简介：这篇论文在γ_上计算刺地图2并且证明它被2b_(2,0)代表在ASS的h_(1,2)。作者也计算b_(2,0)微分的更高的5月，从哪个它被证明那γ_3(b_0h_n-h_1b_(n-1))为2≤s1是在ASS的永久周期。

简介：Inthispaperasimulatedannealing(SA)algorithmispresentedforthe0/1mul-tidimensionalknapsackproblem.Problem-specificknowledgeisincorporatedinthealgorithmdescriptionandevaluationofparametersinordertolookintotheperfor-manceoffinite-timeimplementationsofSA.ComputationalresultsshowthatSAper-formsmuchbetterthanageneticalgorithmintermsofsolutiontime,whilsthavingamodestlossofsolutionquality.

简介：TheexistenceanduniquenessofclassicalglobalsolutionstoatypeofBoussinesqequationswithinitialandboundaryvaluesarestudiedinthispaper.TheexistenceofsuchsolutionsisprovedbymeansofcompactnesstheoremandSchaudersfixedpointtheorem,anditsuniquenessbythesocalledenergymethod.

简介：SupposethatwewanttoapproximatefC[0,1]bypolynomialsinPn,usingonlyitsvaluesonXn={i/n,0≤i≤n}.ThiscanbedonebytheLagrangeinterpolantLnfortheclassicalBernsteinpolynomialBnf.But,whenntendstoinfinity,LnfdoesnotconvergetofingeneralandtheconvergenceofBnftofisveryslow.WedefineafamilyofoperatorsBkn,n≥k,whichareintermediateonesbetweenB（0）n=B1n=BnandBnn=Ln,andwestudysomeoftheirproperties.Inparticular,weproveaVoronovskaja-typetheoremwhichassertsthatBknf-f=0(n-[（k+2）/2)forfsufficientlyregular.Moreover,B（k）nfusesonlyvaluesofBnfanditsderivatiesandcanbecomputedbyDeCasteljauorsubdivisionalgorithms.

简介：Inthispaperwehavestudiedn-persongameproblemsof(0,1)normalizationandcomposition.Alsowehaveconcernedmultilinearextensionsofcompositiongamesandespecialgames[5-7,9-14].AswehavestudiedShapleyvalue[1-4,15],wewillgivesomeproofsofthetheorems.

简介：讨论了L1[0,1]空间最佳单调逼近的极端点问题,给出了相应的结果.

简介：Inthispaper,weresearchtheMntzrationalapproximationoftwokindsofspecialfunctionclasses,andgivethecorrespondingestimatesofapproximationratesoftheseclasses.

简介：Inthispaperwewillshowthatifanapproximationprocess{Ln}n∈Nisshapepreservingrelativetotheconeofallk-timesdifferentiablefunctionswithnon-negativek-thderivativeon[0,1],andtheoperatorsLnareassumedtobeoffiniterankn,thentheorderofconvergenceofDkLnftoDkfcannotbebetterthann2evenforthefunctionsxk,xk+1,xk+2onanysubsetof[0,1]withpositivemeasure.Takingintoaccountthisfact,wewillbeabletofindsomeasymptoticestimatesoflinearrelativen-widthofsetsofdifferentiablefunctionsinthespaceLp[0,1],p∈N.

简介：<正>LetD={z∈:|z|<1}andφbeanormalfunctionon[0,1).Forp∈(0,1)suchafunctionφisusedtodefineaBergmanspaceA~p(φ)onDwithweightφ~p(|·|)/(1-|·|~2).Inthispaper,thedualspaceofA~p(φ)isgiven,fourcharacteristicsofCarlesonmeasureonA~p(φ)areobtained.Moreover,asanapplication,threesequenceinterpolationtheoremsinA~p(φ)arederived.

简介：Thepresentpapershowsthatforanysequenceofrealnumberswithinfinitedistinctelements{λ_n},therationalcombinationof{x~λ}arealwaysdenseinC_[0,1].

简介：Anecessaryandsufficientconditionofregularityof（0,1,…,m-2,m）interpolationonthezerosof（1-x）Pn-1α,β（x）（α>-1,β≥-1）inamanageableformisestablished,wherePn-1α,β（x）standsforthe（n-1）thJacobipolynomial.Meanwhile,theexplicitrepresentationofthefundamentalpolynomialswhentheyexist,isgiven.

简介：Theobjectofthispaperistoshowregularityof(0,1,...,r-2,r)interpolationonthesetobtainedbyprojectingverticallythezerosof(1-x2)pn(x)(λ≥1/2)ontotheunitcircle,wherePn(x)standsforthenthultrasphericalpolynomial.

简介：ＳＩＮＧＵＬＡＲＩＴＹＡＮＤＱＵＡＤＲＡＴＵＲＥＲＥＧＵＬＡＲＩＴＹＯＦ（０，１，．．．，ｍ－２，ｍ）─ＩＮＴＥＲＰＯＬＡＴＩＯＮＯＮＴＨＥＺＥＲＯＳＯＦ（１－ｘ）Ｐｎ－１αβ（ｘ）ＳｈｉＹｉｎｇｇｕａｎｇ（史应光）(ＣｏｍｐｕｔｉｎｇＣｅ...

简介：Inthispaper,wewillusethe2r-thDitzian-Totikmodulusofsmoothnessω2r(f,t)ptodiscussthedirectandinversetheoremofapproximationbyLeft-Bernstein-Durrmeyerquasi-interpolantsMn[2r-1]fforfunctionsofthespaceLp[0,1](1≤p≤+∞).

简介：LetL~2([0,1],x)bethespaceoftherealvalued,measurable,squaresummablefunctionson[0,1]withweightx,andlet■_nbethesubspaceofL~2([0,1],x)definedbyalinearcombinationofJ_0(μ_kx),whereJ_0istheBesselfunctionoforder0and{μ_k}isthestrictlyincreasingsequenceofallpositivezerosofJ_0.Forf∈L~2([0,1],x),letE(f,■_n)betheerrorofthebestL~2([0,1],x),i.e.,approximationoffbyelementsof■_n.Theshiftoperatoroffatpointx∈[0,1]withstept∈[0,1]isdefinedbyT(t)f(x)=(1/π)∫_0~πf((x~2+t~2-2xtcosθ)~(1/2))dθ.Thedifferences(1-T(t))~(r/2)f=∑_(j=0)~∞(-1)~j(_j~(r/2))T~j(t)foforderr∈(0,∞)andtheL~2([0,1],x)-modulusofcontinuityω_r(f,τ)=sup{||(I-T(t))~(r/2)f||:0≤t≤τ}oforderraredefinedinthestandardway,whereT~0(t)=Iistheidentityoperator.Inthispaper,weestablishthesharpJacksoninequalitybetweenE(f,■_n)andω_r(f,τ)forsomecasesofrandτ.Moreprecisely,wewillfindthesmallestconstant■_n(τ,r)whichdependsonlyonn,r,andτ,suchthattheinequalityE(f,■_n)≤■_n(τ,r)ω_r(f,τ)isvalid.

简介：Thepurposeofthepresentpaperistoevaluatetheerroroftheapproximationofthefunc-tionfL1[0,1]byKantorovich-BernsteinpolynomialsinLp-metric（01）.

简介：InthispaperwestudytheconvergencenfaclassofmeansonHp（G）（01）,themeanstaketheBochner-Rieszmeansin[1],thegeneralizedBochner-Rieszmeansin[2],andtheoperatorsTΦrin[3]asspecialcases.Weobtainweak-typeestimatesfortheassociatedmaximaloperatorsandthemaximalmeanboundednessforthemeans.

简介：

简介：ThenumberA（d1,…,dn）ofsolutionsoftheequation0（mod1）,0

简介：LetMbeapositivequaternionicKhlermanifoldofdimension4m.Wealreadyshowedthatifthesymmetryrankisgreaterthanorequalto[m/2]+2andthefourthBettinumberb_4isequaltoone,thenMisisometrictoHP~(m).Thegoalofthispaperistoreportthatwecanimprovethelowerboundofthesymmetryrankbyoneforhighereven-dimensionalpositivequaternionicKahlermanifolds.Namely,itisshowninthispaperthatifthesymmetryrankofMwithb_4(M)=1isgreaterthanorequaltom/2+1form≥10,thenMisisometrictoHP~m.OneofthemainstrategiesofthispaperistoapplyamoredelicateargumentofFrankeltypetopositivequaternionicKhlermanifoldswithcertainsymmetryrank.