Results 141 to 150 of about 527 (171)
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1D and 2D economical FIR filters generated by Chebyshev polynomials of the first kind
International Journal of Electronics, 2013Christoffel–Darboux formula for Chebyshev continual orthogonal polynomials of the first kind is proposed to find a mathematical solution of approximation problem of a one-dimensional (1D) filter function in the z domain. Such an approach allows for the generation of a linear phase selective 1D low-pass digital finite impulse response (FIR) filter ...
Vlastimir Dragoljub Pavlović +2 more
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Analysis of time-delay systems via shifted Chebyshev polynomials of the first and second kinds
International Journal of Systems Science, 1988A novel and general approach for obtaining the delay operational matrix of shifted Chebyshev polynomials of first or second kind is presented. This operational matrix is exact in the sense that it does not involve any approximation. Next, this paper shows the application of the delay operational matrix in the analysis of time-delay systems.
B. M. MOHAN, K. B. DATTA
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Differential Equations, 2018
This paper deals with polynomials $T_{r,n}(x)$ generated by Chebyshev polynomials $T_n(x)$ and forming a Sobolev orthonormal system with an inner product. The paper establishes that the Fourier sums of the mentioned polynomials give an efficient tool for solving the Cauchy problem for ordinary differential equations approximately.
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This paper deals with polynomials $T_{r,n}(x)$ generated by Chebyshev polynomials $T_n(x)$ and forming a Sobolev orthonormal system with an inner product. The paper establishes that the Fourier sums of the mentioned polynomials give an efficient tool for solving the Cauchy problem for ordinary differential equations approximately.
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Chebyshev Polynomials of the First Kind for Solving a Novel Fractional Inverse Problems
This research investigates an inverse problem related to a fractional partial differential equation of order α ∈(0 , 2]. This equation is connected to a differential equation defined by Chebyshev polynomials of the first kind.Mohammed Elamine Beroudj +1 more
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Polynomials Associated with Chebyshev Polynomials of the First Kind
The Fibonacci Quarterly, 1977openaire +1 more source
Chebyshev Polynomials of the First Kind and Applications in Tomography
Nicholas E. Protonotarios +3 moreopenaire +1 more source