[Turkmath:6870] Weekly Online Seminar "Analysis and Applied Mathematics"

[Allaberen Ashyralyev]

Dear All,
You are cordially invited to the  Weekly Online Seminar “Analysis and
Applied Mathematics” on
*Date*: Tuesday, December 24, 2024
*Time:* 14.00-15.00 (Istanbul) = 13.00-14.00 (Ghent) = 16.00-17.00 (Almaty)
*Place:* Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1

*Speaker: Dr. Yagub N. Aliyev *
ADA University, Baku, Azerbaijan
*Title: *The extremal values of the ratio of differences of power mean,
arithmetic mean, and geometric mean
*Abstract:* In the talk the maximum and the minimum of the ratio of the
difference of the arithmetic mean and the geometric mean, and the
difference of the power mean and the geometric mean of n variables, is
discussed. A new optimization argument was used which reduces *n* variable
optimization problem to a single variable. All possible cases of the choice
of the power mean and the choice of the number of variables of the means is
studied. The obtained results generalize and complete the earlier results
which were either for specific intervals of power means or for a small
number of variables of the means. Some of the results are formulated as the
best constant inequalities involving interpolation of the arithmetic mean
and the geometric mean.
 *Abstracts and forthcoming talks can be found on our webpage*
https://sites.google.com/view/aam-seminars
With my best wishes
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University,**34349**, Istanbul,
Turkiye*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars

https://ejaam.org/editorial.html

*https://icaam-online.org/ <https://icaam-online.org/>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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