简介:Inthisarticle,the2-variablegeneralpolynomialsaretakenasbasewithPeterspolynomialstointroduceafamilyof2-variablePetersmixedtypepolynomials.Thesepolynomialsareframedwithinthecontextofmonomialityprincipleandtheirpropertiesareestablished.Certainsummationformulaeforthesepolynomialsarealsoderived.Examplesofsomemembersbelongingtothisfamilyareconsideredandnumbersrelatedtosomemixedspecialpolynomialsarealsoexplored.
简介:WestudythedualDunkl-SonineoperatortSk,onRd,andgiveexpressionoftSk,e1,usingDunklmultiplieroperatorsonRd.Next,westudytheextremalfunctionsfμλ,λ>0relatedtotheDunklmultiplieroperators,andmorepreciselyshowthat{fμλ}λ>0convergesuniformlytotSk,e(f)asλ→0+.CertainexamplesbasedonDunkl-heatandDunkl-Poissonkernelsareprovidedtoillustratetheresults.
简介:Inordertoimprovethecarsalesservice4Sshopmanagementlevel,improvetheeconomicandsocialbenefitsofenterprises,incentivesareusedtoencouragetheirown4sshops.Inthispaper,throughouttherelatedanalysisofthequarterlyandannualawardsincentiveprograminlarge-scaledomesticautomobileenterprises,entropymethodwithMATLABsoftwareisappliedtoestablishthedimensionalfitfunction.Inthedataprocessing,themultiplelinearregressionfunctionintoLingosoftwareisemployedtogetthebestsolution;andClanguageisusedtorunthescreeningdataprogramthroughtheconsistencytestprograminthesensitivityanderroranalysis.Firstofall,considerthecompanytomaximizeprofitsandmaximizetheamountofcomplaintsinthestoretomaintainalowtarget;intermsofstaff,weshouldconsiderprovidingmoreincentivesforemployees;inthecustomer,theoverallsatisfaction,serviceAttitude,vehiclecleanlinessbasedshouldbeimproved.Andtwoprogramsforthemonthlyprofitandexcessprofitsofprogressiveincentivesshouldalsobeimproved.
简介:Inthispaperwestudytheone-dimensionalreflectedbackwardstochasticdifferentialequationswhicharedrivenbyBrownianmotionaswellasamutuallyindependentmartingaleappearinginadefaultablesetting.Usingapenalizationmethod,weprovetheexistenceanduniquenessofthesolutionstotheseequations.Asanapplication,weshowthatunderproperassumptionsthesolutionofthereflectedequationisthevalueoftherelatedmixedoptimalstopping-controlproblem.
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简介:LetT_1beasingularintegralwithnon-smoothkernelor±I,letT_2andT_4bethelinearoperatorsandletT_3=±I.DenotetheToeplitztypeoperatorbyT~b=T_1M~bI_αT_2+T_3I_αM~bT_4,whereM~bf=bf,andI_αisthefractionalintegraloperator.Inthispaper,weinvestigatetheboundednessoftheoperatorT~bontheweightedMorreyspacewhenbbelongstotheweightedBMOspace.