ESTIMATES ON THE FINITE ELEMENT APPROXIMATIONS OF A QUADRATIC FUNCTIONAL

doi:10.1016/S0252-9602(12)60013-7

Abstract

Abstract:

This paper gives some estimates of a quadratic functional related with Rie-mann Hypothesis.

Key words: quadratic functional, estimate of lower bound, finite element

CLC Number:

47G20

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Xiaqi Ding. ESTIMATES ON THE FINITE ELEMENT APPROXIMATIONS OF A QUADRATIC FUNCTIONAL[J].Acta mathematica scientia,Series B, 2012, 32(1): 209-218.

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URL: http://actams.apm.ac.cn/sxwlxbB/EN/10.1016/S0252-9602(12)60013-7

http://actams.apm.ac.cn/sxwlxbB/EN/Y2012/V32/I1/209

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[1] Ding Xiaqi, Luo Peizhu. On Ritz method of an integro-differential equation. Acta Math Sci, 2009, 29B(3): 687–696

[2] Ding Xiaqi, Luo Peizhu. Finite element approximation of an integro-di?erential operator. Acta Math Sci, 2009, 29B(6): 1767–1776

[3] Ding Xiaqi. The Estimate of a Quadratic Functional (I) (in Chinese). Acta Math Sci, 2010, 30A(5): 1347–1353

[4] Hardy G H, Littlewood J E, Polya G. Inequlition. Cambridge Univ Press, 1952

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