Operational calculs for the continuous Legendre transform with applications
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 pro...
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| Published in: | International journal of mathematics and mathematical sciences Vol. 12; no. 2; pp. 355 - 362 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Hindawi Limited
01-01-1989
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| Online Access: | Get full text |
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| Summary: | 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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| Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/S0161171289000414 |