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Theorem of Lindeberg in the calculus of variations

1946
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Transactions of the American Mathematical Society
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1. Introduction. The present paper is the second of a sequence of three papers concerned with the isoperimetric problem of Bolza in parametric form. The first paper(') is concerned with certain properties of the Weierstrass ¿-function that will be useful in the present paper and in the one to follow. The third paper will be concerned with a sufficiency theorem conjectured by McShane(2). In the present note is found an extension of the theorem of Lindeberg and related results. This theorem is an

doi:10.1090/s0002-9947-1946-0017479-1
fatcat:jtmybbct5bfnfghrto4jyxdkta