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==Contributions==
==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|publisher=}}</ref> in computational mathematics and mathematical inequalities such as the [[Ky Fan inequality]], on bivariate means,<ref>{{cite journal|url=https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2014-370|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|date=25 September 2014|publisher=|volume=2014|issue=1|doi=10.1186/1029-242x-2014-370}}</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|publisher=}}</ref> and wrote several tutorials for the [[MATLAB]] programing software.<ref>
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|publisher=}}</ref> in computational mathematics and mathematical inequalities such as the [[Ky Fan inequality]], on bivariate means,<ref>{{cite journal|url=https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2014-370|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|date=25 September 2014|publisher=|volume=2014|issue=1|doi=10.1186/1029-242x-2014-370}}</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|publisher=}}</ref> and wrote several tutorials for the [[MATLAB]] programing software.<ref>
http://lagrange.math.siu.edu/Neuman/tuts.html</ref> Among the mathematical concepts named after Edward Neuman are Neuman-Sandor Mean and Neuman Means, which are useful tools for advancing the theory of [[special functions]] including [[Jacobi elliptic functions]]:
http://lagrange.math.siu.edu/Neuman/tuts.html</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]] including [[Jacobi elliptic functions]]:
* The Neuman-Sandor Mean<ref>{{cite journal|url=https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-015-0955-2|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|date=8 January 2016|publisher=|volume=2016|issue=1|doi=10.1186/s13660-015-0955-2}}</ref>
* The [[Neuman-Sándor mean]]<ref>{{cite journal|url=https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-015-0955-2|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|date=8 January 2016|publisher=|volume=2016|issue=1|doi=10.1186/s13660-015-0955-2}}</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|publisher=}}</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|publisher=}}</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|publisher=}}</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|publisher=}}</ref>

Revision as of 16:25, 5 December 2017

Edward Neuman
Born
Edward Jerzy Neuman

September 19, 1943
Rydułtowy, Poland
NationalityPolish-American
Alma materUniversity of Wrocław
Known forNeuman-Sandor Mean and Neuman Means
Scientific career
FieldsMathematician and mathematics professor
InstitutionsSouthern Illinois University
Doctoral advisorwmpl:Stefan Paszkowski

Edward Neuman (born September 19, 1943[1] in Rydułtowy, Silesian Voivodeship in Poland[2] is a Polish-American mathematician, currently a professor emeritus of mathematics at Southern Illinois University Carbondale.[3]

Academic career

Neuman received his Ph.D. in mathematics from the University of Wrocław in 1972[4] under the supervision of wmpl:Stefan Paszkowski.[5] 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,[6] and the Institute of Applied Mathematics Bonn[7] in Germany. In 1986, he took a permanent faculty position at Southern Illinois University.

Contributions

Neuman has contributed 130 journal articles[8] in computational mathematics and mathematical inequalities such as the Ky Fan inequality, on bivariate means,[9] and mathematical approximations and expansions. Neuman also developed software for computing with spline functions[10] and wrote several tutorials for the MATLAB programing software.[11] 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 including Jacobi elliptic functions:

Awards and honors

Neuman has received an award for notable and creative achievement from the Poland's Secretary of Higher Education in 1983[15] and was named the Outstanding Teacher in 2001 in the College of Science at Southern Illinois University Carbondale. Neuman worked as a Validator[1] for the original release and publication of the National Institute of Standards and Technology (NIST) Handbook and Digital Library of Mathematical Functions. He serves on the Editorial Boards of the Journal of Inequalities in Pure and Applied Mathematics,[16] the Journal of Inequalities and Special Functions,[17] and Journal of Mathematical Inequalities.[18]

Selected works

The most frequently cited works by Neuman include:

  • "On the Schwab-Borchardt mean" Math Pannon 14(2) (2003), 253-266.[19]
  • "On the Schwab-Borchardt mean II" Math Pannon 17(1) (2006), 49 - 59.[20]
  • "The weighted logarithmic mean" J. Math. Anal. Appl. 188 (1994), 885-900.[21]

See also

References

  1. ^ a b "DLMF: Edward Neuman".
  2. ^ www.sam3.pl, CONCEPT Intermedia. "Portal".{{cite web}}: CS1 maint: numeric names: authors list (link)
  3. ^ <http://math.siu.edu/faculty-staff/emeritus/neuman.php
  4. ^ "Biographical".
  5. ^ "Stefan Paszkowski - The Mathematics Genealogy Project".
  6. ^ "Faculty of Mathematics and Computer Science - University of Wrocław".
  7. ^ "Institute for applied mathematics: Home".
  8. ^ "Edward Neuman - Google Scholar Citations".
  9. ^ Chen, Shu-Bo; He, Zai-Yin; Chu, Yu-Ming; Song, Ying-Qing; Tao, Xiao-Jing (25 September 2014). "Note on certain inequalities for Neuman means". 2014 (1). doi:10.1186/1029-242x-2014-370. {{cite journal}}: Cite journal requires |journal= (help)CS1 maint: unflagged free DOI (link)
  10. ^ "Spline Functions -- from Wolfram Library Archive".
  11. ^ http://lagrange.math.siu.edu/Neuman/tuts.html
  12. ^ Huang, Hua-Ying; Wang, Nan; Long, Bo-Yong (8 January 2016). "Optimal bounds for Neuman-Sándor mean in terms of the geometric convex combination of two Seiffert means". 2016 (1). doi:10.1186/s13660-015-0955-2. {{cite journal}}: Cite journal requires |journal= (help)CS1 maint: unflagged free DOI (link)
  13. ^ "Ele-Math – Journal of Mathematical Inequalities: Sharp Lehmer mean bounds for Neuman means with applications".
  14. ^ "Ele-Math – Journal of Mathematical Inequalities: Sharp inequalities involving Neuman means of the second kind".
  15. ^ http://www.bibliotekacyfrowa.pl/Content/.../856091_II_1982-1984.pdf
  16. ^ "JIPAM - Journal of Inequalities in Pure and Applied Mathematics".
  17. ^ "Journal of Inequalities and Special Functions".
  18. ^ "Ele-Math – Journal of Mathematical Inequalities: Editorial board".
  19. ^ http://www.kurims.kyoto-u.ac.jp/EMIS/journals/MP/index_elemei/mp14-2/mp14-2-253-266.pdf
  20. ^ https://www.researchgate.net/profile/Edward_Neuman/publication/251345676_On_the_Schwab-Borchardt_mean_II/links/00b7d5268281455553000000.pdf
  21. ^ Neuman, E. (1 December 1994). "The Weighted Logarithmic Mean". 188 (3): 885–900. doi:10.1006/jmaa.1994.1469. {{cite journal}}: Cite journal requires |journal= (help)
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