Abstract
It is shown that the approximation rate of continuous functions by Vallée Poussin means \(V_{n,m}^\alpha (f)\) of special series partial sums (α is a parameter in special series construction) is of the order of the best approximation provided \(\frac {1}{2}<\alpha <\frac {3}{2}\), m ≍ n.
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Magomed-Kasumov, M.G. (2021). Approximation Properties of Vallée Poussin Means for Special Series of Ultraspherical Jacobi Polynomials. In: Kusraev, A.G., Totieva, Z.D. (eds) Operator Theory and Differential Equations. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-49763-7_10
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DOI: https://doi.org/10.1007/978-3-030-49763-7_10
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