简介：ThispaperdealswiththeclassofQ-tensors,thatis,aQ-tensorisarealtensorAsuchthatthetensorcomplementarityproblem(q,A):findinganx∈R~nsuchthatx≥0,q+Ax~(m-1)≥0,andx~T(q+Ax~(m-1))=0,hasasolutionforeachvectorq∈R~n.SeveralsubclassesofQ-tensorsaregiven:P-tensors,R-tensors,strictlysemi-positivetensorsandsemi-positiveR_0-tensors.WeprovethatanonnegativetensorisaQ-tensorifandonlyifallofitsprincipaldiagonalentriesarepositive,andsotheequivalenceofQ-tensor,R-tensors,strictlysemi-positivetensorswasshowediftheyarenonnegativetensors.WealsoshowthatatensorisanR_0-tensorifandonlyifthetensorcomplementarityproblem(0,A)hasnonon-zerovectorsolution,andatensorisaR-tensorifandonlyifitisanR_0-tensorandthetensorcomplementarityproblem(e,A)hasnonon-zerovectorsolution,wheree=(1,1···,1)~T.

简介：Usingthemethodofconstruction,withthehelpofinequalities,weresearchtheMuntzrationalapproximationoftwokindsofspecialfunctionclasses,andgivethecorrespondingestimatesofapproximationratesoftheseclassesunderwidelyconditions.BecauseoftheOrliczSpacesisbiggerthancontinuousfunctionspaceandtheLpspace,sotheresultsofthispaperhasacertainexpansionsignificance.