Abstract
We prove that if ω(t, x, K (m)2 )⩽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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Sheremeta, M.M. On the eigenvalues of the fredholm operator. Ukr Math J 48, 130–139 (1996). https://doi.org/10.1007/BF02390990
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DOI: https://doi.org/10.1007/BF02390990