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An estimate of the integral of quasisymmetric functions

1987
It is a well-known fact that an orientation preserving homeomorphism of the real axis onto itself, \(f: {\mathbb{R}}\to {\mathbb{R}}\), is a boundary correspondence of a quasiconformal mapping of the upper half-plane onto itself if and only if f is a quasisymmetric function, namely, f satisfies the following condition \[ \rho^{-1} \leq \frac{f(x+t)-f(x)
Partyka, Dariusz   +1 more
openaire   +1 more source

Estimates of trigonometric integrals

Mathematical Notes of the Academy of Sciences of the USSR, 1986
The author considers the trigonometric integral \[ I=I(\alpha_ 1,...,\alpha_ n)=\int^{1}_{0}\exp (2\pi i F(x)) dx\quad, \] where \(F(x)=\sum^{n}_{j=1}\alpha_ jx^{j+\theta}\), \(0\leq \theta \leq 1\), and obtains an upper bound for I (Theorem 1) depending on the maximum of \(| \alpha_ j| 's\), with the aid of the results due to \textit{G. I. Arkhipov}, \
openaire   +3 more sources

Estimate of Certain Integrals

2018
Our next big objective is the construction of Jacobi coordinates for the spectral curve Σ corresponding to some potential (u, uy) ∈Pot. Similarly as for the construction of the Jacobi variety for compact Riemann surfaces, our construction of the Jacobi variety for Σ in Chap.
openaire   +1 more source

Integrated estimates of accuracy

Measurement Techniques, 1995
An approach is considered to estimating the accuracy of basic types of measurements by comparing the effects at the output of real and ideal systems. The accuracy is estimated from the distribution of the measurement error probability density expressed in terms of the distributions of the investigated quantities and of the perturbing influences.
openaire   +1 more source

Global Cancer Statistics 2020: GLOBOCAN Estimates of Incidence and Mortality Worldwide for 36 Cancers in 185 Countries

Ca-A Cancer Journal for Clinicians, 2021
Rebecca L. Siegel   +2 more
exaly  

Estimation of an integral

Archiv der Mathematik, 1981
openaire   +1 more source

Quantitative Matrix Weighted Estimates for Certain Singular Integral Operators

Journal of Mathematical Analysis and Applications, 2022
Israel P. Rivera-Ríos, Pamela Muller
exaly  

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