REFERENCES
- Y. Baba, On maxima of Takagi-van der Waerden functions, Proc. Amer. Math. Soc. 91 (1984) 373–376.
- P. Billingsley, Van der Waerden's continuous nowhere differentiable function, this Monthly 89 (1982) 691.
- A. M. Bruckner, J. B. Bruckner, and B. S. Thomson, Real Analysis, Prentice Hall, Upper Saddle River, NJ, 1997.
- F. S. Cater, On van der Waerden's nowhere differentiable function, this Monthly 91 (1984) 307–308.
- H. Federer, Surface area II, Trans. Amer. Math. Soc. 55 (1944) 420–456.
- H. Federer, Geometric Measure Theory, Die Grundlehren der mathematischen Wissenschaften, vol. 153, Springer-Verlag, New York, 1969.
- J. Marcinkiewicz, Sur les séries de Fourier, Fund. Math. 27 (1936) 38–69.
- F. Riesz and B. Sz.-Nagy, Functional Analysis, Fredrick Unger, New York, 1955.
- A. Shidfar and K. Sabetfakhri, On the continuity of van der Waerden's function in the Holder sense, this Monthly 93 (1986) 375–376.
- A. Shidfar and K. Sabetfakhri, On the Holder continuity of certain functions. Exposition. Math. 8 (1990) 365–369.
- T. Takagi, A simple example of the continuous function without derivative, Proc. Phys.-Math. Soc. Tokyo Ser. II 1 (1903) 176–177.
- B.W. van der Waerden, Ein einfaches Beispiel einer nicht-differenzierbaren stetigen Funktion, Math. Z. 32 (1930) 474–475.
- H. Whitney, On totally differentiable and smooth functions, Pacific J. Math. 1 (1951) 143–159.