Sökning: "Manolis David"

Hittade 2 uppsatser innehållade orden Manolis David.

  1. 1. Continuous primitives with infinite derivatives

    Master-uppsats, Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

    Författare :David Manolis; [2023]
    Nyckelord :Infinite derivative; Henstock–Kurzweil integral; primitive function; strong Luzin condition; variational measure;

    Sammanfattning : In calculus the concept of an infinite derivative – i.e. DF(x) = ±∞ – is seldom studied due to a plethora of complications that arise from this definition. LÄS MER

  3. 2. The Henstock–Kurzweil Integral

    Kandidat-uppsats, Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Författare :Manolis David; [2020]
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER