Title of article
On Lah-Ribarič Inequality Involving Averages of Convex Functions
Author/Authors
Vukelič ، Ana Mathematics Department - Faculty of Food Technology and Biotechnology - University of Zagreb
From page
1
To page
12
Abstract
By using the integral arithmetic mean and the Lah-Ribarič inequality we give the extension of Wulbert’s result from [15]. Also, we obtain inequalities with divided differences using the Lah-Ribarič inequality. As a consequence, the convexity of higher order for function defined by divided difference is proved. Further, we construct a new family of exponentially convex functions and Cauchy-type means by exploring at linear functionals with the obtained inequalities.
Keywords
Lah , Ribarič inequality , Divided differences , n , convex function , (n , m) , convex function , Exponential convexity
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Record number
2777230
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