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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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Using the periodic continued fraction, we give concrete examples of the points at which the derivatives of the Minkowski question mark function does not exist. We also give examples of the differentiability points which show that recent apparently independent results are consistent and closely related.
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참고문헌 (8)
참고문헌 신청
A. Denjoy / 1938 / Sur une fonction reelle de Minkowski / J. Math. Pures Appl 17:105~151
R. Girgensohn / 1996 / Constructing singular functions via Farey fractions / J. Math. Anal. Appl 203(1):127~141
M. Kessebohmer / 2007 / A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates / J. Reine Angew. Math 605:133~163
M. Kessebohmer / 2008 / Fractal analysis for sets of non-differentiability of Minkowski’s question mark function / J. Number Theory 128(9):2663~2686
Yeo-Rin Lee / 2009 / SOME REMARKS ON THE PERIODIC CONTINUED FRACTION / 충청수학회지 22(2):155~159
R. Girgensohn / 1996 / Constructing singular functions via Farey fractions / J. Math. Anal. Appl 203(1):127~141
M. Kessebohmer / 2007 / A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates / J. Reine Angew. Math 605:133~163
M. Kessebohmer / 2008 / Fractal analysis for sets of non-differentiability of Minkowski’s question mark function / J. Number Theory 128(9):2663~2686
Yeo-Rin Lee / 2009 / SOME REMARKS ON THE PERIODIC CONTINUED FRACTION / 충청수학회지 22(2):155~159
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