Open AccessA Study on the Approximations of Bounded Functions in the Locally Global Spaces (L δ ,P ), (0 < P ≤ 1)
Author(s) -
Nadia J Mohamed
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1897/1/012039
Subject(s) - algorithm , mathematics
The purpose of the present paper is to evaluate the error of the approximation of the function F defined in [0,1] by Bernstein polynomial in L P space (0 < P ≤ 1). We study the direct relation between the degrees of approximation of Riemann integrable functions with respect to algebraic polynomials with average modulus of smoothness τ 2 ( f , Δ 1 j ) the locally global spaces ( L δ,P ), (0 < P ≤ 1) wich is importance for the approximations theory.