### To the problem of a strong differentiability of integrals along different directions.

Lepsveridze, G. (1998)

Georgian Mathematical Journal

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Lepsveridze, G. (1998)

Georgian Mathematical Journal

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Tomáš Hejda, Zuzana Masáková, Edita Pelantová (2013)

Kybernetika

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We consider positional numeration systems with negative real base $-\beta $, where $\beta >1$, and study the extremal representations in these systems, called here the greedy and lazy representations. We give algorithms for determination of minimal and maximal $(-\beta )$-representation with respect to the alternate order. We also show that both extremal representations can be obtained as representations in the positive base ${\beta}^{2}$ with a non-integer alphabet. This enables us to characterize digit sequences admissible...

Nirova, M.S. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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Chelidze, N. (1994)

Georgian Mathematical Journal

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Kharibegashvili, S. (1995)

Georgian Mathematical Journal

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Righi, Céline (2007)

Séminaire Lotharingien de Combinatoire [electronic only]

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Kazarina, V.I. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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Hahlomaa, Immo (2007)

Annales Academiae Scientiarum Fennicae. Mathematica

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Watson, Neil A. (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

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Georgian Mathematical Journal

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Georgian Mathematical Journal

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Ephremidze, L. (1995)

Georgian Mathematical Journal

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Lu, Shanzhen, Tan, Changmei, Yabuta, Kozo (1996)

Georgian Mathematical Journal

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