논문KCI 등재
A CONSTRUCTION OF STRICTLY INCREASING CONTINUOUS SINGULAR FUNCTIONS
한국수학교육학회|2016.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제23권 제1호|pp. 21-34
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초록
In this paper, we construct a strictly increasing continuous singular function which has a simple algebraic expression.
Abstract
In this paper, we construct a strictly increasing continuous singular function which has a simple algebraic expression.
참고문헌 (5)
- K. Jo, "Quasi-homogeneous domains and convex a±ne manifolds", Topology Appl, 134(2), pp.123~146 (2003)
- L. Kuipers, "Uniform distribution of sequences" (1974), Wiley-Intersci
- H. Okamoto, "A remark on continuous, nowhere di®erentiable functions", Proc. Japan Acad. Ser. A Math. Sci, 81(3), pp.47~50 (2005)
- H. Okamoto, "A geometric construction of continuous, strictly increasing singular functions", Proc. Japan Acad. Ser. A Math. Sci, 83(7), pp.114~118 (2007)
- R. Salem, "On some singular monotonic functions which are strictly increasing", Trans. Amer. Math. Soc, 53, pp.427~439 (1943)
관련 논문AI추천
EXAMPLES OF NON-DIFFERENTIABILITY POINTS OF RIESZ-NÁGY-TAKÁCS FUNCTION백인수장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제2호A CONTINUOUS ONE-TO-ONE FUNCTION WHOSE INVERSE IS NOWHERE CONTINUOUS김원규, Sun Pyo Hong한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제2호SUFFICIENT CONDITION FOR THE DIFFERENTIABILITY OF THE RIESZ-NAGY-TAKACS SINGULAR FUNCTION백인수대한수학회 · 대한수학회보2017 · 제54권 제4호Singularity order of the Riesz-N{\'a}gy-Tak{\'a}cs function백인수대한수학회 · 대한수학회논문집2015 · 제30권 제1호ON DENJOY*-STIELTJES INTEGRAL박춘기, 오미나강원경기수학회 · 한국수학논문집2008 · 제16권 제4호A singular function from Sturmian continued fractions권도용대한수학회 · 대한수학회지2019 · 제56권 제4호
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