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Integration of multi-level dental diversity links macro-evolutionary patterns to ecological strategies across sharks. [PDF]
Zimm R, Tobias Santos V, Goudemand N.
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Detection of atrial fibrillation via artificial intelligence-assisted auscultation. [PDF]
Guo Y, Lin H, Chen H, Wu X, Luo Y.
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Mathematical Notes of the Academy of Sciences of the USSR, 1984
A Banach lattice E is called p-concave, \(1\leq ...
Novikov, I. Ya., Semenov, E. M.
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A Banach lattice E is called p-concave, \(1\leq ...
Novikov, I. Ya., Semenov, E. M.
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Acta Mathematica Hungarica, 2019
It is well known that if $${f \in L_{2}(0,1)}$$ is an arbitrary function ( $${{f(x) \nsim 0}, x \in [0,1]}$$
L. Gogoladze, V. Tsagareishvili
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It is well known that if $${f \in L_{2}(0,1)}$$ is an arbitrary function ( $${{f(x) \nsim 0}, x \in [0,1]}$$
L. Gogoladze, V. Tsagareishvili
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Mathematics of the USSR-Sbornik, 1981
Let be an orthonormal system of functions on the interval , and let the function . We investigate the question of the convergence or divergence (depending on the smoothness of the function ) of series of the form where or with .It is shown that in a certain sense, the assertions obtained are definitive for the Haar system.Bibliography: 14 titles.
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Let be an orthonormal system of functions on the interval , and let the function . We investigate the question of the convergence or divergence (depending on the smoothness of the function ) of series of the form where or with .It is shown that in a certain sense, the assertions obtained are definitive for the Haar system.Bibliography: 14 titles.
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Estimates of Fourier Coefficients
gmj, 2003Abstract Some well-known properties of the trigonometric system as well as of the Haar and Welsh systems are generalized to general orthonormal systems.
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Asymptotic Estimates of Fourier Coefficients
SIAM Journal on Mathematical Analysis, 1974Complex variable techniques are used to estimate the Fourier coefficients of functions expanded in series of Jacobi, Laguerre and Hermite polynomials.
Elliott, David, Tuan, P. D.
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The Mathematical Gazette, 2023
Recall that for a 2 π -periodic function f , the Fourier coefficients on the interval (–Π, Π) are and the Fourier series for
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Recall that for a 2 π -periodic function f , the Fourier coefficients on the interval (–Π, Π) are and the Fourier series for
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