Some complementary inequalities to Jensen’s operator inequality
نویسندگان
چکیده
منابع مشابه
Some complementary inequalities to Jensen’s operator inequality
In this paper, we study some complementary inequalities to Jensen's inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method. These results are applied to obtain some inequalities with quasi-arithmetic means.
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where f, g are two differentiable functions and f ′, g′ ∈ L∞(a, b) and p is a positive and integrable function on [a, b]. Other interesting corollaries are also presented in [12]. Many researchers have given considerable attention to (1) and several inequalities related to this functional have appeared in the literature, to mention a few, see [1, 3, 8, 15, 16, 19, 20, 22] and the references cit...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2018
ISSN: 1029-242X
DOI: 10.1186/s13660-018-1616-z