The Best Approximation by Using Bernstein's Polynomial in Lp [0,1]
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 7, Issue 2
Abstract
We estimate in this paper the degree of approximation of [0,1]by using Bernstein's polynomial involving on Ditizian-Totik modulus of smoothness . On the other hand, we consider this polynomial to obtain an equivalence approximation theorem with this modulus.
Authors and Affiliations
Ahmed Abbas Mezaal
NONPARAMETRIC TEST FOR UBACT CLASS OF LIFE DISTRIBUTION BASED ON U-STATISTIC
Based on U-statistic, testing exponentially versus used better than aged in convex tail ordering (UBACT) class of life distribution is introduced for complete and cen-sored data. Convergence of the proposed statistic to...
Semi-Bc-Continuous Functions in Topological Spaces
The concept of Semi-Bc-continuous functions in topological spaces is introduced and studied. Some of their characteristic properties are considered. Also we investigate the relationships between these classes of function...
On ma- Separation Axiom In Biminimal Space
This paper deals with the extension and development of some of the concepts of the separation axiom in topological space into biminimal spaces. In Addition, to give new results and theorems, supported by illustrative exa...
Information Measures and some Distribution Approximations.
The Fisher and Kullback- Liebler information measures were calculated from the approximation of a binomial distribution by both the Poisson and the normal distributions and are applied to the approximation of a Poisson d...
Evaluation of real denite integrals by using of mixed quadrature rules over a Triangular Domain
A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals over a triangular domain has been constructed.The relative ecienciesof the proposed mixed quadrature rule has been veried...