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
Main Authors: Deeba, E. Y., Koh, E. L.
Format: Journal Article
Language:English
Published: Hindawi Limited 01-01-1989
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Abstract 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.
AbstractList 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.
Author Koh, E. L.
Deeba, E. Y.
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