By introducing three parameters A, B, and , we give some generalizations of Hilbert's integral inequality and its equivalent form with the best constant factors. We also consider their associated double series forms.
✦ LIBER ✦
On a method for generalizations of tchebycheff’s inequality
✍ Scribed by Keiiti Isii
- Book ID
- 105641649
- Publisher
- Springer Japan
- Year
- 1959
- Tongue
- English
- Weight
- 860 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0020-3157
No coin nor oath required. For personal study only.
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In this paper we establish some new generalizations of the Hardy's inequality by using a fairly elementary analysis. The inequalities given here contain in the special cases, some of the recent generalizations of Hardy's integral inequality appearing in the literature.