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On the eigenvalues of the fredholm operator

We prove that if ω(t, x, K 2 (m) )⩽c(x)ω(t) for allxε[a, b] andx ε [0,b-a] wherec ∈L 1(a, b) and ω is a modulus of continuity, then λ n =O(n −m-1/2ω(1/n)) and this estimate is unimprovable.

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Bibliographic Details
Date:	1996
Main Authors:	Sheremeta, M. M., Шеремета, М. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1996
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5369
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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