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IJMSI 2024, 19(2): 1-12 |
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Vukelić A. On Lah-Ribarič Inequality Involving Averages of Convex Functions. IJMSI 2024; 19 (2) :1-12
URL: http://ijmsi.ir/article-1-1522-en.html
URL: http://ijmsi.ir/article-1-1522-en.html
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.
Type of Study: Research paper |
Subject:
General
References
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