On the approximation of integrable functions by functions of bounded variation

William T. Reid

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1960)

  • Volume: 14, Issue: 2, page 133-140
  • ISSN: 0391-173X

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Reid, William T.. "On the approximation of integrable functions by functions of bounded variation." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 14.2 (1960): 133-140. <http://eudml.org/doc/83241>.

@article{Reid1960,
author = {Reid, William T.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {approximation and series expansion},
language = {eng},
number = {2},
pages = {133-140},
publisher = {Scuola normale superiore},
title = {On the approximation of integrable functions by functions of bounded variation},
url = {http://eudml.org/doc/83241},
volume = {14},
year = {1960},
}

TY - JOUR
AU - Reid, William T.
TI - On the approximation of integrable functions by functions of bounded variation
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1960
PB - Scuola normale superiore
VL - 14
IS - 2
SP - 133
EP - 140
LA - eng
KW - approximation and series expansion
UR - http://eudml.org/doc/83241
ER -

References

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  1. 1 Baiada, E., and Caudamone, G., La variazione totale e la lunghezza di una curva, Ann. Scuola Norm. Sup. Pisa (3), 11 (1957), 29-71. Zbl0078.04703MR91313
  2. 2 Cesari, L., Surface area, Ann. of Math. StudiesNo. 35, Princeton Univ. Press, 1956. Zbl0073.04101MR74500
  3. 3 Graves, L.M., Theory of Functions of Real Variables, second edition, MCGRAW-HILL, 1956. Zbl0070.05203MR75256
  4. 4 Hardy, G.H., and Littlewood, J.E., Some properties of fractional integrals I, Math. Zeit., 27 (1927), 565-606. Zbl54.0275.05JFM54.0275.05
  5. 5 Hardy, G.H., and Littlewood, J.E., A convergence criterion for Fourier series, Math. Zeit., 28 (1928), 612-634. Zbl54.0301.03MR1544980JFM54.0301.03
  6. 6 Hautman, P., and Kershner, R., Integral forms and variational orthogonality, Amer. J. Math., 50 (1938), 205-226. Zbl0018.24903MR1507309JFM64.0200.03
  7. 7 RadÓ, T., Length and Area, Amer. Math. Soc. Colloq. Publ., XXX, 1948. Zbl0033.17002MR24511
  8. 8 Titchmarsh, E.P., The Theory of Functions, Oxford, 1932. Zbl0005.21004JFM58.0297.01
  9. 9 Widder, D.V., The Laplace Transform, Princeton Univ. Press, 1946. Zbl0063.08245MR5923JFM67.0384.01

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