Results 31 to 40 of about 507 (157)
The eigenvalues of one-speed neutrons in a slab with forward and backward scattering
Tehnički Glasnik, 2019 The eigenvalue spectrum is studied for one-speed neutrons in a slab with forward and backward scattering. First, the transport equation describing the interaction of neutrons in a system with general geometry is given.
Ökkeş Ege, Hakan Öztürk
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A new characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind
Journal of Mathematical Analysis and Applications, 2017 We show that the only polynomial sets with a generating function of the form F (xt -- R(t)) and satisfying a three-term recursion relation are the monomial set and the rescaled ultraspherical, Hermite, and Chebyshev polynomials of the first kind.
Mesk, Mohammed, Zahaf, Mohammed Brahim
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Characterization of the generalized Chebyshev-type polynomials of first kind
International Journal of Applied Mathematical Research, 2015 Orthogonal polynomials have very useful properties in the mathematical problems, so recent years have seen a great deal in the  field of approximation theory using orthogonal polynomials. In this paper, we characterize a sequence of the generalized Chebyshev-type polynomials of the first kind  \(\left\{\mathscr{T}_{n}^{(M,N)}(x)\right\}_{n\in\mathbb ...
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Solving change of basis from Bernstein to Chebyshev polynomials
Examples and CounterexamplesWe provide two closed-form solutions to the change of basis from Bernstein polynomials to shifted Chebyshev polynomials of the fourth kind and show them to be equivalent by applying Zeilberger’s algorithm. The first solution uses orthogonality properties
D.A. Wolfram
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A characterization of the four Chebyshev orthogonal families
International Journal of Mathematics and Mathematical Sciences, 2005 We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear ...
E. Berriochoa +2 more
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Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
Mathematics, 2021 The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences of polynomials and w-harmonic sequences of functions. In special cases,
Mihaela Ribičić Penava
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The Chebyshev Polynomials Of The First Kind For Analysis Rates Shares Of Enterprises
, 2023 Chebyshev polynomials of the first kind have long been used to approximate experimental data in solving various technical problems. Within the framework of this study, the dynamics of shares of eight Czech enterprises was analyzed by the Chebyshev polynomial decomposition: CEZ A.S. (CEZP), Colt CZ Group SE (CZG), Erste Bank (ERST), Komercni Banka (BKOM)
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Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds [PDF]
Advances in Difference Equations, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taekyun Kim +3 more
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Journal of Mathematics, 2022 In this paper, a new approach for solving the system of fractional integro-differential equation with weakly singular kernels is introduced. The method is based on a class of symmetric orthogonal polynomials called shifted sixth-kind Chebyshev ...
S. Yaghoubi, H. Aminikhah, K. Sadri
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پژوهشهای ریاضی, 2021 Introduction In this study, we consider the differential equation with aftereffect under the separated boundary conditions on a finite interval. In fact, we consider the Sturm-Liouville operator disorganized by a Volterra integral operator. We obtain the
Shahrbanoo Akbarpoor +2 more
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