Series Expansions
II. ORTHOGONAL SERIES EXPANSIONS AND OPERATIONAL
... orthogonal series expansions is well known as an alternative for approximation and representation of ...orthogonal series includes linear time varying/invariant systems, lumped and distributed ...
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Alternative Fourier Series Expansions with Accelerated Convergence
... Fourier series expansions. Unlike in classical Fourier series, the expansion coefficients herein are explicitly dependent not only on the function itself, but also on its derivatives at the ends of ...
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Pricing Early Exercise and Discrete Barrier Options by Fourier Cosine Series Expansions
... Fourier-cosine series expansions, called the COS method, introduced by us in [22], where we showed that it was highly efficient for pricing European op- ...Fourier-cosine series expansion, which has ...
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Shrinking targets for non-autonomous dynamical systems corresponding to Cantor series expansions
... The study of normal numbers and various statistical properties of real numbers with respect to large classes of Cantor series expansions dates back to P. Erd˝os and A. R´enyi [7, 8], and was continued by A. ...
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Nested derivatives: a simple method for computing series expansions of inverse functions
... We give an algorithm to compute the series expansion for the inverse of a given function. The algorithm is extremely easy to implement and gives the first N terms of the series. We show several examples of ...
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Continued fractions which correspond to two series expansions and the strong Hamburger moment problem
... The significance of finding such corresponding continued fractions was only realised when Frobenius and Pad~ arrived at general and elaborate techniques of obtaining rational approximant[r] ...
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A NOVEL PRICING METHOD FOR EUROPEAN OPTIONS BASED ON FOURIER COSINE SERIES EXPANSIONS
... 3. Pricing European Options. In this section, we derive the COS formula for European-style options by replacing the density function by its Fourier-cosine series. We make use of the fact that a density function ...
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A Study of Some Integral Problems Using Maple
... In the following, for the four types of integrals in this study, we propose some integrals and use Theorems 1, 2 to determine their Fourier series expansions. In addition, we evaluate some definite ...
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The spectrum of a class of almost periodic operators
... certain series expansions which arise naturally with the irrational rotation C ∗ ...These series expansions can be looked upon as noncommutative versions of Fourier series in two vari- ...
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Download Download PDF
... power series expansions and the Rayleigh-Ritz method for stability and free vibration analyses of axially functionally graded non-uniform beams resting on constant Winkler-Pasternak elastic ...power ...
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Legendre Approximation for Solving a Class of Nonlinear Optimal Control Problems
... Legendre series expansions together with the CGL points as collocation nodes ...Legendre series and the simplicity of the discretization are merits that make the approach very ...Legendre ...
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Title: The Derivatives of Two Types of Functions Authors: Chii-Huei Yu Country: Taiwan abstract pdf
... Next, aimed at the differential problem of the two types of functions in this study, we provide two functions and use Theorems 1, 2 to determine the Fourier series expansions of their any order derivatives ...
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A Review: Eulerian Video Motion Magnification
... The extracted signals are now amplified with some amplification factor (α). The motion magnification in temporal relies on the first-order Taylor series expansions. Reconstruction o[r] ...
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Inequalities of Some Trigonometric Functions
... power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and tangent function, six inequalities involving ...
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Nearly conconcentric Korteweg de Vries equation and periodic traveling wave solution
... Solitary wave solutions and cnoidal wave solutions are obtained The cnoidal wave solutions are shown to be representable as infinite sums of solitons by using Fourier series expansions a[r] ...
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Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
... Fourier series expansions of functions associated with ...Fourier series expansions, we can express those sums of finite products in terms of Bernoulli polynomials and obtain some identities by ...
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Fourier series of finite products of Bernoulli and Genocchi functions
... In this paper, we consider three types of functions given by products of Bernoulli and Genocchi functions and derive some new identities arising from Fourier series expansions associated with Bernoulli and ...
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Studying the Differential Problem with Maple
... Fourier series expansions of any order derivatives of these two types of functions by using differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order ...
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Controllability and nonlinearity
... In particular the natural question is : What can be done for a partial differential control system having a linearized control system at the equilibrium which is not controllable? The goal of this talk is to present ...
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Efficient Representatives of Some Transcendental Functions
... Taylor’s series expansions in variable x, Taylor’s series expansions in new variable w, Chebyshev and Legendre series expansions re- spectively for the first six non-zero ...
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