61 resultados para CONVEX


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AMS subject classification: 90C30, 90C33.

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AMS subject classification: Primary 49J52; secondary: 26A27, 90C48, 47N10.

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2010 Mathematics Subject Classification: 35A23, 35B51, 35J96, 35P30, 47J20, 52A40.

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2000 Mathematics Subject Classification: 46B28, 47D15.

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2000 Mathematics Subject Classification: Primary 46H05, 46H20; Secondary 46M20.

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2000 Mathematics Subject Classification: 30C25, 30C45.

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2000 Mathematics Subject Classification: 26E25, 41A35, 41A36, 47H04, 54C65.

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In this paper, we give several results for majorized matrices by using continuous convex function and Green function. We obtain mean value theorems for majorized matrices and also give corresponding Cauchy means, as well as prove that these means are monotonic. We prove positive semi-definiteness of matrices generated by differences deduced from majorized matrices which implies exponential convexity and log-convexity of these differences and also obtain Lypunov's and Dresher's type inequalities for these differences.

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2000 Mathematics Subject Classification: 90C46, 90C26, 26B25, 49J52.

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2000 Mathematics Subject Classification: 26E35, 14H05, 14H20.

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2000 Mathematics Subject Classification: 54H25, 55M20.

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2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.

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2000 Mathematics Subject Classification: Primary 30C45, secondary 30C80.

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2000 Mathematics Subject Classification: 49J52, 49J50, 58C20, 26B09.