Essays about: "absolute integrability"

Found 2 essays containing the words absolute integrability.

1. 1. The Henstock–Kurzweil Integral

   University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Author : Manolis David; [2020]
   Keywords : Henstock–Kurzweil integral; generalized Riemann integral; gauge integral; Denjoy–Perron integral; narrow Denjoy integral; Perron integral; non-absolute integration; Lebesgue outer measure; absolute integrability; fundamental theorem of calculus; convergence theorems; single variable calculus;

   Abstract : Since the introduction of the Riemann integral in the middle of the nineteenth century, integration theory has been subject to significant breakthroughs on a relatively frequent basis. We have now reached a point where integration theory has been thoroughly researched to a point where one has to delve quite deep into a particular subject in order to encounter open conjectures. READ MORE

3. 2. Generalized Riemann Integration : Killing Two Birds with One Stone?

   University essay from Matematik och tillämpad matematik; Tekniska högskolan

   Author : David Larsson; [2013]
   Keywords : Measure and integration; Special integrals; Henstock-Kurzweil integral; gauge integral; generalized Riemann integral; Denjoy and Perron integrals; Integrals of Riemann; Stieltjes and Lebesgue type; Antidifferentiation; One-variable calculus; Functions of bounded variation; Functions of several variables; Absolute integrability; Convergence theorems;

   Abstract : Since the time of Cauchy, integration theory has in the main been an attempt to regain the Eden of Newton. In that idyllic time [. . . READ MORE