Publication Cover
Applicable Analysis
An International Journal
Volume 5, 1976 - Issue 3
20
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Positive convolution operators and lipschitz classes

Pages 217-226 | Received 11 Jun 1971, Published online: 04 Mar 2011

References

  • Bernstein , S. N. 1912 . Sur 1'ordre de la meilleure approximation des fonctions continues par des polynomes de degre donne . Memoire publies par la classe de ScL Acad de Belgique , 4 : 1 – 103 .
  • Butzer , P. L. 1964 . Saturation and approximation . SI.AM. Numer. Anal , 1 : 1 – 10 .
  • Butzer , P. L. and Berens , H. 1967 . Semi-Groups of operators and Approximation , Springer- Verlag .
  • Butzer , P. L. and Scherer , K. 1969 . On the fundamental approximation theorems of D, Jackson, S. N. Berenstein and theorems of M. Zananski and S. B. Steckin . Aequationes Math , 3 : 170 – 185 .
  • Butzer , P. L. and Nessel , R. J. 1971 . Fourier Analysis and Approximation , L Birkhauser Verlag .
  • Dieudonne , J. 1960 . Foundation of Analysis , Academic Press .
  • Ditzian , z. 1967 . A complex jump formula for a class of convolution transforms . Illinois Jour, of Mathematics , 11 : 375 – 388 .
  • Ditzian , Z. and Jakimovski , A. 1969 . Inversion and jump formulae for variation diminishing transforms . Annali di Mathematica pur a ed Applicata , 11 : 261 – 318 .
  • Hirschman , I. I. and Widder , D. V. 1955 . The Convolution Transform , Princeton Univ. Press .
  • Taibleson , M. H. 1964 . On the theory of Lipschitz spaces of distributions on Euclidean n-space . J. of Math. andMech , 13 : 407 – 480 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.