Approximation of analytic functions by generalized discrete shifts of the Lerch zeta-function
In the paper, we consider approximation of analytic functions by discrete shifts L ( λ , α , s + ψ ( k )), k ∈ N 0 = N ∪ 0 , of the Lerch zeta-function,where ψ is an increasing to +∞ real differentiable function with monotonic derivative satisfying some growth conditions and such that the sequence {...
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| Vydáno v: | Lithuanian mathematical journal Ročník 65; číslo 2; s. 254 - 270 |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
New York
Springer US
01.04.2025
Springer Nature B.V |
| Témata: | |
| ISSN: | 0363-1672, 1573-8825 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | In the paper, we consider approximation of analytic functions by discrete shifts
L
(
λ
,
α
,
s
+
ψ
(
k
)),
k
∈
N
0
=
N
∪
0
, of the Lerch zeta-function,where
ψ
is an increasing to +∞ real differentiable function with monotonic derivative satisfying some growth conditions and such that the sequence {
aψ
(
k
):
k
∈
N
},
a
≠ 0, is uniformly distributed modulo 1. We obtain that the set of above shifts approximating every analytic function from a certain set has a positive lower density. |
|---|---|
| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0363-1672 1573-8825 |
| DOI: | 10.1007/s10986-025-09679-x |