简介:ThispaperintroducestheconceptoflocalC-cosins-familyandinverstigateitsbasicproperties,Inparticular,acharacterizationofthecompleteinfinitesimalgeneratorofalocalC-cosinefamilyisobtained,AsanapplieationofthistheorytothesecondordersbstractCauchyproblems,acharacterizationofthelocalC-well-posednessoftheseproblemsisgivenintermsofthelocalC-cosinefamilytheory.
简介:对[0,2π]年的区间I,对它的左右两个半区间L,R,定义一种加权原子形如b(t)=1/(p(t))[X1-XR(t)],其中ρ为满足某些性质的非负函数,加权原子b(t)的线性组合构成加权原子空间B(ρ),本文证明了如果f∈B(ρ),则f的Fourier级数的Cesaro平均几乎处处收敛。
简介:针对C语言函数教学的常见问题,提出函数教学的新思路,结合EXCEL、HTML、函数分类和典型小案例,重点阐述如何教授函数的概念和调用,并在实际教学中取得良好效果。
简介:Inthispaperweobtainedgeneralrepresentationformulaeforstronglycontinuouscosineoperatorfunctionsviaprobabilisticapproach,whichincludeWebb’s[1]andShaw’s[2]formulaeandsomenewoneasspecialcases.Wealsogivethequantitativeestimationsforthegeneralformulae.
简介:在Zeng等人对有界变差函数f的Durrmeyer-Bézier算子在区间(0,1)上收敛于(1/(α+1))f(x+)+(α/(α+1))f(x-)的收敛阶进行研究的基础上,利用基函数的概率性质等方法,对其所给的Durrmeyer-Bézier算子收敛阶估计结果作进一步的改进,得到其收敛阶的精确估计.
简介:Fabricpatterncontainsmanytypesoftheavailablepatternelements,whichnotonlycanbeusedfortheresearchers,butalsoasthematerialforthedesigner.Butexistingmethodfocusonthecompleteimageretrieval,thereforelackmethodsofretrievingpatternelements.Thisarticleproposesapatternelementsretrievalalgorithmbasedoncosinetransform.Firstly,automaticallysegmentthepatternsaccordingtosizeandlocationandfilterthesimilarprimarypatterns,then,throughcosinetransform,analyzeelementsfeaturesinDCTdomain,extractamplitudefrequencyandphasefrequency.Weemploy2-normtomeasurethesimilarity,search10similarpatternelementsinthesamplelibraryandsavetheminthedesignresourceslibrary.Experimentresultsindicatethatthisalgorithmperformswellwhileusedinpalacecostumeandcarpetpatterns,andgotmorethan75%oftheaveragerecallin100timesexperiments
简介:用BV[0,∞)表示在[0,∞)的每一有限子区间上为有界变差函数的函数构成的空间,用(Ln(f,z)=∫0^∞dtkn(x,t)表示BV[0,∞)上的正线性算子,其中dtkn(x,t)是非负测度且∫0^∞dtkn(x,t)=1,则有定理如果Ln(|t-x|^β,x)≤C(x)/n^v,这里β>0,v≥1,C(x)是一个与x有关的常数,对f∈BV[0,∞)和x∈(0,∝)有|Ln(f,x)-[f(x+)+f(x-)]/2|≤|[f(x+)-f(x-)/2Ln(Sgn(t-x),x)+f(x)-[f(x+)+f(x-)/2Ln(δn,x)|+2C(x)/n^vx^β(n-1)↑∑↓k=1z-z/k^1/β^z+z/k^1/β(gx)+z+z/n^1/β↓z-z/n^1/β(gx)+√C(x)/n^v/2x^β/2(∫2x^+∝gx^2(t)dtKn(x,t))^1/2这里δx={0t≠x,;1t=xgz(t)={f(t)-f(x+)x