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Showing 1 to 6 of 6 for “"Trigonometric series"”.
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Triple Trigonometric Series and Their Application to Mixed Boundary Value Problems
… dissertation the author investigates some triple trigonometric series which occur in the solution of mixed boundary value problems in elasticity and potential theory. By choosing a suitable integral representation for the sequence of unknown constants, the problem is reduced to solving a singular …
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A simple presentation of Fourier's Series
… functions by meansof convergent sine or cosine series, - generally classed as Fourier's Series. This seems desirable because of the growing importance of trigonometric series in their application to applied mathematics,along with their historical value in the development of the theory of …
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Density estimation with Kullback-Leibler loss
… that we consider are polynomials, splines, and trigonometric series. Bounds on the relative entropy (Kullback-Leibler number) between the true density and the estimator are obtained and rates of convergence are established for log-density functions assumed to have square integrable derivatives. …
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ΧΑΡΑΚΤΗΡΙΣΜΟΣ ΔΥΝΑΜΟΣΕΙΡΩΝ ΜΕ ΜΕΡΙΚΑ ΑΘΡΟΙΣΜΑΤΑ ΠΑΝΩ ΣΕ ΠΕΠΕΡΑΣΜΕΝΟ ΠΛΗΘΟΣ ΚΥΚΛΩΝ
LET K BE THE CLASS OF TRIGONOMETRIC SERIES OF POWER TYPE, I.E. TAYLOR SERIES Σ C ZN FOR Z=E IX, WHOSE PARTIAL SUMS FOR ALL X IN E, WHERE E IS A NONDENUMERABLESUBSET OF (0,2Π) LIE ON A FINITE NUMBER OF CIRCLES (A PRIORI DEPENDINGON X) IN THE COMPLEX PLANE. THE MAIN RESULT OF THIS PAPER IS THAT FOR …
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The density of complex zeros of random sums
… family of random sums, such as truncated random trigonometric series and random orthogonal polynomials on the unit circle. We further study the level crossings and answer the question about the expected number of complex zeros for coefficients with nonvanishing mean values and distinct variances.
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Buckling response of symmetrically laminated composite plates having a trapezoidal planform area
… plane displacement is approximated by a double trigonometric series. This analysis is posed in terms of four nondimensional parameters representing orthotropic and anisotropic material properties, and two nondimensional parameters representing geometric properties. With nondimensionalization, …