A theorem on continuous functions

Tatsuo Homma · Kodai Mathematical Journal · 1952

In the present paper we call an " <* -function" a function fcx) , continuous in 0 £ x 4 / » such that co < x < ί ) Φ and 0 ύ Definition 1» A function is called nowhere constant, if there exists no interval on which it remains constant.

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