Article ID Journal Published Year Pages File Type
8053422 Applied Mathematics Letters 2018 9 Pages PDF
Abstract
In this paper, we present a new and sharper bound for the Legendre coefficients of differentiable functions and then provide a new bound on the approximation error of the truncated Legendre series in the uniform norm. An illustrative example is provided to demonstrate the sharpness of our new results.
Keywords
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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