AdegreeelevationformulaformultivariatesimplexsplineswasgivenbyMicchelli[6]andextendedtoholdformultivariateDirichletsplinesin[8].Wereportsimilarformulaeformultivariateconesplinesandboxsplines.Tothisend,weutilizearelationduetoDahmenandMicchelli[4]thatconnectsboxsplinesandconesplinesandadegreereductionformulagivenbyCohen,Lyche,andRiesenfeldin[2].
