On Lah-Ribarič Inequality Involving Averages of Convex Functions

Author(s):

Ana Vukelić*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:19 Issue: 2, Nov 2024
Pages:
1 to 12
https://www.magiran.com/p2761605