Dragnev, P. D.; Legg, D. A.; Townsend, D. W. Polynomial approximation of the checkmark function. (English) Zbl 1065.41012 Neamtu, Marian (ed.) et al., Advances in constructive approximation: Vanderbilt 2003. Proceedings of the international conference, Nashville, TN, USA, May 14–17, 2003. Brentwood, TN: Nashboro Press (ISBN 0-9728482-2-3/hbk). Modern Methods in Mathematics, 149-164 (2004). Reviewer: Victor Milman (Minsk) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{P. D. Dragnev} et al., in: Advances in constructive approximation: Vanderbilt 2003. Proceedings of the international conference, Nashville, TN, USA, May 14--17, 2003. Brentwood, TN: Nashboro Press. 149--164 (2004; Zbl 1065.41012)
Legg, D.; Pan, Y. Discontinuity of best harmonic approximants. (English) Zbl 0920.41015 J. Approximation Theory 96, No. 2, 202-212 (1999). Reviewer: Gerald Schmieder (Oldenburg) MSC: 41A50 31A05 PDFBibTeX XMLCite \textit{D. Legg} and \textit{Y. Pan}, J. Approx. Theory 96, No. 2, 202--212 (1999; Zbl 0920.41015)
Dragnev, P.; Legg, D.; Townsend, D. Generalized Bernstein-Erdős conjecture. (English) Zbl 0985.41013 Chui, Charles K. (ed.) et al., Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3-6, 1998. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 119-126 (1998). Reviewer: J.M.Rappoport MSC: 41A44 PDFBibTeX XMLCite \textit{P. Dragnev} et al., in: Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3--6, 1998. Nashville, TN: Vanderbilt University Press. 119--126 (1998; Zbl 0985.41013)
Legg, D. A.; Townsend, D. W.; Huotari, R. A strict best approximant by non-decreasing functions. (English) Zbl 0873.41024 Numer. Funct. Anal. Optimization 16, No. 5-6, 737-741 (1995). Reviewer: D.Zarnadze (Tbilisi) MSC: 41A50 41A30 41A52 PDFBibTeX XMLCite \textit{D. A. Legg} et al., Numer. Funct. Anal. Optim. 16, No. 5--6, 737--741 (1995; Zbl 0873.41024) Full Text: DOI
Legg, D.; Townsend, D. Continuous and discrete n-convex approximations. (English) Zbl 0769.41025 Approximation Theory Appl. 8, No. 4, 28-34 (1992). MSC: 41A50 41A65 41A05 PDFBibTeX XMLCite \textit{D. Legg} and \textit{D. Townsend}, Approximation Theory Appl. 8, No. 4, 28--34 (1992; Zbl 0769.41025)
Legg, David A.; Townsend, Douglas W. A family of natural best \(L_ 1\)-approximants by nondecreasing functions. (English) Zbl 0763.41024 Numer. Funct. Anal. Optimization 13, No. 1-2, 173-183 (1992). MSC: 41A50 PDFBibTeX XMLCite \textit{D. A. Legg} and \textit{D. W. Townsend}, Numer. Funct. Anal. Optim. 13, No. 1--2, 173--183 (1992; Zbl 0763.41024) Full Text: DOI
Legg, D. A.; Townsend, D. W. The Polya-1 property for convex approximation. (English) Zbl 0724.41023 Approximation Theory Appl. 6, No. 4, 9-17 (1990). MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{D. A. Legg} and \textit{D. W. Townsend}, Approximation Theory Appl. 6, No. 4, 9--17 (1990; Zbl 0724.41023)
Legg, David A.; Townsend, Douglas W. Sets of best \(L_ 1\) approximants. (English) Zbl 0701.41037 J. Approximation Theory 59, No. 3, 316-320 (1989). Reviewer: S.Cobzaş MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{D. A. Legg} and \textit{D. W. Townsend}, J. Approx. Theory 59, No. 3, 316--320 (1989; Zbl 0701.41037) Full Text: DOI
Legg, David A.; Townsend, Douglas W. The Polya algorithm for convex approximation. (English) Zbl 0681.41021 J. Math. Anal. Appl. 141, No. 2, 431-441 (1989). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{D. A. Legg} and \textit{D. W. Townsend}, J. Math. Anal. Appl. 141, No. 2, 431--441 (1989; Zbl 0681.41021) Full Text: DOI
Huotari, R.; Legg, D.; Townsend, D. Existence of best n-convex approximants in \(L_ 1\). (English) Zbl 0681.41020 Approximation Theory Appl. 5, No. 2, 51-57 (1989). Reviewer: T.D.Narang MSC: 41A50 PDFBibTeX XMLCite \textit{R. Huotari} et al., Approximation Theory Appl. 5, No. 2, 51--57 (1989; Zbl 0681.41020)
Huotari, Robert; Legg, David; Townsend, Douglas The Polya algorithm on cylindrical sets. (English) Zbl 0663.41026 J. Approximation Theory 53, No. 3, 335-349 (1988). Reviewer: D.N.Zarnadze MSC: 41A50 PDFBibTeX XMLCite \textit{R. Huotari} et al., J. Approx. Theory 53, No. 3, 335--349 (1988; Zbl 0663.41026) Full Text: DOI
Huotari, Robert; Legg, David; Meyerowitz, Aaron D.; Townsend, Douglas The natural best \(L^ 1\)-approximation by nondecreasing functions. (English) Zbl 0654.41024 J. Approximation Theory 52, No. 2, 132-140 (1988). Reviewer: T.Singh MSC: 41A50 PDFBibTeX XMLCite \textit{R. Huotari} et al., J. Approx. Theory 52, No. 2, 132--140 (1988; Zbl 0654.41024) Full Text: DOI
Huotari, R.; Legg, D.; Townsend, D. The natural best \(L_ 1\)-approximation by nondecreasing functions. (English) Zbl 0609.41025 Approximation theory V, Proc. 5th Int. Symp., College Station/Tex. 1986, 399-401 (1986). MSC: 41A50 PDFBibTeX XML
Huotari, R.; Legg, D.; Stern, M.; Townsend, D. The Polya algorithm on convex sets. (English) Zbl 0609.41024 Approximation theory V, Proc. 5th Int. Symp., College Station/Tex. 1986, 395-397 (1986). MSC: 41A50 PDFBibTeX XML
Huotari, Robert; Legg, David Monotone approximation in several variables. (English) Zbl 0609.41023 Approximation theory V, Proc. 5th Int. Symp., College Station/Tex. 1986, 391-394 (1986). MSC: 41A50 41A63 PDFBibTeX XML
Huotari, Robert; Legg, David Monotone approximation in several variables. (English) Zbl 0587.41026 J. Approximation Theory 47, 219-227 (1986). MSC: 41A65 PDFBibTeX XMLCite \textit{R. Huotari} and \textit{D. Legg}, J. Approx. Theory 47, 219--227 (1986; Zbl 0587.41026) Full Text: DOI
Narcowich, Francis J.; Ward, Joseph D.; Legg, David A. Best approximation from stepped subspaces. (English) Zbl 0606.41035 J. Approximation Theory Appl. 1, No. 2, 29-49 (1985). Reviewer: D.N.Zarnadze MSC: 41A50 46A32 PDFBibTeX XMLCite \textit{F. J. Narcowich} et al., J. Approximation Theory Appl. 1, No. 2, 29--49 (1985; Zbl 0606.41035)
Legg, D. A.; Ward, J. D. A canonical trace class approximant. (English) Zbl 0534.41016 Proc. Am. Math. Soc. 93, 653-656 (1985). MSC: 41A50 41A65 41A52 PDFBibTeX XMLCite \textit{D. A. Legg} and \textit{J. D. Ward}, Proc. Am. Math. Soc. 93, 653--656 (1985; Zbl 0534.41016) Full Text: DOI
Huotari, Robert; Legg, David Best monotone approximation in \(L_ 1[0,1]\). (English) Zbl 0534.41015 Proc. Am. Math. Soc. 94, 279-282 (1985). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{R. Huotari} and \textit{D. Legg}, Proc. Am. Math. Soc. 94, 279--282 (1985; Zbl 0534.41015) Full Text: DOI
Legg, David; Townsend, Douglas Best monotone approximation in \(L_{\infty}[0,1]\). (English) Zbl 0545.41022 J. Approximation Theory 42, 30-35 (1984). MSC: 41A30 PDFBibTeX XMLCite \textit{D. Legg} and \textit{D. Townsend}, J. Approx. Theory 42, 30--35 (1984; Zbl 0545.41022) Full Text: DOI
Darst, R. B.; Legg, D. A.; Townsend, D. W. The Polya algorithm in \(L_{\infty}\) approximation. (English) Zbl 0533.41036 J. Approximation Theory 38, 209-220 (1983). Reviewer: S.K.Rangarajan MSC: 41A65 41A50 PDFBibTeX XMLCite \textit{R. B. Darst} et al., J. Approx. Theory 38, 209--220 (1983; Zbl 0533.41036) Full Text: DOI
Darst, R. B.; Legg, D. A.; Townsend, D. W. The Polya algorithm in \(L_ \infty\) approximation. (English) Zbl 0519.41027 J. Approximation Theory 38, 209-220 (1983). MSC: 41A50 41A65 65D15 PDFBibTeX XMLCite \textit{R. B. Darst} et al., J. Approx. Theory 38, 209--220 (1983; Zbl 0519.41027) Full Text: DOI
Darst, R. B.; Legg, D. A.; Townsend, D. W. Prediction in Orlicz spaces. (English) Zbl 0504.46023 Manuscr. Math. 35, 91-103 (1981). MSC: 46E30 41A50 62F99 PDFBibTeX XMLCite \textit{R. B. Darst} et al., Manuscr. Math. 35, 91--103 (1981; Zbl 0504.46023) Full Text: DOI EuDML
Legg, David A.; Scranton, Bruce E.; Ward, Joseph D. Chebyshev subspaces in the space of compact operators. (English) Zbl 0314.41022 J. Approximation Theory 15, 326-334 (1975). MSC: 41A65 41A50 PDFBibTeX XMLCite \textit{D. A. Legg} et al., J. Approx. Theory 15, 326--334 (1975; Zbl 0314.41022) Full Text: DOI