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On an inverse to the H lder inequality  [cached]
J. Pe?ari?,C. E. M. Pearce
International Journal of Mathematics and Mathematical Sciences , 1997, DOI: 10.1155/s0161171297000264
Abstract: An extension is given for the inverse to H lder's inequality obtained recently by Zhuang.
On an isolation and a generalization of H?lder's inequality  [PDF]
Xiaojing Yang
International Journal of Mathematics and Mathematical Sciences , 2000, DOI: 10.1155/s0161171200003537
Abstract: We generalize the well-known Hölder inequality and give a condition at which theequality holds.
A H?lder-type inequality on a regular rooted tree  [PDF]
Kenneth J Falconer
Mathematics , 2014,
Abstract: We establish an inequality which involves a non-negative function defined on the vertices of a finite $m$-ary regular rooted tree. The inequality may be thought of as relating an interaction energy defined on the free vertices of the tree summed over automorphisms of the tree, to a product of sums of powers of the function over vertices at certain levels of the tree. Conjugate powers arise naturally in the inequality, indeed, H\"{o}lder's inequality is a key tool in the proof which uses induction on subgroups of the automorphism group of the tree.
The inequality of Milne and its converse
Alzer Horst,Kova?ec Alexander
Journal of Inequalities and Applications , 2002,
Abstract: We prove: Let be real numbers with . Then we have for all real numbers : with the best possible exponents and . The left-hand side of (0.1) with is a discrete version of an integral inequality due to E.A. Milne [1]. Moreover, we present a matrix analogue of (0.1).
A Note on H lder Type Inequality for the Fermionic -Adic Invariant -Integral  [cached]
Jang Lee-Chae
Journal of Inequalities and Applications , 2009,
Abstract: The purpose of this paper is to find H lder type inequality for the fermionic -adic invariant -integral which was defined by Kim (2008).
Generalizations of H?lder's inequality
Wing-Sum Cheung
International Journal of Mathematics and Mathematical Sciences , 2001, DOI: 10.1155/s0161171201005658
Abstract: Some generalized Hölder's inequalities for positive as well as negative exponents are obtained.
Matriceal Lebesgue spaces and H?lder inequality  [PDF]
Sorina Barza,Dimitri Kravvaritis,Nicolae Popa
Journal of Function Spaces and Applications , 2005, DOI: 10.1155/2005/376150
Abstract: We introduce a class of spaces of infinite matrices similar to the class of Lebesgue spaces Lp(T), 1≤p≤∞, and we prove matriceal versions of Hölder inequality.
The inequality of Milne and its converse II
Alzer Horst,Kova?ec Alexander
Journal of Inequalities and Applications , 2006,
Abstract: We prove the following let , and be real numbers, and let be positive real numbers with . The inequalities hold for all real numbers if and only if and . Furthermore, we provide a matrix version. The first inequality (with and ) is a discrete counterpart of an integral inequality published by E. A. Milne in 1925.
On the Converse of Talagrand's Influence Inequality  [PDF]
Saleet Klein,Amit Levi,Muli Safra,Clara Shikhelman,Yinon Spinka
Computer Science , 2015,
Abstract: In 1994, Talagrand showed a generalization of the celebrated KKL theorem. In this work, we prove that the converse of this generalization also holds. Namely, for any sequence of numbers $00$, it is possible to find a roughly balanced Boolean function $f$ such that $\textrm{Inf}_j[f] < a_j$ for every $1 \le j \le n$.
The inequality of Milne and its converse II
Horst Alzer,Alexander Kova?ec
Journal of Inequalities and Applications , 2006,
Abstract: We prove the following let α , β , a > 0 , and b > 0 be real numbers, and let w j ( j = 1 , … , n ; n ≥ 2 ) be positive real numbers with w 1 + … + w n = 1 . The inequalities α ∑ j = 1 n w j / ( 1 p j a ) ≤ ∑ j = 1 n w j / ( 1 p j ) ∑ j = 1 n w j / ( 1 + p j ) ≤ β ∑ j = 1 n w j / ( 1 p j b ) hold for all real numbers p j ∈ [ 0 , 1 ) ( j = 1 , … , n ) if and only if α ≤ min ( 1 , a / 2 ) and β ≥ max ( 1 , ( 1 min 1 ≤ j ≤ n w j / 2 ) b ) . Furthermore, we provide a matrix version. The first inequality (with α = 1 and a = 2 ) is a discrete counterpart of an integral inequality published by E. A. Milne in 1925.
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