On Levinson's operator inequality and its converses (Q2341016)
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| Language | Label | Description | Also known as |
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| English | On Levinson's operator inequality and its converses |
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On Levinson's operator inequality and its converses (English)
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21 April 2015
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As a continuation of [the first author et al., J. Math. Inequal. 9, No. 4, 1271--1285 (2015; \url{doi:10.7153/jmi-09-97})], the authors give some results and refinements of Levinson's operator inequality [\textit{N. Levinson}, J. Math. Anal. Appl. 8, 133--134 (1964; Zbl 0128.05803)] and its converse for normalized positive linear mappings and some large class of \(3\)-convex functions at a point \(c\).
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self-adjoint operator
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positive linear mapping
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convex function
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Levinson's inequality
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Mond-Pečarić method
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