n-exponential convexity of divided differences and related Stolarsky type means
نویسندگان
چکیده
منابع مشابه
Generalization 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 کاملExponential convexity of Petrović and related functional
* Correspondence: [email protected] Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan Full list of author information is available at the end of the article Abstract We consider functionals due to the difference in Petrović and related inequalities and prove the log-convexity and exponential convexity of these functionals by using different families of functions...
متن کاملStolarsky 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 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 کاملFunctionals of exponential Brownian motion and divided differences
We provide a surprising new application of classical approximation theory to a fundamental asset-pricing model of mathematical finance. Specifically, we calculate an analytic value for the correlation coefficient between exponential Brownian motion and its time average, and we find the use of divided differences greatly elucidates formulae, providing a path to several new results. As applicatio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2013
ISSN: 1331-4343
DOI: 10.7153/mia-16-82