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.

Type of Study: Research paper |
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