Bernstein’s analyticity theorem for quantum differences |
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Authors: | Tord Sjödin |
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Institution: | 1.Department of Mathematics and Mathematical Statistics,University of Ume?,Ume?,Sweden |
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Abstract: | We consider real valued functions f defined on a subinterval I of the positive real axis and prove that if all of f’s quantum differences are nonnegative then f has a power series representation on I. Further, if the quantum differences have fixed sign on I then f is analytic on I. |
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Keywords: | difference quantum difference quantum derivative power series |
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