Stolarsky Means in Many Variables

We give in this article two possible explicit extensions of Stolarsky means to the multi-variable case. They attain all main properties of Stolarsky means and coincide with them in the case of two variables.

Bibliographic Details
Main Authors: Slavko Simić, Bandar Bin-Mohsin
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/8/1320
id doaj-0052a945b4cf4ca2ab54dd1a184c7ba1
record_format Article
spelling doaj-0052a945b4cf4ca2ab54dd1a184c7ba12020-11-25T03:31:54ZengMDPI AGMathematics2227-73902020-08-0181320132010.3390/math8081320Stolarsky Means in Many VariablesSlavko Simić0Bandar Bin-Mohsin1Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, VietnamDepartment of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaWe give in this article two possible explicit extensions of Stolarsky means to the multi-variable case. They attain all main properties of Stolarsky means and coincide with them in the case of two variables.https://www.mdpi.com/2227-7390/8/8/1320extended mean valueslogarithmic convexitymulti-variable case
collection DOAJ
language English
format Article
sources DOAJ
author Slavko Simić
Bandar Bin-Mohsin
spellingShingle Slavko Simić
Bandar Bin-Mohsin
Stolarsky Means in Many Variables
Mathematics
extended mean values
logarithmic convexity
multi-variable case
author_facet Slavko Simić
Bandar Bin-Mohsin
author_sort Slavko Simić
title Stolarsky Means in Many Variables
title_short Stolarsky Means in Many Variables
title_full Stolarsky Means in Many Variables
title_fullStr Stolarsky Means in Many Variables
title_full_unstemmed Stolarsky Means in Many Variables
title_sort stolarsky means in many variables
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-08-01
description We give in this article two possible explicit extensions of Stolarsky means to the multi-variable case. They attain all main properties of Stolarsky means and coincide with them in the case of two variables.
topic extended mean values
logarithmic convexity
multi-variable case
url https://www.mdpi.com/2227-7390/8/8/1320
work_keys_str_mv AT slavkosimic stolarskymeansinmanyvariables
AT bandarbinmohsin stolarskymeansinmanyvariables
_version_ 1724570958070546432