Results 31 to 40 of about 124,064 (205)
Least Squares Method For Solving Integral Equations With Multiple Time Lags [PDF]
Engineering and Technology Journal, 2010 The main purpose of this work is to propose an approximate method to solveintegral equation with multiple time lags (IEMTL) namely least squares methodwith aid of Chebyshev polynomials of (first, second, third, and fourth)kinds.Example is given as an ...
Suha N. Shehab +2 more
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Shifted Chebyshev operational matrices to solve the fractional time-delay diffusion equation
Partial Differential Equations in Applied Mathematics, 2023 In this paper, Chebyshev operational matrices collocation technique is proposed for solution of variable order derivative within the fractional time-delay diffusion equation.
Adnan K. Farhood, Osama H. Mohammed
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Asymptotics of Chebyshev polynomials, V. residual polynomials [PDF]
The Ramanujan Journal, 2021 We study residual polynomials, $R_{x_0,n}^{(\mathfrak{e})}$, $\mathfrak{e}\subset\mathbb{R}$, $x_0\in\mathbb{R}\setminus\mathfrak{e}$, which are the degree at most $n$ polynomials with $R(x_0)=1$ that minimize the $\sup$ norm on $\mathfrak{e}$. New are upper bounds on their norms (that are optimal in some cases) and Szegő--Widom asymptotics under ...
Jacob S. Christiansen +2 more
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An Extension of the Chebyshev Polynomials [PDF]
Complex Analysis and Operator Theory, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS
Проблемы анализа, 2020 We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
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Some results on complex $(p,q)- $extnsion Chebyshev wavelets [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we propose a generalized formula for well-known functions such as $(p,q)$-Chebyshev polynomials. Our consideration is focused on determining properties of generalized Chebyshev polynomials of the first and second kind, sparking interest ...
H. Mazaheri, A.W. Safi, S.M. Jesmani
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On the Polynomial Multiplication in Chebyshev Form
IEEE Transactions on Computers, 2012 We give an efficient multiplication method for polynomials in Chebyshev form. This multiplication method is different from the previous ones. Theoretically, we show that the number of multiplications is at least as good as Karatsuba-based algorithm. Moreover, using the proposed method, we improve the number of additions slightly.
Sedat Akleylek +2 more
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An approximate solution of the Blasius problem using spectral method
Partial Differential Equations in Applied MathematicsThis paper aims at finding the numerical approximation of a classical Blasius flat plate problem using spectral collocation method. This technique is based on Chebyshev pseudospectral approach that involves the solution is approximated using Chebyshev ...
Zunera Shoukat +6 more
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Properties of the second-kind Chebyshev polynomials of complex variable
Researches in Mathematics, 2020 We construct a system of functions biorthogonal with Chebyshev polynomials of the second kind on closed contours in the complex plane. Properties of these functions and sufficient conditions of expansion of analytic functions into series in Chebyshev ...
O.V. Veselovska +2 more
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Chebyshev gradient polynomials for high resolution surface and wavefront reconstruction
, 2018 A new data processing method based on orthonormal rectangular gradient polynomials is introduced in this work. This methodology is capable of effectively reconstructing surfaces or wavefronts with data obtained from deflectometry systems, especially ...
Oh, Chang Jin +5 more
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