Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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)$


Author: K. Padmavally
Journal: Proc. Amer. Math. Soc. 4 (1953), 839-841
MSC: Primary 27.2X
MathSciNet review: 0059341
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] Alfred Köpcke, Ueber eine durchaus differentiirbare, stetige Function mit Oscillationen in jedem Intervalle, Math. Ann. 34 (1889), no. 2, 161–171 (German). MR 1510572, 10.1007/BF01453433
  • [2] S. Minakshisundaram, On the roots of a continuous non-differentiable function, J. Indian Math. Soc. (N.S.) 4 (1940), 31–33. MR 0001827
  • [3] T. Radó, Length and area, Amer. Math. Soc. Colloquium Publications, vol. 30, 1948, p. 193.
  • [4] A. N. Singh, Theory and construction of non-differentiable functions, p. 89.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 27.2X

Retrieve articles in all journals with MSC: 27.2X


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1953-0059341-3
Article copyright: © Copyright 1953 American Mathematical Society