# Edward Neuman

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{{Short description|Polish-American mathematician}}
{{Infobox scientist
| name              = Edward Neuman
| image             = Edward Neuman (EdN).jpg
| caption           =
| birth_name        = Edward Jerzy Neuman
| birth_date        = September 19, 1943
| birth_place       = [Rydułtowy](/source/Rydu%C5%82towy), [Poland](/source/Poland)
| death_date        = 
| death_place       = 
| ethnicity         = 
| field             = [Mathematician](/source/Mathematician) and mathematics professor
| work_institutions = [Southern Illinois University](/source/Southern_Illinois_University)
| alma_mater        = [University of Wrocław](/source/University_of_Wroc%C5%82aw)
| doctoral_advisor  = [wmpl:Stefan Paszkowski](/source/wmpl%3AStefan_Paszkowski)
| doctoral_students = 
| known_for         = [Neuman–Sándor mean](/source/Neuman%E2%80%93S%C3%A1ndor_mean) and Neuman means
| religion          =  
}}
'''Edward Neuman''' (born September 19, 1943<ref name="dlmf">{{cite web|url=http://dlmf.nist.gov/about/bio/ENeuman|title=DLMF: Edward Neuman}}</ref> in [Rydułtowy](/source/Rydu%C5%82towy), [Silesian Voivodeship](/source/Silesian_Voivodeship), [Poland](/source/Poland))<ref>{{cite web|url=http://www.rydultowy.pl|title=Portal|first=CONCEPT Intermedia|last=www.sam3.pl}}</ref> is a Polish-American mathematician, currently a professor emeritus of mathematics at [Southern Illinois University Carbondale](/source/Southern_Illinois_University_Carbondale).<ref>{{Cite web|url=http://math.siu.edu/faculty-staff/emeritus/neuman.php|title = Edward Neuman &#124; Mathematics &#124; SIU}}</ref>

==Academic career==
Neuman received his Ph.D. in mathematics from the [University of Wrocław](/source/University_of_Wroc%C5%82aw) in 1972<ref>{{cite web|url=http://lagrange.math.siu.edu/Neuman/biograph.html|title=Biographical}}</ref> under the supervision of [wmpl:Stefan Paszkowski](/source/wmpl%3AStefan_Paszkowski).<ref>{{cite web|url=https://www.genealogy.math.ndsu.nodak.edu/id.php?id=61725|title=Stefan Paszkowski – The Mathematics Genealogy Project}}</ref> His dissertation was entitled "Projections in Uniform Polynomial Approximation." He held positions at the Institute of Mathematics and the Institute of Computer Sciences of the [University of Wroclaw](/source/University_of_Wroclaw),<ref>{{cite web|url=https://international.uni.wroc.pl/en/faculty-mathematics-and-computer-science|title=Faculty of Mathematics and Computer Science - University of Wrocław}}</ref> and the Institute of Applied Mathematics Bonn<ref>{{cite web|url=https://www.iam.uni-bonn.de/|title=Institute for applied mathematics: Home}}</ref> in Germany. In 1986, he took a permanent faculty position at [Southern Illinois University](/source/Southern_Illinois_University).

==Contributions==
Neuman has contributed 130 journal articles<ref name="gcites">{{cite web|url=https://scholar.google.com/citations?user=g1vYgh4AAAAJ&hl=en|title=Edward Neuman – Google Scholar Citations}}</ref> in computational mathematics and mathematical inequalities such as the [Ky Fan inequality](/source/Ky_Fan_inequality), on bivariate means,<ref>{{cite journal|title=Note on certain inequalities for Neuman means|first1=Shu-Bo|last1=Chen|first2=Zai-Yin|last2=He|first3=Yu-Ming|last3=Chu|first4=Ying-Qing|last4=Song|first5=Xiao-Jing|last5=Tao|journal=Journal of Inequalities and Applications|date=25 September 2014|volume=2014|issue=1|page=370|doi=10.1186/1029-242x-2014-370|arxiv=1405.4387|s2cid=55843711 |doi-access=free }}</ref> and mathematical approximations and expansions. Neuman also developed software for computing with spline functions<ref>{{cite web|url=http://library.wolfram.com/infocenter/MathSource/724|title=Spline Functions – from Wolfram Library Archive}}</ref> and wrote several  tutorials for the [MATLAB](/source/MATLAB) programing software.<ref>{{Cite web|url=http://lagrange.math.siu.edu/Neuman/tuts.html|title = Tutorials}}</ref> Among the mathematical concepts named after Edward Neuman are Neuman–Sándor Mean and Neuman Means, which are useful tools for advancing the theory of [special functions](/source/special_functions) including [Jacobi elliptic functions](/source/Jacobi_elliptic_functions):
* The [Neuman–Sándor mean](/source/Neuman%E2%80%93S%C3%A1ndor_mean)<ref>{{cite journal|title=Optimal bounds for Neuman–Sándor mean in terms of the geometric convex combination of two Seiffert means|first1=Hua-Ying|last1=Huang|first2=Nan|last2=Wang|first3=Bo-Yong|last3=Long|journal=Journal of Inequalities and Applications|date=8 January 2016|volume=2016|issue=1|doi=10.1186/s13660-015-0955-2|doi-access=free}}</ref>
* The Neuman Means of the first kind<ref>{{cite web|url=http://jmi.ele-math.com/10-47/Sharp-Lehmer-mean-bounds-for-Neuman-means-with-applications|title=Ele-Math – Journal of Mathematical Inequalities: Sharp Lehmer mean bounds for Neuman means with applications}}</ref>
* The Neuman Means of the second kind<ref>{{cite web|url=http://jmi.ele-math.com/09-46/Sharp-inequalities-involving-Neuman-means-of-the-second-kind|title=Ele-Math – Journal of Mathematical Inequalities: Sharp inequalities involving Neuman means of the second kind}}</ref>

==Awards and honors==
Neuman was named the Outstanding Teacher in 2001 in the College of Science at [Southern Illinois University Carbondale](/source/Southern_Illinois_University_Carbondale). Neuman worked as a Validator<ref name="dlmf"/> for the original release and publication of the [National Institute of Standards and Technology](/source/National_Institute_of_Standards_and_Technology) (NIST) Handbook and [Digital Library of Mathematical Functions](/source/Digital_Library_of_Mathematical_Functions). He serves on the Editorial Boards of the Journal of Inequalities in Pure and Applied Mathematics,<ref>{{cite web|url=https://www.emis.de/journals/JIPAM/editors.html|title=JIPAM – Journal of Inequalities in Pure and Applied Mathematics}}</ref> the Journal of Inequalities and Special Functions,<ref>{{cite web|url=http://91.187.98.171/ilirias/jiasf/editorial.html|title=Journal of Inequalities and Special Functions|access-date=2016-10-11|archive-url=https://web.archive.org/web/20151025165416/http://91.187.98.171/ilirias/jiasf/editorial.html|archive-date=2015-10-25|url-status=dead}}</ref> and Journal of Mathematical Inequalities.<ref>{{cite web|url=http://jmi.ele-math.com/editorial|title=Ele-Math – Journal of Mathematical Inequalities: Editorial board}}</ref>

==Selected works==
The most frequently cited works by Neuman include:
* "On the Schwab–Borchardt mean" ''Math Pannon'' 14(2) (2003), 253–266.<ref>{{cite journal|url=http://www.kurims.kyoto-u.ac.jp/EMIS/journals/MP/index_elemei/mp14-2/mp14-2-253-266.pdf |title=On the Schwab–Borchardt mean|journal=Math Pannon}}</ref>
* "On the Schwab–Borchardt mean II" ''Math Pannon'' 17(1) (2006), 49–59.<ref>[https://www.researchgate.net/profile/Edward_Neuman/publication/251345676_On_the_Schwab-Borchardt_mean_II/links/00b7d5268281455553000000.pdf On the Schwab–Borchardt mean II]</ref>
* "The weighted logarithmic mean" ''J. Math. Anal. Appl.''  188 (1994), 885–900.<ref>{{cite journal|title=The Weighted Logarithmic Mean|first=E.|last=Neuman|journal=Journal of Mathematical Analysis and Applications|date=1 December 1994|volume=188|issue=3|pages=885–900|doi=10.1006/jmaa.1994.1469|doi-access=free}}</ref>

==See also==
* [List of Polish mathematicians](/source/List_of_Polish_mathematicians)

==References==
{{Reflist}}

==External links==
* [http://lagrange.math.siu.edu/Neuman/personal.html Web page at Southern Illinois University Carbondale]
* [http://lagrange.math.siu.edu/Neuman Departmental web page for Neuman at Southern Illinois University]
* {{MathGenealogy|id=15879}}
* {{WorldCat|id=161242499|name=Edward Neuman}}

{{Authority control}}

{{DEFAULTSORT:Neuman, Edward}}
Category:Polish mathematicians
Category:People from Silesian Voivodeship
Category:Southern Illinois University Carbondale faculty
Category:1943 births
Category:Living people
Category:University of Wrocław alumni
Category:Academic staff of the University of Wrocław

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Adapted from the Wikipedia article [Edward Neuman](https://en.wikipedia.org/wiki/Edward_Neuman) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Edward_Neuman?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.
