Hadamard duals, retractability and Oppenheim's inequality
نویسندگان
چکیده
منابع مشابه
On generalized Hermite-Hadamard inequality for generalized convex function
In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained. Some applications for some generalized special means are also given.
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Recently, new developments of the theory and applications of dynamic derivatives on time scales were made. The study provides an unification and an extension of traditional differential and difference equations and, in the same time, it is a unification of the discrete theory with the continuous theory, from the scientific point of view. Moreover, it is a crucial tool in many computational and ...
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Let F be an N×N complex matrix whose jth column is the vector ~ fj in C . Let |~ fj |2 denote the sum of the absolute squares of the entries of ~ fj . Hadamard’s inequality for determinants states that | det(F )| ≤ Nj=1 |~ fj |. Here we prove a sharp upper bound on the permanent of F , which is |perm(F )| ≤ N ! NN/2 N ∏ j=1 |~ fj |, and we determine all of the cases of equality. We also discuss...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2007
ISSN: 1846-3886
DOI: 10.7153/oam-01-21