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An inequality similar to Opial’s inequality [PDF]
Proceedings of the American Mathematical Society, 1969 rb 1 b (1) fJ |yy(n) I dx (b ? a)n1 I y(n) 12dx. 2 (He employs (1) to prove uniqueness of the initial value problem for linear differential equations of order n.) Also there are generalizations of Opial's original inequality in other directions. (See, for instance, Calvert [2] and Yang [6].) The purpose of this note is to obtain a sharper version of (1)
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Which Inequality? The Inequality of Endowments versus the Inequality of Rewards [PDF]
American Economic Journal: Microeconomics, 2010 We introduce a new distinction between inequality in initial endowments (e.g., ability, inherited wealth) and inequality of what one can obtain as rewards (e.g., prestigious positions, money). We show that, when society allocates resources via tournaments, these two types of inequality have opposing effects on equilibrium behavior and well-being ...
Ed Hopkins, Tatiana Kornienko
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SSRN Electronic Journal, 2000 Abstract The deteriorating position ofless-qualified workers has been a growing cause for concern in many OECD countries in the 1980s and 1990s. As well as contributing directly to rising inequality, it compounds the difficulties faced by workers already disadvantaged in the labour market for reasons of age, gender, or race.
Andrew Glyn, Wiemer Salverda
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Physical Review D, 1995 Various issues surrounding a recently proposed inequality among twist-two quark distributions in the nucleon are discussed. We provide a rigorous derivation of the inequality in QCD, including radiative corrections and scale dependence. We also give a more heuristic, but more physical derivation, from which we show that a similar inequality does not ...
Goldstein, Gary R. +2 more
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Complaints and inequality [PDF]
Social Choice and Welfare, 2004 The authors move beyond the Temkin suggestion [see \textit{L. S. Temkin}, Inequality, Oxford Ethics Ser., Oxford University Press, Oxford (1993)] about the nature of complaints and the way in which they may be aggregated in order to provide a rigorous analysis of a tape of inequality index and inequality literature.
Frank A. Cowell, Udo Ebert
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INEQUALITIES RELATED WITH CARLSON'S INEQUALITY
Tamkang Journal of Mathematics, 1998 We prove a generalizatin of Cadson's inequality. We improve a previous equivalent inequality of Carlson's inequality and give some examples.
Barza, Sorina, Popa, Emil C.
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An inequality of Schur and an inequality of Newton [PDF]
Proceedings of the American Mathematical Society, 1969 2 (1.3) Er ? Er-iEr+1 and (1.4) 1r ? Hr-lHr+i. 1 The inequality (1.3) is known as Newton's inequality and is true when a1, a2, * * *, am are real numbers. The inequality (1.4), given by Professor Schur, is true when a1, a2, * * X am are nonnegative reals. In [1], Whiteley has given the following generalizations of (1.3) and (1.4): Let (1.5) El(K) = Xi1,
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Heinz’s inequality and Bernstein’s inequality [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: The purpose of the present account is to sharpen Heinz's inequality, and to investigate the equality and the bound of the inequality. As a consequence of this we present a Bernstein type inequality for nonselfadjoint operators. The Heinz inequality can be naturally extended to a more general case, and from which we obtain in particular Bessel ...
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Inequalities Similar to Hilbert's Inequality [PDF]
Abstract and Applied Analysis, 2013 In the present paper, we establish some new inequalities similar to Hilbert’s type inequalities. Our results provide some new estimates to these types of inequalities.
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Some inequalities related to Hölder’s inequality [PDF]
Proceedings of the American Mathematical Society, 1981 In this paper we generalize the Jodeit-Jones-Moser inequalities relating 0 ⩽
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