简介：LetPnbetheclassofpolynomialsofdegreeatmostnRatherandShah[15]provedthatifP∈PnandP(z)≠0in|z|<1,thenforeveryR>0and0≤q<∞,|B[P(Rz)]|q≤|RnB[zn]+λ0|q|1+zn|q|P(z)|q,whereBisaBn-operator.Inthispaper,weprovesomegeneralizationofthisresultwhichinparticularyieldssomeknownpolynomialinequalitiesasspecialWealsoconsideranoperatorDαwhichmapsapolynomialP(z)intoDαP(z):=nP(z)+(α-z)P′(z)andobtainextensionsandgeneralizationsofanumberofwell-knownLqinequalities

简介：Lettn(x)beanyrealtrigonometricpolynomialofdegreennsuchthat,Hereweareconcernedwithobtainingthebestpossibleupperestimateofwhereq>2.Inaddition,weshallobtaintheestimateofintermsofand

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简介：Inthispaper,weintroduceandstudyanewclassofquasivariationalinequalities.Using’essentiallytheprojectiontechniqueanditsvariantforms,weestablishtheequivalencebetweengeneralizednonlinearquasivariationalinequalitiesandthefixedpointproblems.Thisequivalenceisthenusedtosuggestandanalyzeanumberofnewiterativealgorithms.Thesenewresultsincludethecorrespondingknownresultsforgeneralizedquasivariationalinequalitiesasspecialcases.

简介：Weconsiderforafixedμ,theclassofpolynomialsPn,μ,s:=P(z)=zsanzn-s+n-s∑j=μan-jzn-j-s;1≤μ≤n-sofdegreen,havingallzerosin|z|≤k,k≤1,withs-foldzerosattheorigin.Inthispaper,wehaveobtainedinequalitiesinthereversedirectionfortheaboveclassofpolynomials.Besides,extensionsofsomeTuran-typeinequalitiesforthepolarderivativeofpolynomialshavebeenconsidered.

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简介：在这篇论文，我们学习树鞅并且证明了那如果1≤α，β<∞，1≤p<∞那么为每可预言的树鞅f=(英尺，t∈T)并且E[σ(P)(f)]<∞，E[S(P)(f)]<∞，Cαβ在哪儿仅仅取决于α和β，保持那。

简介：LetP(z)beapolynomialofdegreen,havingallitszerosin|z|≤1Inthispaper,weestimatekthpolarderivativeofP(z)on|z|=1andtherebyobtaincompactgeneralizationsofsomeknownresultswhichamongotherthingsyieldsarefinementofaresultduetoPaulTura'n.

简介：Weinvestigatetherelationshipbetweenbestapproximationsbyelementsofclosedconvexconesandtheestimationoffunctionalsonaninnerproductspace(X,<·,·>)intermsoftheinnerproductonX.

简介：Inthispaper,someinequalitiesforsequencerearrangementandmatrixproductareestablished.Theauthorsextendandimprovesomeknownresults,andshowthattherearesomeerrorsinreferenceoninequalitiesforsequencerearrangementbyexamples,

简介：WeconsideraclassofABStypealgorithmsforsolvingsystemoflinearinequalities,wherethenumberofinequalitiesdoesnotexceedthenumberofvariables.

简介：TheHardyintegralinequalityisoneofthemostimportantinequalitiesinanalysis.ThepresentpaperestablishessomenewCopson-Pachpatte(C-P)typeinequalities,whicharethegeneralizationsoftheHardyintegralinequalitiesonbinaryfunctions.

简介：LetP(z)beapolynomialofdegreenhavingallitszerosin|z|≤k,k≤1,thenforeveryrealorcomplexnumberβ,with|β|≤1andR≤1,itwasshownbyA.Zirehetal.[7]thatfor|z|=1,min|z|=1|P(Rz)+β(R+k/1+k)^nP(z)|≥k^-n|Rn+b(R+k/1+k)^n|min|z|=k|P(z)|.Inthispaper,weshallpresentarefinementoftheaboveinequality.Besides,weshallalsogeneralizesomewell-knownresults.

简介：在为给定的域Rn的锥性质的唯一的假设下面，这被证明为在Sobolev空格Wm的函数的中间的衍生物的插值不平等，p()或甚至在某加权的Sobolve空格Wwm，p()仍然成立。也就是说，被跳或让一致的锥性质的平常的另外的限制两个都被移开。使用的主要工具是多项式不平等，它由是为光滑、分析的功能的也获得的pointwise版本插值不平等。如此的pointwise版本不平等在有锥性质的无界的领域在无穷为衍生物给明确的腐烂估计。作为腐烂估计的应用，光滑的功能的光线的基础功能近似上的以前的结果被扩大到衍生物同时的近似。

简介：Anewalgorithmispresentedforsolvingasystemoflinearinequalities.Startingatanypointbysolvingaleastsquaresproblemwecaneitherobtainafeasiblepointordeterminethatnosolutionexists.

简介：Letp(z)beapolynomialofdegreeatmostn.Inthispaperweobtainsomenewresultsaboutthedependenceofp(Rz)-βp(rz)+α(R+1/r+1)n-|β|p(rz)sonp(z)sforeveryα,β∈Cwith|α|≤1,|β|≤1,R>r1,ands>0.Ourresultsnotonlygeneralizesomewellknowninequalities,butalsoarevarietyofinterestingresultsdeducedfromthembyafairlyuniformprocedure.

简介：Inthispaper,theauthorsintroduceandstudysystemofgeneralizedvectorvariationalinequalities.Undersuitableconditions,theexistenceofsolutionsforsystemofgeneralizedvectorvariationalinequalitiesispresentedbyKakutani-Fan-Glicksbergfixedpointtheorem.

简介：让我是积极合理数字的间隔。然后集合S(I)=T鈭??在T是submonoid的地方?0+，+)由T产生了，是数字semigroup。这些数字semigroups被叫按比例模块化并且能作为形式斧子的Diophantine不平等的整数答案的集合被描绘现代派的b鈮?cx。在这份报纸，我们在我使遭到到S(I)有的条件的最大的间隔的学习感兴趣给定的复合。我们也描绘与这些最大的间隔联系的数字semigroups。关键词数字semigroup-Diophantine不平等-复合-Frobenius数字先生(2000)题目分类11D75-11D04-第一写作的20M14被工程MTM2004-01446和FEDER资金支持；纸被Luso-Espanhola行动HP2004-0056支持

简介：Letμbeameasureontheupperhalf-spaceR+n+1,andvaweightonRn,wegiveacharacterizationforthepair(v,μ)suchthat||μ(fv)||L(μ)≤c||f||L(μ)whereisanN-functionsatisfyingΔ2conditionanduf(x,t)isthemaximalfunctiononR+n+1,whichwasintroducedbyRuiz,F.andTorrea,J.