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National Repository of Grey Literature 4 records found  Search took 0.00 seconds. 
Nonabsolute convergence of Newton integral
 Konopka, Filip ; Spurný, Jiří (advisor) ; Vlasák, Václav (referee)
In this thesis, we look for sufficient conditions for non-absolute convergence of Newton integral. Importantly we analyse how the oscillation of the sine function influences the con- vergence of the integral. We are dealing with the convergence of integrals based on the limits of the antiderivative, which does not need to convergence in the Lebesgue sense. 1
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Nonabsolute convergence of Newton integral
 Konopka, Filip ; Spurný, Jiří (advisor) ; Zelený, Miroslav (referee)
In this thesis we search for sufficient and necessary conditions for non abso- lute convergence of Newton integral of function of the form sin φ(x) x . Importantly we analyse how the oscilation of the sine function influences the convergence of the integral. We are dealing with continous non-decreasing functions such that limx→∞ φ(x) = ∞. We proved that bilipschitz of φ is not sufficient. Nevertheless, we proved several theorems about sufficient conditions for the convergence of the integral. 1
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Nonabsolute convergence of Newton integral
 Konopka, Filip ; Spurný, Jiří (advisor) ; Vlasák, Václav (referee)
In this thesis, we look for sufficient conditions for non-absolute convergence of Newton integral. Importantly we analyse how the oscillation of the sine function influences the con- vergence of the integral. We are dealing with the convergence of integrals based on the limits of the antiderivative, which does not need to convergence in the Lebesgue sense. 1
Detailed record
The integral and substitution
 ČLUPEK, Tomáš
This document introduces indefinite and definite integral. Also includes various substitution methods for calculation. Solved and unsolved examples of their usage are also attached.
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