简介:Inthispaper,theLp-convergenceofGrünwaldinterpolationGn(f,x)basedonthezerosofJacobipolynomialsJ(α,β)n(x)(-1<α,β<1)isconsidered.Lp-convergence(0<p<2)ofGrünwaldinterpolationGn(f,x)isprovedforp·Max(α,β)<1.Moreover,Lp-convergence(p>0)ofGn(f,x)isobtainedfor-1<α,β≤0.Therefore,theresultsof[1]and[3-5]areimproved.
简介:Inthispaper,weintroduceaconditionweakerthantheLpdifferentiability,whichwecallCpcondition.Weprovethatifafunctionsatisfiesthisconditionatapoint,thenthereexiststhebestlocalapproximationatthatpoint.WealsogiveanecessaryandsufficientconditionforthatafunctionbeLpdifferentiable.Inaddition,westudytheconvexityofthesetofclusterpointsofthenetofbestappoximationsoff,{Pe(f)}ase→0.
简介:Inthepresentpaper,theauthorsintroduceanewsubclassofp-valentanalyticfunctionswithcomplexorderdefinedontheopenunitdiskU=fz:z2Candjzj<1gandobtaincoefficientinequalitiesforthefunctionsintheseclass.Applicationoftheseresultsforthefunctionsdefinedbytheconvolutionarealsoobtained.
简介:LetGbeagraphwithvertexsetV(G)andedgesetE(G)andletgandfbetwointeger-valuedfunctionsdefinedonV(G)suchthat2k-1≤g(x)≤f(x)forallx∈V(G).LetHbeasubgraphofGwithmkedges.Inthispaperitisprovedthatevery(mg+m-1,mf-m+1)-graphGhas(g,f)-factorizationsrandomlyκ-orthogonaltoHandshownthattheresultisbestpossible.
简介:<正>WestudythesolvabilityoftheCauchyproblem(1.1)-(1.2)forthelargestpossibleclassofinitialvalues,forwhich(1.1)-(1.2)hasalocalsolution.Moreover,wealsostudythecriticalcaserelatedtotheinitialvalueu0,for1<p<∞.
简介:组G的Wielandt亚群,由w(G)表示了,是G的所有低于正常的亚群的normalizers的交叉。在这份报纸,作者为每整数i为最大的班G,为所有整数i的任何一个wi(G)=i(G)或wi(G)=i+1(G)的p组显示出那,并且为在有K1的G的每正常亚群K的w(G/K)=(G/K)。同时,为最大的班的常规p组的一个必要、足够的条件令人满意的w(G)=2(G)被给。最后,如果G是有基本z(G)的non-abelianp组,作者证明力量自守组PAut(G)是基本abelianp组?\mho1(G)\zeta(G)\cap\mho_1(G)。
简介:让Sq-1,q≥2,联合起来的范围的表面在欧几里德几何学的spaceRq,f(x)∈Lp(Sq-1),f(x)≥0,f吗?0,1≤p≤+∞。然后,它在现在的纸被证明有顺序≤N和经常的C>的球形的泛音PN(x)0以便‖f-1/P_N‖L_p≤Cω(f,N~(-1))Lp,在哪儿ω(f,吗δ)Lp=sup_(0
简介:让M与部分弯曲歧管的n维的完全的noncompactRiemannian从在下面被围住,d瑥物浥湥?牡?牰癯摩摥椠?汣獯摥映牯獭
简介:InthispapertheDirichletproblemforp-Laplacian(p>1)isconsidered.UndersuitableconditionsandbyusingcriticalpointtheorytheexistenceofsolutionsfortheDirichletproblemisstudied,andsomeresultsintheliteratureareimproved.
简介:Thispapergivesap-adicanalogueoftheMackeytheory,whichrelatesrepresentationsofagroupoftypeG=H×_tAtosystemsofimprimitivity.