Results 21 to 30 of about 177,159,861 (211)

To Solution of Contact Problem for Rectangular Plate on Elastic Half-Space

Наука и техника, 2020
Until the present time there is no exact solution to the contact problem for a rectangular plate on an elastic base with distribution properties. Practical analogues of this design are slab foundations widely used in construction.
S. V. Bosakov
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Upper Bound for Lebesgue Constant of Bivariate Lagrange Interpolation Polynomial on the Second Kind Chebyshev Points

Journal of Mathematics, 2022
In the paper, we study the upper bound estimation of the Lebesgue constant of the bivariate Lagrange interpolation polynomial based on the common zeros of product Chebyshev polynomials of the second kind on the square −1,12. And, we prove that the growth
Juan Liu, Laiyi Zhu
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A characterization of continuous q-Jacobi, Chebyshev of the first kind and Al-Salam Chihara polynomials

Journal of Mathematical Analysis and Applications, 2022
The purpose of this note is to characterize those orthogonal polynomials sequences $(P_n)_{n\geq0}$ for which $$ π(x)\mathcal{D}_q P_n(x)=(a_n x+b_n)P_n(x)+c_n P_{n-1}(x),\quad n=0,1,2,\dots, $$ where $\mathcal{D}_q$ is the Askey-Wilson operator, $π$ is a polynomial of degree at most 2, and $(a_n)_{n\geq0}$, $(b_n)_{n\geq0}$ and $(c_n)_{n\geq0}$ are ...
K. Castillo, D. Mbouna, J. Petronilho
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Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials

Mathematics, 2019
The aim of this paper is to solve a class of non-linear fractional variational problems (NLFVPs) using the Ritz method and to perform a comparative study on the choice of different polynomials in the method.
Harendra Singh, Rajesh K. Pandey, Hari Mohan Srivastava   +2 more
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Complex Factorizations of the Lucas Sequences via Matrix Methods

Journal of Applied Mathematics, 2014
Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
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A new estimate for a quantity involving the Chebyshev polynomials of the first kind [PDF]

Journal of Mathematical Analysis and Applications, 2019
In this paper, we establish a new estimate (including lower and upper bounds) for an important quantity involved in the convergence analysis of smoothed aggregation algebraic multigrid methods. The new upper bound improves the existing ones. And our upper bound is optimal.
Xuefeng Xu, Chen-Song Zhang
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Some results on complex $(p,q)- $extnsion Chebyshev wavelets [PDF]

Journal of Mahani Mathematical Research
In 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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An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis [PDF]

Computational Algorithms and Numerical Dimensions, 2022
In this work, we consider a collocation method for solving the pantograph-type Volterra Hammerstein integral equations based on the first kind Chebyshev polynomials. We use the Lagrange interpolating polynomial to approximate the solution.
Hashem Saberi Najafi, Sayed Arsalan Sajjadi, Hossein Aminikhah   +2 more
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A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind [PDF]

Integral Transforms and Special Functions, 2016
We show that the only orthogonal polynomials with a generating function of the form $F(x z - αz^2)$ are the ultraspherical, Hermite, and Chebyshev polynomials of the first kind. For special $F$ for which this is the case, we then finish the classification of orthogonal polynomials with more general generating functions $F(x w(z) - R(z))$.
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Resultants Of Chebyshev Polynomials

, 2008
Recently, K. Dillcher and K. B. Stolarsky [Trans. Amer. Math. Soc. 357 (2004), 965-981] used algebraic methods to evaluate the resultant of two linear combinations of Chebyshev polynomials of the second kind.
Gishe, Jemal, Ismail, Mourad E.H.
core   +2 more sources