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Generalized Kiesswetter’s functions. (English) Zbl 1384.26012

The authors study the possibility of extending K. Kiesswetter’s [Math.-Phys. Semesterber., N. F. 13, 216–221 (1966; Zbl 0143.07304)] example of continuous everywhere but differentiable nowhere function using base-4 expansion of real numbers.

MSC:

26A06 One-variable calculus
26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable

Citations:

Zbl 0143.07304
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