본문 바로가기
KERD
논문KCI 등재

EXAMPLES OF NON-DIFFERENTIABILITY POINTS OF RIESZ-NÁGY-TAKÁCS FUNCTION

백인수
장전수학회 (Jangjeon Mathematical Society)|2015.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제18권 제2호|pp. 145-151|DOI 10.17777/pjms.2015.18.2.002

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

Hausdorff dimensionpacking dimensiondistribution setlocal dimension setsingular functionmetric number theory
주제분류수학

초록

We give examples of the non-differentiability points in the category of the necessary condition for the differentiability of the Riesz-Nágy-Takács singular function. We also give concrete examples of the differentiability points for the Riesz-Nágy-Takács singular function. In particular, the eventually periodic points have null derivatives or infinite derivatives.

Abstract

We give examples of the non-differentiability points in the category of the necessary condition for the differentiability of the Riesz-Nágy-Takács singular function. We also give concrete examples of the differentiability points for the Riesz-Nágy-Takács singular function. In particular, the eventually periodic points have null derivatives or infinite derivatives.

참고문헌 (8)

  1. I. S. Baek, "Relation between spectral classes of a self-similar Cantor set", J. Math. Anal. Appl., 292(1), pp.294~302 (2004)
  2. 백인수, "Dimensions of distribution sets in the unit interval", 대한수학회논문집, 22(4), pp.547~552 (2007), 대한수학회
  3. cs function, "대한수학회보", 2011, 261~275, pp.대한수학회
  4. I. S. Baek, "Holder derivative of the generalized Riesz-Nagy-Takacs function", ~
  5. K. J. Falconer, "Techniques in fractal geometry" (1997), John Wiley and Sons
  6. Y. Yao, "Dimension of non-di erentiability points of Cantor functions", Studia Mathematica, 195(2), pp.113~125 (2009)
  7. J.Paradis, "Riesz-Nagy singular functions revisited", J. Math. Anal. Appl., 329, pp.592~602 (2007)
  8. H. L. Royden, "Real Analysis" (1988), Macmillan Publishing Company

관련 논문AI추천

SUFFICIENT CONDITION FOR THE DIFFERENTIABILITY OF THE RIESZ-NAGY-TAKACS SINGULAR FUNCTION백인수대한수학회 · 대한수학회보2017 · 제54권 제4호Derivative of the Riesz-N[문자]gy-Tak[문자]cs function백인수대한수학회 · 대한수학회보2011 · 제48권 제2호Singularity order of the Riesz-N{\'a}gy-Tak{\'a}cs function백인수대한수학회 · 대한수학회논문집2015 · 제30권 제1호A CONSTRUCTION OF STRICTLY INCREASING CONTINUOUS SINGULAR FUNCTIONS조경희한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호Differentiability and non-differentiability points of the Minkowski question mark functionIN-SOO BAEK대한수학회 · 대한수학회논문집2016 · 제31권 제4호A singular function from Sturmian continued fractions권도용대한수학회 · 대한수학회지2019 · 제56권 제4호

이 간행물의 다른 논문 (11건)

A QUALITATIVE RESULT CONCERNING QUASIREPRESENTATIONS OF COMPACT GROUPSA. I. Shternpp. 139-143THE ANALYSIS OF STUDENTS’ SURVEY FOR THE CHANGE OF SECONDARY SCHOOL TEACHERS’ TEACHING BEHAVIOR BASED ON SELF-REFLECTIONJ. Kwonpp. 153-163THE DIFFERENCE BETWEEN THE APPROXIMATE AND THE ACCURATE SOLUTION TO STOCHASTIC DIFFERENTIAL DELAY EQUATION김영호pp. 165-175A symmetric identity on the q-Genocchi polynomials of higher-order under third dihedral group D3M. Acikgoz, S. Araci, E. Agyüzpp. 177-187Identities Involving Generalized Harmonic NumbersD. S. Kim, Y. Jeongpp. 189-199
원문 보기