Fractional integrodifferentiation in Hölder classes of arbitrary order

1995 ◽  
Vol 2 (2) ◽  
pp. 141-150 ◽  
Author(s):  
N. K. Karapetyants ◽  
A. I. Ginzburg
Keyword(s):  
Arbitrary Order ◽  
Hölder Classes ◽  
Holder Classes ◽  
Fractional Integrodifferentiation

Fractional Integrodifferentiation in Hölder Classes of Arbitrary Order

1995 ◽  
Vol 2 (2) ◽  
pp. 141-150
Author(s):  
N. K. Karapetyants ◽  
A. I. Ginzburg
Keyword(s):  
Fractional Integral ◽  
Arbitrary Order ◽  
Variable Order ◽  
Hölder Classes ◽  
Holder Classes ◽  
Fractional Integrodifferentiation

Abstract Hölder classes of variable order μ(x) are introduced and it is shown that the fractional integral has Hölder order μ(x) + α (0 < α, μ +, α + μ + < 1, μ + = sup μ(x)).

Hölder Classes in Lavrent'ev Domains

2004 ◽  
Vol 120 (5) ◽  
pp. 1791-1802
Author(s):  
N. A. Shirokov
Keyword(s):  
Hölder Classes ◽  
Holder Classes

The reserse Hölder classes in martingale setting

2004 ◽  
Vol 9 (3) ◽  
pp. 273-277
Author(s):  
Zuo Hong-liang ◽  
Liu Pei-de
Keyword(s):  
Hölder Classes ◽  
Holder Classes

scholarly journals Improvement of smoothness of functions by bilinear operators, continuous by measure

2017 ◽  
Vol 25 ◽  
pp. 80
Author(s):  
A.M. Pas'ko
Keyword(s):  
Translation Invariant ◽  
Bilinear Operators ◽  
Hölder Classes ◽  
Holder Classes

The sequences of the translation invariant by the both arguments, continuous bilinear operators $T_n\colon L_1 \times L_1 \rightarrow L_0$ has been considered. The improvement of the smoothness of the functions belonging to the Lipschitz-Holder classes has been established.

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