简介:GivenacontinuousfunctionfdefinedontheunitcubeofRnandaconvexfunctiont,t(0)-0,t(x)>0,forx>0,weprovethatthesetofbestLt-approximationsbymonotonefunctionshasexactlyoneelementft,whichisalsoacontinuousfunction.Moreoverifthefamilyofconvexfunctions{t}t>0convergesuniformlyoncompactsetstoafunction0,thenthebestapproximationft→f0uniformly,ast→0,wherefoisthebestapproximationoffwithintheOrliczspaceL0Thebestapproxima-tions{ft}areobtainedaswellasminimizingintegralsortheLuxemburgnorm
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:Peerrevision,asupplementarystrategytoteacherrevisionofwritinginL2classroom,makespassivereceiversofteacherrevisionbecomeactiverevisers,enablingstudentstoinvolveinmoremotivatedlanguagelearning.Benefitsofpeerrevisionanditsimplicationsforteacherandstudentrolesarediscussed.Thisarticlealsotentativelyanalyzeswaysofpreparingstudentsforeffectivepeerrevision.