Matches in SemOpenAlex for { <https://semopenalex.org/work/W2508220199> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W2508220199 abstract "Let $psi_{n}= ( -1 ) ^{n-1}$ $psi^{ ( n ) }$ ( $n=0,1,2,ldots $ ), where $psi^{ ( n ) }$ denotes the psi and polygamma functions. We prove that for $ngeq0$ and two different real numbers a and b, the function $$ xmapstopsi_{n}^{-1} biggl( frac{int_{a}^{b}psi_{n}(x+t),dt}{b-a} biggr) -x $$ is strictly increasing from $( -min ( a,b ) ,infty ) $ onto $( min ( a,b ) , ( a+b ) /2 ) $ , which generalizes a well-known result. As an application, the complete monotonicity for a ratio of gamma functions is improved." @default.
- W2508220199 created "2016-09-16" @default.
- W2508220199 creator A5028331125 @default.
- W2508220199 creator A5088913538 @default.
- W2508220199 date "2016-09-09" @default.
- W2508220199 modified "2023-10-17" @default.
- W2508220199 title "Monotonicity of a mean related to polygamma functions with an application" @default.
- W2508220199 cites W167633266 @default.
- W2508220199 cites W1983461830 @default.
- W2508220199 cites W2051449379 @default.
- W2508220199 cites W2077314575 @default.
- W2508220199 cites W2327480601 @default.
- W2508220199 cites W4234239782 @default.
- W2508220199 cites W4246710130 @default.
- W2508220199 doi "https://doi.org/10.1186/s13660-016-1155-4" @default.
- W2508220199 hasPublicationYear "2016" @default.
- W2508220199 type Work @default.
- W2508220199 sameAs 2508220199 @default.
- W2508220199 citedByCount "7" @default.
- W2508220199 countsByYear W25082201992017 @default.
- W2508220199 countsByYear W25082201992018 @default.
- W2508220199 countsByYear W25082201992020 @default.
- W2508220199 countsByYear W25082201992021 @default.
- W2508220199 countsByYear W25082201992022 @default.
- W2508220199 crossrefType "journal-article" @default.
- W2508220199 hasAuthorship W2508220199A5028331125 @default.
- W2508220199 hasAuthorship W2508220199A5088913538 @default.
- W2508220199 hasBestOaLocation W25082201991 @default.
- W2508220199 hasConcept C114614502 @default.
- W2508220199 hasConcept C134306372 @default.
- W2508220199 hasConcept C14036430 @default.
- W2508220199 hasConcept C33923547 @default.
- W2508220199 hasConcept C72169020 @default.
- W2508220199 hasConcept C78458016 @default.
- W2508220199 hasConcept C86803240 @default.
- W2508220199 hasConceptScore W2508220199C114614502 @default.
- W2508220199 hasConceptScore W2508220199C134306372 @default.
- W2508220199 hasConceptScore W2508220199C14036430 @default.
- W2508220199 hasConceptScore W2508220199C33923547 @default.
- W2508220199 hasConceptScore W2508220199C72169020 @default.
- W2508220199 hasConceptScore W2508220199C78458016 @default.
- W2508220199 hasConceptScore W2508220199C86803240 @default.
- W2508220199 hasFunder F4320321001 @default.
- W2508220199 hasIssue "1" @default.
- W2508220199 hasLocation W25082201991 @default.
- W2508220199 hasLocation W25082201992 @default.
- W2508220199 hasOpenAccess W2508220199 @default.
- W2508220199 hasPrimaryLocation W25082201991 @default.
- W2508220199 hasRelatedWork W1587224694 @default.
- W2508220199 hasRelatedWork W1979597421 @default.
- W2508220199 hasRelatedWork W2007980826 @default.
- W2508220199 hasRelatedWork W2061531152 @default.
- W2508220199 hasRelatedWork W2077600819 @default.
- W2508220199 hasRelatedWork W3002753104 @default.
- W2508220199 hasRelatedWork W4225152035 @default.
- W2508220199 hasRelatedWork W4245490552 @default.
- W2508220199 hasRelatedWork W4315701745 @default.
- W2508220199 hasRelatedWork W4380682190 @default.
- W2508220199 hasVolume "2016" @default.
- W2508220199 isParatext "false" @default.
- W2508220199 isRetracted "false" @default.
- W2508220199 magId "2508220199" @default.
- W2508220199 workType "article" @default.