F1.3452897) . _Journal of Lubrication Technology_ . **98** (3): 479. [ doi ](/wiki/Doi_\(identifier\) "Doi \(identifier\)") :  [ 10.1115/1.3452897 ](https://doi.org/10.1115%2F1.3452897) . [ ISSN ](/wiki/ISSN_\(identifier\) "ISSN \(identifier\)") [ 0022-2305 ](https://www.worldcat.org/issn/0022-2305) . 
  5. ** ^  ** Hass, Joel (13 March 2017). [ _Thomas' calculus_ ](https://www.worldcat.org/oclc/965446428) . Heil, Christopher, 1960-, Weir, Maurice D.,, Thomas, George B. Jr. (George Brinton), 1914-2006. (Fourteenth ed.). [United States]. p. 203. [ ISBN ](/wiki/ISBN_\(identifier\) "ISBN \(identifier\)") [ 978-0-13-443898-6  ](/wiki/Special:BookSources/978-0-13-443898-6 "Special:BookSources/978-0-13-443898-6") . [ OCLC ](/wiki/OCLC_\(identifier\) "OCLC \(identifier\)") [ 965446428 ](https://www.worldcat.org/oclc/965446428) .  ` {{ [ cite book ](/wiki/Template:Cite_book "Template:Cite book") }} ` : CS1 maint: location missing publisher ( [ link ](/wiki/Category:CS1_maint:_location_missing_publisher "Category:CS1 maint: location missing publisher") ) 
  6. ** ^  ** [ Cover, Thomas M. ](/wiki/Thomas_M._Cover "Thomas M. Cover") ; Thomas, J. A. (1988). "Determinant inequalities via information theory". _[ SIAM Journal on Matrix Analysis and Applications ](/wiki/SIAM_Journal_on_Matrix_Analysis_and_Applications "SIAM Journal on Matrix Analysis and Applications") _ . **9** (3): 384–392. [ doi ](/wiki/Doi_\(identifier\) "Doi \(identifier\)") : [ 10.1137/0609033 ](https://doi.org/10.1137%2F0609033) . [ S2CID ](/wiki/S2CID_\(identifier\) "S2CID \(identifier\)") [ 5491763 ](https://api.semanticscholar.org/CorpusID:5491763) . 
  7. ** ^  ** Pemberton, Malcolm; Rau, Nicholas (2015). [ _Mathematics for Economists: An Introductory Textbook_ ](https://books.google.com/books?id=9j5_DQAAQBAJ&pg=PA363) . Oxford University Press. pp. 363–364. [ ISBN ](/wiki/ISBN_\(identifier\) "ISBN \(identifier\)") [ 978-1-78499-148-7  ](/wiki/Special:BookSources/978-1-78499-148-7 "Special:BookSources/978-1-78499-148-7") . 

##  Further References  [  [ edit
](/w/index.php?title=Concave_function&action=edit&section=9 "Edit section:
Further References") ]

  * Crouzeix, J.-P. (2008). [ "Quasi-concavity" ](http://www.dictionaryofeconomics.com/article?id=pde2008_Q000008) . In Durlauf, Steven N.; Blume, Lawrence E (eds.). _The New Palgrave Dictionary of Economics_ (Second ed.). Palgrave Macmillan. pp. 815–816. [ doi ](/wiki/Doi_\(identifier\) "Doi \(identifier\)") : [ 10.1057/9780230226203.1375 ](https://doi.org/10.1057%2F9780230226203.1375) . [ ISBN ](/wiki/ISBN_\(identifier\) "ISBN \(identifier\)") [ 978-0-333-78676-5  ](/wiki/Special:BookSources/978-0-333-78676-5 "Special:BookSources/978-0-333-78676-5") . 
  * Rao, Singiresu S. (2009). _Engineering Optimization: Theory and Practice_ . John Wiley and Sons. p. 779. [ ISBN ](/wiki/ISBN_\(identifier\) "ISBN \(identifier\)") [ 978-0-470-18352-6  ](/wiki/Special:BookSources/978-0-470-18352-6 "Special:BookSources/978-0-470-18352-6") . 

  * [ v  ](/wiki/Template:Calculus_topics "Template:Calculus topics")
  * [ t  ](/wiki/Template_talk:Calculus_topics "Template talk:Calculus topics")
  * [ e  ](/wiki/Special:EditPage/Template:Calculus_topics "Special:EditPage/Template:Calculus topics")

[ Calculus ](/wiki/Calculus "Calculus")  
---  
[ Precalculus ](/wiki/Precalculus "Precalculus") | 

  * [ Binomial theorem ](/wiki/Binomial_theorem "Binomial theorem")
  * Concave function 
  * [ Continuous function ](/wiki/Continuous_function "Continuous function")
  * [ Factorial ](/wiki/Factorial "Factorial")
  * [ Finite difference ](/wiki/Finite_difference "Finite difference")
  * [ Free variables and bound variables ](/wiki/Free_variables_and_bound_variables "Free variables and bound variables")
  * [ Graph of a function ](/wiki/Graph_of_a_function "Graph of a function")
  * [ Linear function ](/wiki/Linear_function "Linear function")
  * [ Radian ](/wiki/Radian "Radian")
  * [ Rolle's theorem ](/wiki/Rolle%27s_theorem "Rolle's theore