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  • 标题:Operational calculs for the continuous Legendre transform with applications
  • 本地全文:下载
  • 作者:E. Y. Deeba ; E. L. Koh
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1989
  • 卷号:12
  • 期号:2
  • 页码:355-362
  • DOI:10.1155/S0161171289000414
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    This paper develops an operational calculus for the continuous Legendre transform introduced and studied by Butzer, Stens and Wehrens [1]. It is an extension of the work done by Churchill et al [2], [31 for the discrete case. In particular, a differentiation theorem and a convolution theorem are proved and the results are applied to the solution of some boundary value problems.

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