Abstract
Asymptotic expansions in powers of δ as δ → +∞ of the series
where β ∈ ℤ, α, a, b > 0, and r ∈ ℂ, while Q is an algebraic polynomial satisfying the condition Q(0) = 0, are obtained. In special cases, these series arise from the approximation of periodic differentiable functions by the Riesz and Cesàro means.
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Original Russian Text © V. P. Zastavnyi, 2013, published in Matematicheskie Zametki, 2013, Vol. 93, No. 1, pp. 45–55.
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Zastavnyi, V.P. Asymptotics of series arising from the approximation of periodic functions by Riesz and Cesàro means. Math Notes 93, 58–68 (2013). https://doi.org/10.1134/S0001434613010069
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DOI: https://doi.org/10.1134/S0001434613010069