Results 61 to 70 of about 4,343 (294)
Journal of Mathematical Analysis and Applications, 1990 The abscissa of the point of intersection of the tangents of the graph of a convex function at two points is a mean-value of the abscissae of those two points. As generalizations, the author defines mean-values as abscissae of the point of intersection of Taylor or Hermite polynomials of odd degree n to \(C^{n+1}\) functions, convex of order n, at two ...
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A Numerical Approach Based on Taylor Polynomials for Solving a Class of Nonlinear Differential Equations [PDF]
, 2018 In this study, a matrix method based on Taylor polynomials and collocation points is presented for the approximate solution of a class of nonlinear differential equations, which have many applications in mathematics, physics and engineering.
Kaya, S. O., Güler, Coşkun
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On Some Cauchy Type Mean-Value Theorems with Applications
Communications in Advanced Mathematical SciencesSome Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 An iterative procedure for numerical integration of boundary-value problems for nonlinear ordinary differential equations of the second order of arbitrary structure is suggested.
Vladimir N Maklakov
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 The paper includes the well-known matrix method of numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations with variable coefficients, which provides retaining an arbitrary number of Taylor series ...
Vladimir Nikolaevich Maklakov
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Systematic parametrization of the leading B-meson light-cone distribution amplitude
Journal of High Energy Physics, 2022 We propose a parametrization of the leading B-meson light-cone distribution amplitude (LCDA) in heavy-quark effective theory (HQET). In position space, it uses a conformal transformation that yields a systematic Taylor expansion and an integral bound ...
Thorsten Feldmann +2 more
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Laser &Photonics Reviews, EarlyView.An optical approach is proposed for real‐time and high‐precision detection of the magnetostrictive deformation of an yttrium‐iron‐garnet sphere in three dimensions, based on the deformation induced spatial high‐order modes of the scattered field, postselection, and balanced homodyne detection.
Xiaomin Liu +5 more
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Controlling the Center of Mass Motion of Levitated Particles Using Structured Wavefronts
Laser &Photonics Reviews, EarlyView.Optically levitated particles have great potential for quantum‐enhanced sensing. Precise control of the trapping beam is crucial to improve the stability and confinement of these systems. Here, we study how structured wavefronts can be used to control the center‐of‐mass motion of levitated particles, enhancing trap stiffness and enabling stable ...
Shah Jee Rahman +7 more
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Extracting numerical factors of multivariate polynomials from Taylor expansions [PDF]
, 2009 : We present a method to extract factors of multivariate polynomials with complex coefficients in floating point arithmetic. We establish the connection between the reciprocal of a multivariate polynomial and its Taylor expansion.
Lee, Wen-shin, Cuyt, Annie A.M.
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Multivariate approximation by a combination of modified Taylor polynomials [PDF]
, 2006 We study an approximation of a multivariate function f by an operator of the form ∑i=1NT˜r[f,xi](x)φi(x), where φ1,…,φN are certain basis functions and T˜r[f,xi](x) are modified Taylor polynomials of degree r expanded at xi. The modification is such that
Guessab, Allal +2 more
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