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An estimate of the integral of quasisymmetric functions
1987It 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
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Estimates of trigonometric integrals
Mathematical Notes of the Academy of Sciences of the USSR, 1986The 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}, \
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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.
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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.
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Integrated estimates of accuracy
Measurement Techniques, 1995An 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.
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Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation
, 2012L. G. Farah, F. Rousset, N. Tzvetkov
semanticscholar +1 more source
Nonlinear parabolic problems with lower order terms and related integral estimates
, 2012Agnese Di Castro, G. Palatucci
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Quantitative Matrix Weighted Estimates for Certain Singular Integral Operators
Journal of Mathematical Analysis and Applications, 2022Israel P. Rivera-Ríos, Pamela Muller
exaly

