The Improvement of Hölder’s Inequality with r -Conjugate Exponents Relative to the L p -Norm
This paper investigates Hölder’s inequality under the condition of r -conjugate exponents in the sense that ∑ k = 1 s 1 / p k = 1 / r . Successively, we have, under r -conjugate exponents relative to the L p -norm, investigated generalized Hölder’s inequality, the interpolation of Hölder’s inequalit...
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| Published in | Mathematical problems in engineering Vol. 2021; pp. 1 - 8 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
30.04.2021
|
| Online Access | Get full text |
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| Summary: | This paper investigates Hölder’s inequality under the condition of
r
-conjugate exponents in the sense that
∑
k
=
1
s
1
/
p
k
=
1
/
r
. Successively, we have, under
r
-conjugate exponents relative to the
L
p
-norm, investigated generalized Hölder’s inequality, the interpolation of Hölder’s inequality, and generalized
s
-order Hölder’s inequality which is an expansion of the known Hölder’s inequality. |
|---|---|
| ISSN: | 1024-123X 1563-5147 |
| DOI: | 10.1155/2021/5534469 |