منابع مشابه
Stolarsky Means of Several Variables
A generalization of the Stolarsky means to the case of several variables is presented. The new means are derived from the logarithmic mean of several variables studied in [9]. Basic properties and inequalities involving means under discussion are included. Limit theorems for these means with the underlying measure being the Dirichlet measure are established.
متن کاملGeneralization of Stolarsky Type Means
provided that f : a, b → is a convex function 1, page 137 , 2, page 1 . This result for convex functions plays an important role in nonlinear analysis. These classical inequalities have been improved and generalized in a number of ways and applied for special means including Stolarsky type, logarithmic, and p-logarithmic means. A generalization of H.H inequalities was obtained in 3–5 , 2, page ...
متن کاملAn Extension of Stolarsky Means
In this article we give an extension of the well known Stolarsky means to the multi-variable case in a simple and applicable way. Some basic inequalities concerning this matter are also established with applications in Analysis and Probability Theory. AMS Mathematics Subject Classification (2000): 26A51, 60E15
متن کاملAn Extension of Stolarsky Means to the Multivariable Case
Recommended by Feng Qi We give an extension of well-known Stolarsky means to the multivariable case in a simple and applicable way. Some basic inequalities concerning this matter are also established with applications in Analysis and Probability Theory.
متن کاملInequalities for symmetric means
We study Muirhead-type generalizations of families of inequalities due to Newton, Maclaurin and others. Each family is defined in terms of a commonly used basis of the ring of symmetric functions in n variables. Inequalities corresponding to elementary symmetric functions and power sum symmetric functions are characterized by the same simple poset which generalizes the majorization order. Some ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2013
ISSN: 1846-579X
DOI: 10.7153/jmi-07-21