Search results for "Calculus of variations"

showing 2 items of 22 documents

Convex analysis and dual problems

2018

Tässä tutkielmassa tarkastellaan valittujen variaatiolaskennan ongelmien ja näiden duaaliongelmien välisiä suhteita. Tutkielmassa esitetään aiheen yleinen teoria ja annetaan esimerkkejä sovelluksista.

convex analysiscalculus of variations
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On Variational Measures Related to Some Bases

2000

Abstract We extend, to a certain class of differentiation bases, some results on the variational measure and the δ-variation obtained earlier for the full interval basis. In particular the theorem stating that the variational measure generated by an interval function is σ-finite whenever it is absolutely continuous with respect to the Lebesgue measure is extended to any Busemann–Feller basis.

differentiation basisPure mathematicsClass (set theory)Lebesgue measureBasis (linear algebra)Henstock integralApplied MathematicsMathematical analysisvariational measureInterval (mathematics)Absolute continuityInterval functionMeasure (mathematics)δ-variationPerron integralCalculus of variationsAnalysisMathematicsJournal of Mathematical Analysis and Applications
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