Approximation for a generalization of Bernstein operators

Approximation for a generalization of Bernstein operators

Abstract In this paper, we give a direct approximation theorem, inverse theorem, and equivalent theorem for a generalization of Bernstein operators in the space L p [ 0 , 1 ] $L_{p}[0,1]$ ( 1 ≤ p ≤ ∞ $1\leq p \leq\infty$ ).

Bibliographic Details
Main Authors: Guofen Liu, Xiuzhong Yang
Format: Article
Language:English
Published: SpringerOpen 2016-08-01
Series:Journal of Inequalities and Applications
Subjects:
generalized Bernstein-Kantorovich operators
modulus of smoothness
K-functional
equivalent approximation theorem
Online Access:http://link.springer.com/article/10.1186/s13660-016-1147-4

Internet

http://link.springer.com/article/10.1186/s13660-016-1147-4

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