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A concise proof of Oppenheim's double inequality relating to the cosine and sine functions  [PDF]
Feng Qi,Bai-Ni Guo
Mathematics , 2009, DOI: 10.7153/jmi-06-63
Abstract: In this paper, we provide a concise proof of Oppenheim's double inequality relating to the cosine and sine functions. In passing, we survey this topic.
On a geometric inequality  [PDF]
Teodor Oprea
Mathematics , 2005,
Abstract: As we showed in [3], a geometric inequality can be regarded as an optimization problem. In this paper we find another proof for a Chen's inequality,regarding the Ricci curvature [2] and we improve this inequality in the Lagrangian case.
Affine-geometric Wirtinger inequality  [PDF]
Mohammad N. Ivaki
Mathematics , 2012,
Abstract: A generalization of the affine-geometric Wirtinger inequality for curves to hypersurfaces is given.
An inequality for t-geometric means  [PDF]
Dinh Trung Hoa
Mathematics , 2015,
Abstract: In this note we prove an inequality for t-geometric means that immediately implies the recent results of Audenaert [2] and Hayajneh-Kittaneh [6].
A refinement of the arithmetic-geometric mean inequality  [PDF]
Shigeru Furuichi
Mathematics , 2009,
Abstract: We shall give a refinement of the arithmetic-geometric mean inequality.
Selfimprovemvent of the inequality between arithmetic and geometric means  [PDF]
J. M. Aldaz
Mathematics , 2008,
Abstract: We present a refinement, by selfimprovement, of the arithmetic geometric inequality.
A simple proof on the inequality of arithmetic and geometric means  [PDF]
Haoxiang Lin
Mathematics , 2011,
Abstract: In this short paper we show that the inequality of arithmetic and geometric means is reduced to another interesting inequality, and a proof is provided.
Applications of Arithmetic Geometric Mean Inequality  [PDF]
Wasim Audeh
Advances in Linear Algebra & Matrix Theory (ALAMT) , 2017, DOI: 10.4236/alamt.2017.72004
Abstract: The well-known arithmetic-geometric mean inequality for singular values, due to Bhatia and Kittaneh, is one of the most important singular value inequalities for compact operators. The purpose of this study is to give new singular value inequalities for compact operators and prove that these inequalities are equivalent to arithmetic-geometric mean inequality, the way by which several future studies could be done.
A geometric inequality for circle packings  [PDF]
Pablo A. Parrilo,Ronen Peretz
Mathematics , 2002, DOI: 10.1007/s00454-003-2880-2
Abstract: A geometric inequality among three triangles, originating in circle packing problems, is introduced. In order to prove it, we reduce the original formulation to the nonnegativity of a particular polynomial in four real indeterminates. Techniques based on sum of squares decompositions, semidefinite programming, and symmetry reduction are then applied to provide an easily verifiable nonnegativity certificate.
On a mixed arithmetic-geometric mean inequality  [PDF]
Peng Gao
Mathematics , 2013,
Abstract: We extend a result of Holland on a mixed arithmetic-geometric mean inequality.
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