Calculus of Finite Differences
نویسندگان
چکیده
منابع مشابه
Recent Contributions to the Calculus of Finite Differences: A Survey
We retrace the recent history of the Umbral Calculus. After studying the classic results concerning polynomial sequences of binomial type, we generalize to a certain type of logarithmic series. Finally, we demonstrate numerous typical examples of our theory. Une Présentation des Contributions Recents au Calcul des Différences Finies Nous passons en revue ici les resultats recents du calcul ombr...
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متن کاملNörlund on Calculus of Differences
Vorlesungen ilber Differehzenrechnung. By Niels Erik Nörlund. Berlin, Springer, 1924. ix + 551 pages. This is the first book to develop the theory of the difference calculus from the function-theoretic point of view and to include a significant part of the recent researches having to do with the analytic and asymptotic character of the solutions of linear difference equations. As such it is an ...
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This paper shows that the naturally induced discrete differentiation operators induced from a wavelet-Galerkin finite-dimensional approximation to a standard function space approximates differentiation with an error of order 0(h2d+2), where d is the degree of the wavelet system. The degree of a wavelet system is defined as one less than the degree of the lowest-order nonvanishing moment of the ...
متن کاملAn Introduction to Finite Fibonomial Calculus
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1973
ISSN: 0025-5718
DOI: 10.2307/2005266