Catalan's identity and Chebyshev polynomials of the second kind.
Udrea, Gheorghe (1995)
Portugaliae Mathematica
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Udrea, Gheorghe (1995)
Portugaliae Mathematica
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Stanković, Bogoljub (1992)
International Journal of Mathematics and Mathematical Sciences
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Amassad, Amina, Fabre, Caroline (2002)
International Journal of Mathematics and Mathematical Sciences
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Akagi, Goro (2004)
Abstract and Applied Analysis
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Mostafa Rachik, Ahmed Abdelhak (2002)
International Journal of Applied Mathematics and Computer Science
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With reference to the work of Verriest and Lewis (1991) on continuous finite-dimensional systems, the linear quadratic minimum-time problem is considered for discrete distributed systems and discrete distributed time delay systems. We treat the problem in two variants, with fixed and free end points. We consider a cost functional J which includes time, energy and precision terms, and then we investigate the optimal pair (N, u) which minimizes J.
Jacek Gulgowski (2014)
Open Mathematics
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We present an approximation method for Picard second order boundary value problems with Carathéodory righthand side. The method is based on the idea of replacing a measurable function in the right-hand side of the problem with its Kantorovich polynomial. We will show that this approximation scheme recovers essential solutions to the original BVP. We also consider the corresponding finite dimensional problem. We suggest a suitable mapping of solutions to finite dimensional problems to...
Udrea, Gheorghe (1996)
Portugaliae Mathematica
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Bui An Ton (2003)
Abstract and Applied Analysis
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Farrokhi D.G., M. (2008)
The Electronic Journal of Combinatorics [electronic only]
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