caa a22 4500 386360464 CHVBK 20180307111913.0 cr unu---uuuuu 161130e198912 xx s 000 0 eng 10.1017/S0004972700017482 doi S0004972700017482 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700017482 On approximation by trigonometric Lagrange interpolating polynomials [Elektronische Daten] It is well-known that the approximation to f(x) C2π, by nth trigonometric Lagrange interpolating polynomials with equally spaced nodes in C2π, has an upper bound In(n)En(f), where En(f) is the nth best approximation of f(x). For various natural reasons, one can ask what might happen in Lp space? The present paper indicates that the result about the trigonometric Lagrange interoplating approximation in Lp space for 1 < p < ∞ may be "bad” to an arbitrary degree. Copyright © Australian Mathematical Society 1989 Xie T.F. Dalhousie University Department of Math Stats and Computer Science Halifax Nova Scotia Canada B3H 3J5 Zhou S.P. Dalhousie University Department of Math Stats and Computer Science Halifax Nova Scotia Canada B3H 3J5 Bulletin of the Australian Mathematical Society Cambridge University Press 40/3(1989-12), 425-428 0004-9727 40:3<425 1989 40 BAZ https://doi.org/10.1017/S0004972700017482 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700017482 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Xie T.F. Dalhousie University Department of Math Stats and Computer Science Halifax Nova Scotia Canada B3H 3J5 NATIONALLICENCE 700 1- Zhou S.P. Dalhousie University Department of Math Stats and Computer Science Halifax Nova Scotia Canada B3H 3J5 NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 40/3(1989-12), 425-428 0004-9727 40:3<425 1989 40 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge