  The paper gives a brief account of the spaces of interval functions defined
through the concepts of H-continuity, D-continuity and S-continuity. All three
continuity concepts generalize the usual concept of continuity for real (point
valued) functions. The properties of the functions in these new spaces are
discussed and investigated, preserving essential properties of the usual
continuous real functions being of primary interest. Various ways in which the
spaces of H-continuous, D-continuous and S-continuous interval functions
complement the spaces of continuous real functions are discussed.
