DCT

(redirected from Dominated convergence theorem)
Also found in: Encyclopedia, Wikipedia.
AcronymDefinition
DCTDual-Clutch Transmission (automobile)
DCTDiscrete Cosine Transform
DCTDRAM (Dynamic Random Access Memory) Controller
DCTDictionary (File Name Extension)
DCTDreams Come True (UK charity)
DCTDiploma in Computer Engineering (various schools)
DCTDivine Command Theory (ethics)
DCTDynamic Call Tree
DCTData Compression Technique
DCTDisplay Compatibility Test
DCTDual Clutch Transmission
DCTDiscrete Cosine Transformation
DCTDestination Control Table
DCTDatabase Dictionary
DCTDynamic Configuration Tool
DCTData Collection Tool
DCTDictionary File
DCTDigital Cordless Telecommunications
DCTDirect Coombs Test (blood test)
DCTDistal Convoluted Tubule(s)
DCTDiskrete Cosinus Transformation (German: Discrete Cosine Transformation)
DCTDivision du Contrôle Technique (French: Technical Control Division)
DCTDream Come True
DCTDry Cow Therapy (dairy farms)
DCTDepartment of Chemical Technology (various schools)
DCTDenton Community Theatre (Denton, TX)
DCTDuck Creek Technologies (now Accenture Software)
DCTDC Talk (Christian band)
DCTDémarche Collective Territorialisée (French: Territorialized Collective Approach)
DCTDigital Cordless Telephone
DCTData Capture Tool (software)
DCTDividend Capital Trust, Inc. (now DCT Industrial Trust, Inc.)
DCTDigital Cable Terminal
DCTDaily Conditioning Treatment
DCTDigital Consumer Terminal
DCTDraft Constitutional Treaty (EU)
DCTDepartamento de Cooperação Científica, Técnica e Tecnológica (Portugese: Department of Scientific and Technological Subjects)
DCTDigital Communications Terminal
DCTDestination Control Table (CICS)
DCTDirect Cosine Transform
DCTDigital Carrier Trunk
DCTDatabase Configuration Tool
DCTDisabled Children's Team (UK)
DCTDominated Convergence Theorem
DCTDonations Coordination Team (FEMA)
DCTDigital Cellular Technology
DCTDesign Cycle Time
DCTDirector Control Tower
DCTDepth Charge Thrower
DCTDesign, Code, Test
DCTData Calling Tone
DCTDifferential Current Transformer
DCTDynamic Call-Tree
DCTDunwoody College of Technology (Minneapolis, Minnesota)
DCTDirect-Conversion Transceiver
DCTDeputy Clerk Treasurer
DCTDigital Control Technology
DCTDesktop Computer Terminal
DCTDisturbance Control Teams
DCTDepth Control Tank
DCTDamage Control Text
DCTDennistoun Community Together (UK)
DCTDeep Cone Thickener
DCTDell Certified Trainer (information technology certification)
DCTDirect Current Transducer
DCTDPAS Control Terminal
DCTDisaster Control Team
DCTDistribuidora Comercial Terminal (Guatemala)
DCTDetection, Classification & Targeting
DCTDynamic Combat Training
DCTDevelopmental Certification Testing
DCTDistraction-Conflict Theory (psychology)
DCTData Capture Technologies Inc
References in periodicals archive ?
Moreover, by [[integral].sub.[OMEGA]] [a.sup.-1/(p-1)](x)dx < c, using (29) and Lebesgue dominated convergence theorem,
Multiplying through by [mathematical expression not reproducible] and using the dominated convergence theorem we obtain the identity
Since the function f is integrable, we can change the order of integration by using Lebesgue's dominated convergence theorem. Hence
Similarly, using the continuity and the growth assumptions in (A2) and (A3) and the fact that [mathematical expression not reproducible] in E, P-a.s, once again it follows from Lebesgue dominated convergence theorem that
invoking once again the Lebesgue dominated convergence theorem, and passing to the limit as n [right arrow] +[infinity], we find that
Let u = x - t + y/2 and v = x - y/2 in the last term, by Lemma, Fubini's Theorem and the Lebesgue dominated convergence theorem,
In particular, from real analysis: the Cauehy-Sehwarz inequality and the Lebesgue dominated convergence theorem; from Fourier analysis: Plancherel's theorem and [L.sup.2] Fourier inversion; and the inequalities of Bernstein and Nikol'skii are used in the proof of Lemma 1.
Then [for all]j [member of] {1, 2}, by the dominated convergence theorem
Since [v.sub.t] [member of] [L.sup.2]([Q.sub.T]), by the Lebesgue dominated convergence theorem, we have
Here the first term decays exponentially, and since [([rho](x)/[rho]).sup.-N] [right arrow] 0 for all x [member of] (0,1), by Lebesgue's Dominated Convergence Theorem the second integral also converges to zero.
Now, by Morera's theorem with aids of Holder's inequality and the dominated convergence theorem, we have (30) for [lambda] [member of] [C.sub.+].
Using the properties (5.8) and the fact that z [member of] [B.sup.a.sub.[infinity]] (I, E) [subset] [L.sup.a.sub.2] (I,E), and Lebesgue dominated convergence theorem, one can easily verify that