Topic
Hadamard transform
About: Hadamard transform is a research topic. Over the lifetime, 7262 publications have been published within this topic receiving 94328 citations.
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TL;DR: In this article, a Hadamard variational formula for p-capacity of convex bodies in R n is established when 1 p n and existence and regularity for 1 p 2.
70 citations
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TL;DR: A generalization of Hadamard's inequality to r -convex functions is given in this article, and a corresponding generalization to Fink-Mond-Pecaric inequalities is established.
69 citations
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TL;DR: In this paper, it was shown that for any natural number q > 3, there exists an integer t ⩽ [2log2(q − 3)] such that an Hadamard matrix exists for every order 2sq where s > t.
69 citations
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TL;DR: Some new definitions for quantum integrals of two-variable functions are given and quantum Hermite–Hadamard-type inequalities for coordinated convex functions via newly defined quantum Integrals are established.
Abstract: In this paper, we give some new definitions for quantum integrals of two-variable functions. We establish quantum Hermite–Hadamard-type inequalities for coordinated convex functions via newly defined quantum integrals.
69 citations