Matches in SemOpenAlex for { <https://semopenalex.org/work/W2103163875> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2103163875 endingPage "523" @default.
- W2103163875 startingPage "523" @default.
- W2103163875 abstract "For (h:(0,infty )rightarrow mathbb{R}), the function (h^{ast }left( tright) :=th(frac{1}{t})) is called ((ast))-conjugate to (h). This conjugacy is related to the Holder and Minkowski inequalities. Several properties of ((ast))-conjugacy are proved. If (varphi) and (varphi ^{ast }) are bijections of (left(0,infty right)) then ((varphi ^{-1}) ^{ast }=left( left[ left( varphi ^{ast }right) ^{-1}right] ^{ast }right) ^{-1}). Under some natural rate of growth conditions at (0) and (infty), if (varphi) is increasing, convex, geometrically convex, then (left[ left( varphi^{-1}right) ^{ast }right] ^{-1}) has the same properties. We show that the Young conjugate functions do not have this property. For a measure space ((Omega ,Sigma ,mu )) denote by (S=S(Omega ,Sigma ,mu )) the space of all (mu)-integrable simple functions (x:Omega rightarrow mathbb{R}). Given a bijection (varphi :(0,infty )rightarrow (0,infty )), define (mathbf{P}_{varphi }:Srightarrow lbrack 0,infty )) by [mathbf{P}_{varphi }(x):=varphi ^{-1}bigg( intlimits_{Omega (x)}varphi circ leftvert xrightvert dmu bigg),] where (Omega (x)) is the support of (x). Applying some properties of the ((ast)) operation, we prove that if (intlimits_{Omega }xyleq mathbf{P}_{varphi }(x)mathbf{P}_{psi }(y)) where (varphi ^{-1}) and (psi ^{-1}) are conjugate, then (varphi) and (psi) are conjugate power functions. The existence of nonpower bijections (varphi ) and (psi) with conjugate inverse functions (psi =left[ ( varphi ^{-1}) ^{ast}right] ^{-1}) such that (mathbf{P}_{varphi }) and (mathbf{P}_{psi }) are subadditive and subhomogeneous is considered." @default.
- W2103163875 created "2016-06-24" @default.
- W2103163875 creator A5077492906 @default.
- W2103163875 date "2014-01-01" @default.
- W2103163875 modified "2023-10-16" @default.
- W2103163875 title "Conjugate functions, L^p-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity" @default.
- W2103163875 cites W1037445145 @default.
- W2103163875 cites W1411880184 @default.
- W2103163875 cites W1501503542 @default.
- W2103163875 cites W1511783153 @default.
- W2103163875 cites W1520010964 @default.
- W2103163875 cites W1557499578 @default.
- W2103163875 cites W1599297873 @default.
- W2103163875 cites W1968626097 @default.
- W2103163875 cites W1989310570 @default.
- W2103163875 cites W1989777653 @default.
- W2103163875 cites W2004389419 @default.
- W2103163875 cites W2010996875 @default.
- W2103163875 cites W2028557366 @default.
- W2103163875 cites W2028910111 @default.
- W2103163875 cites W2038958782 @default.
- W2103163875 cites W2051112327 @default.
- W2103163875 cites W2080540410 @default.
- W2103163875 cites W2093470907 @default.
- W2103163875 cites W2122959192 @default.
- W2103163875 cites W2151222316 @default.
- W2103163875 cites W2955198501 @default.
- W2103163875 cites W791298086 @default.
- W2103163875 cites W2053641752 @default.
- W2103163875 cites W95997959 @default.
- W2103163875 doi "https://doi.org/10.7494/opmath.2014.34.3.523" @default.
- W2103163875 hasPublicationYear "2014" @default.
- W2103163875 type Work @default.
- W2103163875 sameAs 2103163875 @default.
- W2103163875 citedByCount "1" @default.
- W2103163875 countsByYear W21031638752019 @default.
- W2103163875 crossrefType "journal-article" @default.
- W2103163875 hasAuthorship W2103163875A5077492906 @default.
- W2103163875 hasBestOaLocation W21031638751 @default.
- W2103163875 hasConcept C102379996 @default.
- W2103163875 hasConcept C126087398 @default.
- W2103163875 hasConcept C134306372 @default.
- W2103163875 hasConcept C166604527 @default.
- W2103163875 hasConcept C17744445 @default.
- W2103163875 hasConcept C188791865 @default.
- W2103163875 hasConcept C191795146 @default.
- W2103163875 hasConcept C197336794 @default.
- W2103163875 hasConcept C199539241 @default.
- W2103163875 hasConcept C202444582 @default.
- W2103163875 hasConcept C33923547 @default.
- W2103163875 hasConcept C37914503 @default.
- W2103163875 hasConcept C45555294 @default.
- W2103163875 hasConcept C46979015 @default.
- W2103163875 hasConcept C79464548 @default.
- W2103163875 hasConcept C84135550 @default.
- W2103163875 hasConcept C91558832 @default.
- W2103163875 hasConceptScore W2103163875C102379996 @default.
- W2103163875 hasConceptScore W2103163875C126087398 @default.
- W2103163875 hasConceptScore W2103163875C134306372 @default.
- W2103163875 hasConceptScore W2103163875C166604527 @default.
- W2103163875 hasConceptScore W2103163875C17744445 @default.
- W2103163875 hasConceptScore W2103163875C188791865 @default.
- W2103163875 hasConceptScore W2103163875C191795146 @default.
- W2103163875 hasConceptScore W2103163875C197336794 @default.
- W2103163875 hasConceptScore W2103163875C199539241 @default.
- W2103163875 hasConceptScore W2103163875C202444582 @default.
- W2103163875 hasConceptScore W2103163875C33923547 @default.
- W2103163875 hasConceptScore W2103163875C37914503 @default.
- W2103163875 hasConceptScore W2103163875C45555294 @default.
- W2103163875 hasConceptScore W2103163875C46979015 @default.
- W2103163875 hasConceptScore W2103163875C79464548 @default.
- W2103163875 hasConceptScore W2103163875C84135550 @default.
- W2103163875 hasConceptScore W2103163875C91558832 @default.
- W2103163875 hasIssue "3" @default.
- W2103163875 hasLocation W21031638751 @default.
- W2103163875 hasLocation W21031638752 @default.
- W2103163875 hasOpenAccess W2103163875 @default.
- W2103163875 hasPrimaryLocation W21031638751 @default.
- W2103163875 hasRelatedWork W2044647149 @default.
- W2103163875 hasRelatedWork W2066353574 @default.
- W2103163875 hasRelatedWork W2094286843 @default.
- W2103163875 hasRelatedWork W2291963200 @default.
- W2103163875 hasRelatedWork W2358412019 @default.
- W2103163875 hasRelatedWork W2387254590 @default.
- W2103163875 hasRelatedWork W2393953088 @default.
- W2103163875 hasRelatedWork W2586260151 @default.
- W2103163875 hasRelatedWork W2991271761 @default.
- W2103163875 hasRelatedWork W3038559675 @default.
- W2103163875 hasVolume "34" @default.
- W2103163875 isParatext "false" @default.
- W2103163875 isRetracted "false" @default.
- W2103163875 magId "2103163875" @default.
- W2103163875 workType "article" @default.