On the Integral of the Lebesgue Function of Interpolation
نویسندگان
چکیده
;.Ja, b) = max Z A(x)1 if -I -a < b -1 . a~xs6 k=1 The quantity 1) called Lebesgue constant plays an important role in the theory of Lagrange interpolation ; as G . FABER [1] showed 1 (2) ~ n (l, 1) -c 1 log n for an arbitrary system of nodes (1). Moreover, S . BERNSTEIN [2] proved that (3) Acta Mathematica Academiae Scientiarum Hungaricae Tomus 32 (1-2), (1978), 191-195. ON THE INTEGRAL OF THE LEBESGUE FUNCTION OF INTERPOLATION
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On the Lebesgue constant for Lagrange interpolation on equidistant nodes
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