A generalization of the Jensen inequality |
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| Authors: | V. Y. Kotlyar A. V. Antonov |
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| Affiliation: | (1) Institute of Internal Affairs., Kiev, Ukraine;(2) Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine |
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| Abstract: | A new approach for estimating functions and functionals based on the concept of function superconvexity and a generalization of the Jensen inequality is proposed. A new concept is introduced and the associated analytical results are substantiated. Some nontrivial estimates of functions are derived. Translated from Kibemetika i Sistemnyi Analiz, No. 2, pp. 89–99, March–April, 2000. |
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| Keywords: | Jensen inequality superconvexity of a function superdifferentiability of a function |
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