Pfeffer Integral - Properties

Properties

Pfeffer defined a notion of generalized absolute continuity, close to but not equal to the definition of a function being, and proved that a function is Pfeffer integrable iff it is the derivative of an function. He also proved a chain rule for the Pfeffer integral. In one dimension his work as well as similarities between the Pfeffer integral and the McShane integral indicate that the integral is more general than the Lebesgue integral and yet less general than the Henstock integral.

Read more about this topic:  Pfeffer Integral

Famous quotes containing the word properties:

    The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.
    John Locke (1632–1704)

    A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.
    Ralph Waldo Emerson (1803–1882)