scholarly journals On inequalities of Kolmogorov type for the functions being analytic in the unit bicircle

2013 ◽  
Vol 21 ◽  
pp. 61
Author(s):  
S.B. Vakarchuk ◽  
M.B. Vakarchuk
Keyword(s):  
Sharp Inequality ◽  
Complex Variables ◽  
Kolmogorov Type

The sharp inequality of Kolmogorov type has been obtained in the space $\mathfrak{B}(U_2)$ for functions of two complex variables analytic in the unit bicircle.

scholarly journals On inequalities of Kolmogorov type for the functions being analytic in the disk

2012 ◽  
Vol 20 ◽  
pp. 82
Author(s):  
S.B. Vakarchuk ◽  
M.B. Vakarchuk
Keyword(s):  
Unit Disk ◽  
Bergman Space ◽  
Complex Plane ◽  
Sharp Inequality ◽  
Kolmogorov Type

Sharp inequality of Kolmogorov type is obtained in the Bergman space $B_2$ for functions being analytic in the unit disk. The application of this inequality to problems of the theory of approximation in the complex plane is presented too.

scholarly journals Inequalities of Kolmogorov type for fractional derivatives of multivariable functions

2021 ◽  
Vol 16 ◽  
pp. 3
Author(s):  
V.F. Babenko ◽  
T.V. Matveeva
Keyword(s):  
Fractional Derivatives ◽  
Sharp Inequality ◽  
Lipschitz Spaces ◽  
Kolmogorov Type ◽  
Variable Function ◽  
Derivatives Of ◽  
Marchaud Derivative

We prove new sharp inequality of Kolmogorov type that estimates the norm of mixed fractional Marchaud derivative of n-variable function by C-norm of this function and its norms in Lipschitz spaces.

scholarly journals On sharp inequality of Kolmogorov type for functions of low smoothness from the class $L_1^r(T)$

2021 ◽  
Vol 15 ◽  
pp. 101
Author(s):  
V.A. Kofanov ◽  
V.Ye. Miropolskii
Keyword(s):  
Sharp Inequality ◽  
Periodic Functions ◽  
Kolmogorov Type

We obtain new sharp inequality of Kolmogorov type for differentiable periodic functions $x \in L_1^3$.

Nonequilibrium Kolmogorov-type particle distributions and their applications

2013 ◽  
Vol 56 (1) ◽  
Author(s):  
Vladimir E. Zakharov ◽  
Vyacheslav I. Karas'
Keyword(s):  
Kolmogorov Type ◽  
Particle Distributions ◽  
Type Particle

Sensitivity analysis for Navier-Stokes equations on unstructured meshes using complex variables

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 56-63
Author(s):  
W. Kyle Anderson ◽  
James C. Newman ◽  
David L. Whitfield ◽  
Eric J. Nielsen
Keyword(s):  
Sensitivity Analysis ◽  
Stokes Equations ◽  
Unstructured Meshes ◽  
Complex Variables ◽  
Navier Stokes ◽  
Navier Stokes Equations

scholarly journals Efficient Construction of Discrete Adjoint Operators on Unstructured Grids Using Complex Variables

AIAA Journal ◽  
2006 ◽  
Vol 44 (4) ◽  
pp. 827-836 ◽  
Author(s):  
Eric J. Nielsen ◽  
William L. Kleb
Keyword(s):  
Unstructured Grids ◽  
Complex Variables ◽  
Discrete Adjoint ◽  
Efficient Construction ◽  
Adjoint Operators

scholarly journals Meromorphic or Holomorphic Completion of a Reinhardt Domain

1970 ◽  
Vol 38 ◽  
pp. 1-12 ◽  
Author(s):  
Eiichi Sakai
Keyword(s):  
Meromorphic Function ◽  
Power Series ◽  
Meromorphic Functions ◽  
Integral Formula ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Reinhardt Domain ◽  
Continuity Theorem ◽  
Cauchy’S Integral Formula ◽  
Long Time

In the theory of functions of several complex variables, the problem about the continuation of meromorphic functions has not been much investigated for a long time in spite of its importance except the deeper result of the continuity theorem due to E. E. Levi [4] and H. Kneser [3], The difficulty of its investigation is based on the following reasons: we can not use the tools of not only Cauchy’s integral formula but also the power series and there are indetermination points for the meromorphic function of many variables different from one variable. Therefore we shall also follow the Levi and Kneser’s method and seek for the aspect of meromorphic completion of a Reinhardt domain in Cn.

Kolmogorov-Type Inequalities for Fractional Derivatives on the Half Line

2014 ◽  
Vol 66 (1) ◽  
pp. 77-85
Author(s):  
D. A. Levchenko
Keyword(s):  
Fractional Derivatives ◽  
Half Line ◽  
Kolmogorov Type
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