International Journal of Mathematics and Mathematical Sciences

Means and Their Inequalities


Publishing date
10 May 2013
Status
Published
Submission deadline
21 Dec 2012

Lead Editor

1Yarmouk University, Irbid, Jordan

2The University of British Columbia, Vancouver, BC, Canada

3Zielona Góra University, Poland

4Southern Illinois University Carbondale, Carbondale, IL, USA

5Mathematical Institute of the Serbian Academy of Sciences and Arts, Beograd, Serbia


Means and Their Inequalities

Description

Means have attracted attention of mathematicians since the ancient times. It is well known that several means have been introduced by ancient Greek mathematicians, starting with Pythagoras, whose school is credited with discovering the arithmetic, geometric, and harmonic means while developing a theory of music. Their algebraic and geometric appeal together with their numerous applications in areas such as probability, statistics, and engineering made means an indispensable tool in science and have kept the subject alive and dynamically growing.

This special issue is devoted to all aspects of the subject. Investigators are invited to submit original research articles as well as review articles that would enhance the understanding of and stimulate and activate research in the field. Articles relating means to other disciplines such as geometry, probability, and functional equations are also welcome. Potential topics include, but are not limited to:

  • Generalizations of bivariate means to means of several variables
  • Inequalities involving well-known families of means (such as Stolarsky, Gini, and Seiffert means)
  • Inequalities involving convex combinations of means
  • Iterative means
  • Quasiarithmetic means and their characterizations
  • Means as mean values
  • Means as best approximants
  • Operator and functional means
  • Means arising from geometric configurations

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ijmms/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 698906
  • - Editorial

Means and Their Inequalities

Mowaffaq Hajja | Peter S. Bullen | ... | Slavko Simic
  • Special Issue
  • - Volume 2013
  • - Article ID 689560
  • - Research Article

Some Elementary Aspects of Means

Mowaffaq Hajja
  • Special Issue
  • - Volume 2013
  • - Article ID 283127
  • - Research Article

On Some Intermediate Mean Values

Slavko Simic
  • Special Issue
  • - Volume 2012
  • - Article ID 540710
  • - Research Article

The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications

Zhen-Hang Yang
  • Special Issue
  • - Volume 2012
  • - Article ID 315697
  • - Research Article

Refinements of Inequalities among Difference of Means

Huan-Nan Shi | Da-Mao Li | Jian Zhang
  • Special Issue
  • - Volume 2012
  • - Article ID 730962
  • - Research Article

Complete Moment Convergence of Weighted Sums for Arrays of Rowwise -Mixing Random Variables

Ming Le Guo
  • Special Issue
  • - Volume 2012
  • - Article ID 597490
  • - Research Article

On Huygens' Inequalities and the Theory of Means

József Sándor
  • Special Issue
  • - Volume 2012
  • - Article ID 430692
  • - Research Article

A Nice Separation of Some Seiffert-Type Means by Power Means

Iulia Costin | Gheorghe Toader
International Journal of Mathematics and Mathematical Sciences
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