Hölder inequality equality
2020年9月28日 — Consider H-"older's inequality $$ -|ab^*-|_1-le -|a-|_p-|b-|_q $$ for the ... The case of equality in Hölder's inequality for matrices and operators. ,2019年4月8日 — In this paper, we present some new extensions of Hölder's inequality and give a condition under which the equality holds. We also show that ... ,If p=q=2 , this inequality becomes Schwarz's inequality. Similarly, Hölder's inequality for sums states that. sum_(k=1)^n|a_kb_k|<=(sum_(. (4). with equality when ... , ,Equality occurs iff-fraca_1}^p}}b_1}^q}} =-fraca_2}^p}}b_2}^q}} = -cdots =-fraca_n}^p}}b_n}^q}}. Theorem 9.4. (Generalized Hölder's inequality). Leta ij ... ,2020年8月27日 — Let f∈Lp(μ),f:X→R, and g∈Lq(μ),g:X→R, where L denotes Lebesgue space. Then equality in Hölder's Inequality, that is: ∫|fg ... ,Since the proof of. Minkowski's inequality used Hölder's inequality, we first need the condition for Hölder's inequality to be an equality. Lemma 1. Let h ∈ Lp(µ) and ... ,On leo's request I'm posting my comment as an answer. Your treatment of the equality cases of Hölder's and Minkowski's inequalities are perfectly fine and clean ... ,2016年5月17日 — Consider Hölder's inequality -|ab^*-|_1-le -|a-|_p-|b-|_q. for the p-norms of some trace (a,b are matrices, compact operators, elements of a finite ... ,2018年7月1日 — The Hölder inequality comes from the Young inequality applied for every point in the domain, in fact if ‖x‖p=‖y‖q=1 (any other case can be ...
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 Hölder inequality equality 相關參考資料
(PDF) The case of equality in Hölder's inequality for matrices ...
2020年9月28日 — Consider H-"older's inequality $$ -|ab^*-|_1-le -|a-|_p-|b-|_q $$ for the ... The case of equality in Hölder's inequality for matrices and operators. https://www.researchgate.net Extensions and demonstrations of Hölder's inequality | Journal ...
2019年4月8日 — In this paper, we present some new extensions of Hölder's inequality and give a condition under which the equality holds. We also show that ... https://journalofinequalitiesa Hölder's Inequalities -- from Wolfram MathWorld
If p=q=2 , this inequality becomes Schwarz's inequality. Similarly, Hölder's inequality for sums states that. sum_(k=1)^n|a_kb_k|<=(sum_(. (4). with equality when ... https://mathworld.wolfram.com Hölder's inequality - Wikipedia
https://en.wikipedia.org Hölder's Inequality, Minkowski's Inequality and Their Variants ...
Equality occurs iff-fraca_1}^p}}b_1}^q}} =-fraca_2}^p}}b_2}^q}} = -cdots =-fraca_n}^p}}b_n}^q}}. Theorem 9.4. (Generalized Hölder's inequality). Leta ij ... https://link.springer.com Hölder's InequalityEquality - ProofWiki
2020年8月27日 — Let f∈Lp(μ),f:X→R, and g∈Lq(μ),g:X→R, where L denotes Lebesgue space. Then equality in Hölder's Inequality, that is: ∫|fg ... https://proofwiki.org Math 202B Solutions - Math Berkeley
Since the proof of. Minkowski's inequality used Hölder's inequality, we first need the condition for Hölder's inequality to be an equality. Lemma 1. Let h ∈ Lp(µ) and ... https://math.berkeley.edu On the equality case of the Hölder and Minkowski inequalites ...
On leo's request I'm posting my comment as an answer. Your treatment of the equality cases of Hölder's and Minkowski's inequalities are perfectly fine and clean ... https://math.stackexchange.com The case of equality in H" older's inequality for matrices and ...
2016年5月17日 — Consider Hölder's inequality -|ab^*-|_1-le -|a-|_p-|b-|_q. for the p-norms of some trace (a,b are matrices, compact operators, elements of a finite ... https://arxiv.org When does the equality hold in the Holder inequality ...
2018年7月1日 — The Hölder inequality comes from the Young inequality applied for every point in the domain, in fact if ‖x‖p=‖y‖q=1 (any other case can be ... https://math.stackexchange.com |