Refinements of generalized Hölder's inequality
نویسندگان
چکیده
منابع مشابه
Refinements of Generalized Hölder’s Inequality
In this paper, we present some refinements of a generalized Hölder’s inequality, which is due to Vasić and Pečarić. Mathematics subject classification (2010): Primary 26D15; Secondary 26D10.
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Let V and D denote, respectively, total variation and divergence. We study lower bounds of D with V fixed. The theoretically best (i.e. largest) lower bound determines a function L = L(V ), Vajda’s tight lower bound, cf. Vajda, [?]. The main result is an exact parametrization of L. This leads to Taylor polynomials which are lower bounds for L, and thereby extensions of the classical Pinsker ine...
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Jing-Feng Tian and Shu-YanWang 1 College of Science and Technology, North China Electric Power University, Baoding, Hebei Province 071051, China 2Department of Mathematics and Computer, Baoding University, Baoding, Hebei Province 071000, China Correspondence should be addressed to Jing-Feng Tian; tianjfhxm [email protected] Received 13 October 2012; Accepted 30 December 2012 Academic Editor: Shanh...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2013
ISSN: 1846-579X
DOI: 10.7153/jmi-07-64