### Explicit formulas for Bernoulli and Euler numbers.

Vella, David C. (2008)

Integers

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Vella, David C. (2008)

Integers

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The Electronic Journal of Combinatorics [electronic only]

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Dohmen, Klaus, Tittmann, Peter (2004)

The Electronic Journal of Combinatorics [electronic only]

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David Gove (1993)

Acta Arithmetica

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Integers

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Killpatrick, Kendra (2005)

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Archivum Mathematicum

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In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order $k$ $(k\ge 2)$.