Summation By Parts - Method

Method

For two given sequences and, with, one wants to study the sum of the following series:

If we define then for every and

Finally

This process, called an Abel transformation, can be used to prove several criteria of convergence for .

Read more about this topic:  Summation By Parts

Famous quotes containing the word method:

    “Traditional scientific method has always been at the very best 20-20 hindsight. It’s good for seeing where you’ve been. It’s good for testing the truth of what you think you know, but it can’t tell you where you ought to go.”
    —Robert M. Pirsig (b. 1928)

    “Relying on any one disciplinary approach—time-out, negotiation, tough love, the star system—puts the parenting team at risk. Why? Because children adapt to any method very quickly; today’s effective technique becomes tomorrow’s worn dance.”
    —Ron Taffel (20th century)

    “I know no method to secure the repeal of bad or obnoxious laws so effective as their stringent execution.”
    —Ulysses S. Grant (1822–1885)