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Description
  • Je definováno zobrazení, které každé omezené měřitelné funkci u a kladnému číslu r přiřadí funkci s předepsanou počáteční podmínkou, která minimalizuje totální variaci v r - okolí funkce u na každém podintervalu. Je ukázáno, že toto zabrazení je neexpansivní. (cs)
  • We define a mapping which with each function u..L..(O,T) and an admissible value of r>0 associates the function .. with a prescibed initial condition .. which minimizes the total variation in the r-neighborhood of u in each subinterval [0,t] of [0,T]. We show that this mapping is non-expansive with respect to u, r and .., and coincides with the so-called play operator if u is a regulated function.
  • We define a mapping which with each function u..L..(O,T) and an admissible value of r>0 associates the function .. with a prescibed initial condition .. which minimizes the total variation in the r-neighborhood of u in each subinterval [0,t] of [0,T]. We show that this mapping is non-expansive with respect to u, r and .., and coincides with the so-called play operator if u is a regulated function. (en)
Title
  • Hysteresis Filtering in the Space of Bounded Measurable Functions
  • Hysteresis Filtering in the Space of Bounded Measurable Functions (en)
  • Hysteresní filtrace v prostoru měřitelných funkcí (cs)
skos:prefLabel
  • Hysteresis Filtering in the Space of Bounded Measurable Functions
  • Hysteresis Filtering in the Space of Bounded Measurable Functions (en)
  • Hysteresní filtrace v prostoru měřitelných funkcí (cs)
skos:notation
  • RIV/67985840:_____/02:00175164!RIV07-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 755;772
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(AV0Z1019905)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 648234
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/02:00175164
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • total variation; play operator; regulated function (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • IT - Italská republika
http://linked.open...ontrolniKodProRIV
  • [3702467D0417]
http://linked.open...i/riv/nazevZdroje
  • Bollettino della Unione Mathematica Italiana
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 5-B
http://linked.open...iv/tvurceVysledku
  • Krejčí, Pavel
  • Laurençot, P.
http://linked.open...n/vavai/riv/zamer
issn
  • 0041-7084
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