On some asymptotic expansion theorems

Kodai Mathematical Seminar Reports Pub Date : 1963-09-01 DOI:10.2996/KMJ/1138844785

T. Aonuma

引用次数: 2

Abstract

as extensions of the well-known summability theorem (§ 2) and convergence theorems (§3) in this paper. Before proceeding them, we state the following summability theorem and convergence theorems which we are concerned with. THEOREM A. (Bochner and Chandrasekharan [2]). If K(u)£L±(Q, oo), K(u) =o(u~) as U—+CO, /(w)€Lι(0, oo) and K(u) is monotone decreasing in 0^^

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关于一些渐近展开式定理

作为著名的可和性定理(§2)和收敛定理(§3)的推广。在进行它们之前，我们先说明我们所关心的可和性定理和收敛定理。定理a (Bochner and Chandrasekharan bb2010)。如果K(u)£L±(Q, oo)， K(u) =o(u~)作为u - +CO， /(w)€Lι(0, oo)和K(u)在0^^

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Kodai Mathematical Seminar Reports

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