The generalised Hadamard inequality, g-convexity and functional Stolarsky means
نویسندگان
چکیده
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.
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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 کاملOn Stolarsky inequality for Sugeno and Choquet integrals
Keywords: Fuzzy measure Sugeno integral Choquet integral Stolarsky's inequality a b s t r a c t Recently Flores-Franulič, Román-Flores and Chalco-Cano proved the Stolarsky type inequality for Sugeno integral with respect to the Lebesgue measure k. The present paper is devoted to generalize this result by relaxing some of its requirements. Moreover, Stolar-sky inequality for Choquet integral is ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2003
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700037680