Sharp generalized Seiffert mean bounds for the Toader mean of order 4
In the article, we present the best possible parameters α , β such that the double inequality S α ( a , b ) < T 4 ( a , b ) < S β ( a , b ) holds for a , b > 0 with a ≠ b , and provide new bounds for the complete elliptic integral of the second kind, where S p ( a , b ) and T 4 ( a , b ) ar...
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| Veröffentlicht in: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2021-07, Vol.115 (3), Article 106 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In the article, we present the best possible parameters
α
,
β
such that the double inequality
S
α
(
a
,
b
)
<
T
4
(
a
,
b
)
<
S
β
(
a
,
b
)
holds for
a
,
b
>
0
with
a
≠
b
, and provide new bounds for the complete elliptic integral of the second kind, where
S
p
(
a
,
b
)
and
T
4
(
a
,
b
)
are the generalized Seiffert mean and Toader mean of order 4, respectively. |
|---|---|
| ISSN: | 1578-7303 1579-1505 |
| DOI: | 10.1007/s13398-021-01048-w |