An approximation theorem for functionals, with applications in continuum mechanics

1960 ◽  
Vol 6 (1) ◽  
pp. 355-370 ◽  
Author(s):  
Bernard D. Coleman ◽  
Walter Noll
Keyword(s):  
Continuum Mechanics ◽  
Approximation Theorem

A First Course in Continuum Mechanics

2001 ◽  
Author(s):  
Oscar Gonzalez ◽  
Andrew M. Stuart
Keyword(s):  
Continuum Mechanics

Approximation in statistical sense to B -continuous functions by positive linear operators

2010 ◽  
Vol 47 (3) ◽  
pp. 289-298 ◽  
Author(s):  
Fadime Dirik ◽  
Oktay Duman ◽  
Kamil Demirci
Keyword(s):  
Compact Subset ◽  
Real Line ◽  
Statistical Convergence ◽  
Approximation Theorem ◽  
Continuous Functions ◽  
Linear Operators ◽  
Positive Linear Operators ◽  
Statistical Approximation ◽  
Classical Version ◽  
Statistical Sense

In the present work, using the concept of A -statistical convergence for double real sequences, we obtain a statistical approximation theorem for sequences of positive linear operators defined on the space of all real valued B -continuous functions on a compact subset of the real line. Furthermore, we display an application which shows that our new result is stronger than its classical version.

Sign in / Sign up

Export Citation Format

Share Document