Real Function Continuity

Konrad Raczkowski

Warsaw University, Bialystok

Pawel Sadowski

Warsaw University, Bialystok

Summary.

The continuity of real functions is discussed. There is a function defined on some domain in real numbers which is continuous in a single point and on a subset of domain of the function. Main properties of real continuous functions are proved. Among them there is the Weierstra{\ss} Theorem. Algebraic features for real continuous functions are shown. Lipschitzian functions are introduced. The Lipschitz condition entails continuity.

Supported by RPBP.III-24.C8.

MML Identifier: FCONT_1

Contents (PDF format)

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