On Lah-Ribaric Inequality Involving Averages of Convex Functions

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Vukelic Ana

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2024 | Volume:19 | Issue:2 Page(s): 1-12

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Information Journal Paper

Title

On Lah-Ribaric Inequality Involving Averages of Convex Functions

Author(s)

Vukelic Ana | Issue Writer Certificate

Keywords

Lah-Ribarič inequality

Divided differences

n-convex function

m)-convex function

Exponential convexity

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.

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