Generalized Levinson's inequality and exponential convexity
Copyright policy )Generalized Levinson's inequality and exponential convexity
We give a probabilistic version of Levinson's inequality under Mercer's assumption of equal variances for the family of 3-convex functions at a point. We also show that this is the largest family of continuous functions for which the inequality holds. New families of exponentially convex functions and related results are derived from the obtained inequality.
- University of Zagreb Croatia
- Institute of Mathematics Poland
- Polish Academy of Sciences Poland
- University of Zagreb, Faculty of Textile Technology Croatia
Levinson inequality, T57-57.97, Applied mathematics. Quantitative methods, Inequalities for sums, series and integrals, Levinson's inequality, exponential convexity, Levinson's inequality; exponential convexity
Levinson inequality, T57-57.97, Applied mathematics. Quantitative methods, Inequalities for sums, series and integrals, Levinson's inequality, exponential convexity, Levinson's inequality; exponential convexity
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