Abstract
At the First InternationalWorkshop on GibbsDerivatives, held on September 26-28, 1989, at Kupari-Dubrovnik, former Yugoslavia, under auspices of theMathematical Institute, Belgrade, Serbia, it was agreed that the term Gibbs derivative will be used to denote the class of differential operators that can be viewed as descendants of the initial concept of the logical derivative introduced by James Edmund Gibbs in 1967. The related concepts introduced later have their own names to provide a distinction among these different concepts due to their peculiar features. Probably the most important and most widely investigated among them is the Butzer-Wagner derivative. Various other generalizations, for instance p-adic derivative and fractional p-adic derivative, have also attracted a lot of attention and have certain interesting applications.
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Stanković, R.S., Schipp, F. (2015). The Origins of the Dyadic Derivative due to James Edmund Gibbs. In: Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations. Atlantis Studies in Mathematics for Engineering and Science, vol 12. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-160-4_3
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DOI: https://doi.org/10.2991/978-94-6239-160-4_3
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