Results 241 to 250 of about 783,766 (273)
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1993
H. Xu and Z. Xu [1] claimed the following inequality in L p (1 < p < 2): $${\left( {\left. {\parallel \lambda x + \mu y{\parallel ^2} + g\left( \mu \right)\parallel x - y{\parallel ^2}} \right)} \right.^{1/2}}{\left( {\lambda \parallel x{\parallel ^p} + \mu \parallel y{\parallel ^p}} \right)^{1/p}}$$ (1.1) where x,y ∈ L p , 0 ≤ µ ≤ 1, λ = 1 −
D. S. Mitrinović +2 more
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H. Xu and Z. Xu [1] claimed the following inequality in L p (1 < p < 2): $${\left( {\left. {\parallel \lambda x + \mu y{\parallel ^2} + g\left( \mu \right)\parallel x - y{\parallel ^2}} \right)} \right.^{1/2}}{\left( {\lambda \parallel x{\parallel ^p} + \mu \parallel y{\parallel ^p}} \right)^{1/p}}$$ (1.1) where x,y ∈ L p , 0 ≤ µ ≤ 1, λ = 1 −
D. S. Mitrinović +2 more
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1997
In this chapter we prove that if Γ is a Carleson curve and w is a weight in A P (Γ) (1
Albrecht Böttcher, Yuri I. Karlovich
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In this chapter we prove that if Γ is a Carleson curve and w is a weight in A P (Γ) (1
Albrecht Böttcher, Yuri I. Karlovich
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On the Normative Measurement of Inequality
The Bangladesh Development Studies, 1978Recent attempts at devising normative measures of inequality are critically examined in this paper. It is argued that some of the well-known measures are operationally irrelevant in comparing inequality between situations involving unequal total incomes.
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On some inequalities in normed algebras
2008Summary: Some inequalities in normed algebras that provide lower and upper bounds for the norm of \(\sum_{j=1}^{n}a_{j}x_{j}\) are obtained. Applications for estimating the quantities \(\left\| \left\| x^{-1}\right\| x\pm \left\| y^{-1}\right\| y\right\|\) and \(\left\| \left\| y^{-1}\right\| x\pm \left\| x^{-1}\right\| y\right\|\) for invertible ...
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2002
4.1 Operator Monotone Functions 4.2 Cartesian Decompositions Revisited 4.3 Arithmetic-Geometric Mean Inequalities 4.4 Inequalities of Holder and Minkowski Types 4.5 Permutations of Matrix Entries 4.6 The Numerical Radius 4.7 Norm Estimates of Banded ...
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4.1 Operator Monotone Functions 4.2 Cartesian Decompositions Revisited 4.3 Arithmetic-Geometric Mean Inequalities 4.4 Inequalities of Holder and Minkowski Types 4.5 Permutations of Matrix Entries 4.6 The Numerical Radius 4.7 Norm Estimates of Banded ...
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2016
This chapter describes the standard approach to normative inequality measurement. The key idea is to interpret inequality as a welfare loss, when social welfare is measured by a conventional social welfare function. We focus on the of Atkinson family of inequality indices, which extends the initial ideas of Dalton by applying some of the notions that ...
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This chapter describes the standard approach to normative inequality measurement. The key idea is to interpret inequality as a welfare loss, when social welfare is measured by a conventional social welfare function. We focus on the of Atkinson family of inequality indices, which extends the initial ideas of Dalton by applying some of the notions that ...
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A multilinear reverse Hölder inequality with applications to multilinear weighted norm inequalities
Georgian Mathematical Journal, 2020David Cruz-Uribe, Kabe Moen
exaly
Approximating the Cut-Norm via Grothendieck's Inequality
SIAM Journal on Computing, 2006Assaf Naor
exaly