Edward Neuman Explained

Edward Neuman
Birth Name:	Edward Jerzy Neuman
Birth Date:	September 19, 1943
Birth Place:	Rydułtowy, Poland
Nationality:	Polish-American
Field:	Mathematician and mathematics professor
Work Institutions:	Southern Illinois University
Alma Mater:	University of Wrocław
Known For:	Neuman–Sándor mean and Neuman means

Edward Neuman (born September 19, 1943^[1] in Rydułtowy, Silesian Voivodeship, 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 .^[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:

• The Neuman–Sándor mean^[12]
• The Neuman Means of the first kind^[13]
• The Neuman Means of the second kind^[14]

Awards and honors

Neuman 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,^[15] the Journal of Inequalities and Special Functions,^[16] and Journal of Mathematical Inequalities.^[17]

Selected works

The most frequently cited works by Neuman include:

• "On the Schwab–Borchardt mean" Math Pannon 14(2) (2003), 253–266.^[18]
• "On the Schwab–Borchardt mean II" Math Pannon 17(1) (2006), 49–59.^[19]
• "The weighted logarithmic mean" J. Math. Anal. Appl. 188 (1994), 885–900.^[20]

See also

• List of Polish mathematicians

External links

• Web page at Southern Illinois University Carbondale
• Departmental web page for Neuman at Southern Illinois University

Notes and References

1. Web site: DLMF: Edward Neuman.
2. Web site: Portal. CONCEPT Intermedia. www.sam3.pl.
3. Web site: Edward Neuman | Mathematics | SIU.
4. Web site: Biographical.
5. Web site: Stefan Paszkowski – The Mathematics Genealogy Project.
6. Web site: Faculty of Mathematics and Computer Science - University of Wrocław.
7. Web site: Institute for applied mathematics: Home.
8. Web site: Edward Neuman – Google Scholar Citations.
9. Note on certain inequalities for Neuman means. Shu-Bo. Chen. Zai-Yin. He. Yu-Ming. Chu. Ying-Qing. Song. Xiao-Jing. Tao. Journal of Inequalities and Applications. 25 September 2014. 2014. 1. 370. 10.1186/1029-242x-2014-370. 1405.4387. 55843711 . free .
10. Web site: Spline Functions – from Wolfram Library Archive.
11. Web site: Tutorials.
12. Optimal bounds for Neuman–Sándor mean in terms of the geometric convex combination of two Seiffert means. Hua-Ying. Huang. Nan. Wang. Bo-Yong. Long. Journal of Inequalities and Applications. 8 January 2016. 2016. 1. 10.1186/s13660-015-0955-2. free.
13. Web site: Ele-Math – Journal of Mathematical Inequalities: Sharp Lehmer mean bounds for Neuman means with applications.
14. Web site: Ele-Math – Journal of Mathematical Inequalities: Sharp inequalities involving Neuman means of the second kind.
15. Web site: JIPAM – Journal of Inequalities in Pure and Applied Mathematics.
16. Web site: Journal of Inequalities and Special Functions. 2016-10-11. https://web.archive.org/web/20151025165416/http://91.187.98.171/ilirias/jiasf/editorial.html. 2015-10-25. dead.
17. Web site: Ele-Math – Journal of Mathematical Inequalities: Editorial board.
18. On the Schwab–Borchardt mean. Math Pannon.
19. https://www.researchgate.net/profile/Edward_Neuman/publication/251345676_On_the_Schwab-Borchardt_mean_II/links/00b7d5268281455553000000.pdf On the Schwab–Borchardt mean II
20. The Weighted Logarithmic Mean. E.. Neuman. Journal of Mathematical Analysis and Applications. 1 December 1994. 188. 3. 885–900. 10.1006/jmaa.1994.1469. free.