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- W2015921068 abstract "This note exhibits a brief and relatively elementary approach which the author has used when time and other exigencies precluded a more conventional development. The reader is referred to the recent paper of Cesari [1], particularly ??8, 10, 11. Let x be a continuous rectifiable mapping of a closed interval [a, b] into a fixed bounded closed subset A of the En and let [t_-1, t,] denote a general subinterval of [a, b] under a partition. Let f be a real function of (x, r) EA XEn subject to the conditions I. f is continuous in (x, r), II. f(x, kr) =kf(x, r), k_g!0, III. f(x, r)>0, r?0. Letting the norm of the partition tend to 0, one then defines the Weierstrass integral denoted here by W[x; a, b; f] as the limit," @default.
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- W2015921068 date "1960-01-01" @default.
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- W2015921068 title "Lipschitzian parameterizations and existence of minima in the calculus of variations" @default.
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- W2015921068 doi "https://doi.org/10.1090/s0002-9939-1960-0112063-6" @default.
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