Fractional Taylor Series
With the emergence of fractional calculus, a natural question arises about what the Taylor Series expansion would be. Odibat and Shawagfeh answered this in 2007. By using the Caputo fractional derivative, and indicating the limit as we approach from the right, the fractional Taylor series can be written as
Read more about this topic: Taylor Series
Famous quotes containing the words fractional, taylor and/or series:
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“A grief without a pant, void, dark, and drear,”
—Samuel Taylor Coleridge (1772–1834)
“Every Age has its own peculiar faith.... Any attempt to translate into facts the mission of one Age with the machinery of another, can only end in an indefinite series of abortive efforts. Defeated by the utter want of proportion between the means and the end, such attempts might produce martyrs, but never lead to victory.”
—Giuseppe Mazzini (1805–1872)