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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.23 No.1

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A CONSTRUCTION OF STRICTLY INCREASING CONTINUOUS SINGULAR FUNCTIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2016, v.23 no.1, pp.21-34
https://doi.org/10.7468/jksmeb.2016.23.1.21
JO, KYEONGHEE
JO,, K. (2016). A CONSTRUCTION OF STRICTLY INCREASING CONTINUOUS SINGULAR FUNCTIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 23(1), 21-34, https://doi.org/10.7468/jksmeb.2016.23.1.21

Abstract

In this paper, we construct a strictly increasing continuous singular function which has a simple algebraic expression.

keywords
singular functions, strictly increasing, continuous

Reference

1.

Jo, K.;. (2003). Quasi-homogeneous domains and convex affine manifolds. Topology Appl., 134(2), 123-146. 10.1016/S0166-8641(03)00106-8.

2.

Kuipers, L.;Niederreiter, H.;. Uniform distribution of sequences.

3.

Okamoto, H.;. (2005). A remark on continuous, nowhere differentiable functions. Proc. Japan Acad. Ser. A Math. Sci., 81(3), 47-50. 10.3792/pjaa.81.47.

4.

Okamoto, H.;Wunsch, M.;. (2007). A geometric construction of continuous, strictly increasing singular functions. Proc. Japan Acad. Ser. A Math. Sci., 83(7), 114-118. 10.3792/pjaa.83.114.

5.

Salem, R.;. (1943). On some singular monotonic functions which are strictly increasing. Trans. Amer. Math. Soc., 53, 427-439. 10.1090/S0002-9947-1943-0007929-6.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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