Lebesgue Constants for Some Interpolating L-Splines |
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| Authors: | S. I. Novikov |
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| Affiliation: | 1.Krasovskii Institute of Mathematics and Mechanics,Ural Branch of the Russian Academy of Sciences,Yekaterinburg,Russia |
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| Abstract: | We find exact values for the uniform Lebesgue constants of interpolating L-splines that are bounded on the real axis, have equidistant knots, and correspond to the linear thirdorder differential operator L3(D) = D(D2 + α2) with constant real coefficients, where α > 0. We compare the obtained result with the Lebesgue constants of other L-splines. |
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