Embedding theorems for Banach spaces of infinitely differentiable functions of several variables

1990 ◽  
Vol 47 (6) ◽  
pp. 525-533 ◽  
Author(s):  
G. S. Balashova
Keyword(s):  
Banach Spaces ◽  
Embedding Theorems ◽  
Differentiable Functions ◽  
Several Variables ◽  
Infinitely Differentiable Functions

scholarly journals An example on composite differentiable functions in infinite dimensions

1989 ◽  
Vol 40 (1) ◽  
pp. 91-95 ◽  
Author(s):  
J.A. Jaramillo
Keyword(s):  
Banach Spaces ◽  
Classical Result ◽  
Infinite Dimensions ◽  
Differentiable Functions ◽  
Infinitely Differentiable Functions

We present an example showing that a classical result due to Glaeser about the closedness of composition subalgebras of infinitely differentiable functions cannot be extended to the case of weakiy uniformly differentiable functions on Banach spaces.

scholarly journals General Norm Inequalities of Trapezoid Type for Fréchet Differentiable Functions in Banach Spaces

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1288
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Banach Spaces ◽  
Error Bounds ◽  
Norm Inequalities ◽  
Differentiable Functions ◽  
Fréchet Differentiable ◽  
General Norm

In this paper we establish some error bounds in approximating the integral by general trapezoid type rules for Fréchet differentiable functions with values in Banach spaces.

Approximations of differentiable functions of several variables

1990 ◽  
Vol 48 (3) ◽  
pp. 898-903
Author(s):  
S. B. Vakarchuk
Keyword(s):  
Differentiable Functions ◽  
Several Variables
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