On the roots of equation $f(x)=\xi$ where $f(x)$ is real and continuous in $(a,b)$ but monotonic in no subinterval of $(a,b)$
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- Proc. Amer. Math. Soc. 4 (1953), 839-841 Request permission
References
- Alfred Kรถpcke, Ueber eine durchaus differentiirbare, stetige Function mit Oscillationen in jedem Intervalle, Math. Ann. 34 (1889), no.ย 2, 161โ171 (German). MR 1510572, DOI 10.1007/BF01453433
- S. Minakshisundaram, On the roots of a continuous non-differentiable function, J. Indian Math. Soc. (N.S.) 4 (1940), 31โ33. MR 1827 T. Radรณ, Length and area, Amer. Math. Soc. Colloquium Publications, vol. 30, 1948, p. 193. A. N. Singh, Theory and construction of non-differentiable functions, p. 89.
Additional Information
- © Copyright 1953 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 4 (1953), 839-841
- MSC: Primary 27.2X
- DOI: https://doi.org/10.1090/S0002-9939-1953-0059341-3
- MathSciNet review: 0059341