
doi: 10.1007/bf01903547
In the present paper we prove an equiconvergence of the Riesz means with exact order for functions with given integral modulus of continuity. Our proof is a synthesis which is based on a fruitful method of V. A. Il'in.
Asymptotic approximations, asymptotic expansions (steepest descent, etc.), differential operators, equiconvergence of the Riesz means, eigenfunction expansions, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
Asymptotic approximations, asymptotic expansions (steepest descent, etc.), differential operators, equiconvergence of the Riesz means, eigenfunction expansions, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
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