The modulus of continuity and the best approximation over the dyadic group

1992 ◽  
Vol 59 (1-2) ◽  
pp. 115-120 ◽  
Author(s):  
J. Tateoka
Keyword(s):  
Modulus Of Continuity ◽  
Best Approximation ◽  
The Best Approximation ◽  
Dyadic Group

scholarly journals On approximation by trigonometrical polynomials in $L_2$ space

2016 ◽  
Vol 24 ◽  
pp. 89
Author(s):  
O.V. Polyakov
Keyword(s):  
Modulus Of Continuity ◽  
Best Approximation ◽  
Generalized Modulus Of Continuity ◽  
Jackson Type ◽  
The Best Approximation ◽  
Differentiable Functions

We obtain certain inequalities of Jackson type, connecting the value of the best approximation of periodic differentiable functions and the generalized modulus of continuity of the highest derivative.

Modulus of Continuity and Best Approximation with Respect to Vilenkin-Like Systems in Some Function Spaces

2006 ◽  
Vol 13 (2) ◽  
pp. 315-332
Author(s):  
István Mező
Keyword(s):  
Fourier Series ◽  
Modulus Of Continuity ◽  
Lebesgue Space ◽  
Best Approximation ◽  
Acta Math ◽  
Function Spaces ◽  
Vilenkin Group ◽  
Strong Connection ◽  
The Best Approximation

Abstract We rephrase Fridli's result [Fridli, Acta Math. Hungar. 45: 393–396, 1985] on the modulus of continuity with respect to a Vilenkin group in the Lebesgue space. We show that this result is valid in the logarithm space and for Vilenkin-like systems. In addition, we prove that there is a strong connection between the best approximation of Fourier series and the modulus of continuity, not only in the Lebesgue space [Gát, Acta Math. Acad. Paedagog. Nyhzi. (N.S.) 17: 161–169, 2001] but in the logarithm space too. We formulate two variable generalizations of the obtained results, which have not been known till now even in the Walsh case.

Intracranial volume-pressure relationship in man

1982 ◽  
Vol 56 (4) ◽  
pp. 524-528 ◽  
Author(s):  
Joseph Th. J. Tans ◽  
Dick C. J. Poortvliet
Keyword(s):  
Best Approximation ◽  
Continuous Monitoring ◽  
Fluid Pressure ◽  
Constant Term ◽  
Volume Index ◽  
Intracranial Volume ◽  
Content Type ◽  
The Best Approximation ◽  
Ventricular Fluid Pressure ◽  
Fine Print

✓ The pressure-volume index (PVI) was determined in 40 patients who underwent continuous monitoring of ventricular fluid pressure. The PVI value was calculated using different mathematical models. From the differences between these values, it is concluded that a monoexponential relationship with a constant term provides the best approximation of the PVI.

scholarly journals The best approximation and composition with inner functions.

1995 ◽  
Vol 42 (2) ◽  
pp. 367-378 ◽  
Author(s):  
M. Mateljević ◽  
M. Pavlović
Keyword(s):  
Best Approximation ◽  
Inner Functions ◽  
The Best Approximation

scholarly journals The Best Approximation of an Objective State With a Given Set of Quantum States

2021 ◽  
pp. 2100407
Author(s):  
Li‐qiang Zhang ◽  
Nan‐nan Zhou ◽  
Chang‐shui Yu
Keyword(s):  
Best Approximation ◽  
Quantum States ◽  
The Best Approximation ◽  
Objective State
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