Title of article
On influence of modulus of continuity of the coefficient P2(x) on uniform equiconvergence rate for an even order differential operator
Author/Authors
Kurbanov, Vali M. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Gojayeva, Khadija R. Azerbaijan State Pedagogical University, Baku, Azerbaijan
Pages
10
From page
77
To page
86
Abstract
In the paper, an even order ordinary differential operator is considered on the interval
G = (0, 1). Uniform equiconvergence on a compact of a spectral expansion in root functions of the
given operator with trigonometric expansion is studied. Dependence of uniform equiconvergence rate on
the modulus of continuity of the coefficient at (n − 2)−th derivative in the given operators, is revealed
Keywords
spectral expansion , root functions , uniform equiconvergence rate
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2017
Full Text URL
Record number
2611523
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