOMIALS IN NUMERICAL ANALYSIS PROBLEMS RELATED TO CALCULATIONS ON APPROXIMATE DATA

Наука. Инновации. Технологии, 2022
Introduction: the methods of representation of functions given approximately by their singular integrals in relation to approximation problems and numerical methods for solving boundary value problems for differential equations are Investigated.
Igor Eduardovich Naats, Victoria Igorevna Naats, Elena Pavlovna Yartseva   +2 more
doaj  

Approximating a Norm by a Polynomial [PDF]

, 2003
We prove that for any norm |*| in the d-dimensional real vector space V and for any odd n>0 there is a non-negative polynomial p(x), x in V of degree 2n such that p^{1/2n}(x) < |x| < c(n,d) p^{1/2n}(x), where c(n,d)={n+d-1 choose n}^{1/2n}. Corollaries and polynomial approximations of the Minkowski functional of a convex body are discussed.
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Exact orders in simultaneous approximation by complex Bernstein-Stancu polynomials

Journal of Numerical Analysis and Approximation Theory, 2008
In this paper the exact orders in approximation by the complex Bernstein-Stancu polynomials (depending on two parameters) and their derivatives on compact disks are obtained.
Sorin G. Gal
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Approximation by Polynomials [PDF]

, 2016
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