The best constants for multidimensional modular inequalities over spherical cones

Chen, Chang-Pao; Lan, Jin-Wen; Luor, Dah-Chin

doi:10.1080/03081087.2013.777438

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Corresponding To G(t) In Particular G(t) Can Be Of the For1

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Cited by 3 publications

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“…All authors read and approved the final manuscript. 1 Center for General Education, Hsuan Chuang University, Hsinchu, 30092, Taiwan, Republic of China. 2 Municipal Jianguo High School, Taipei, 10066, Taiwan, Republic of China.…”

Section: Corresponding To G(t) In Particular G(t) Can Be Of the Formentioning

confidence: 99%

Estimates of the modular-type operator norm of the general geometric mean operator

Chen

Lan²

2015

J Inequal Appl

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In this paper, the modular-type operator norm of the general geometric mean operator over spherical cones is investigated. We give two applications of a new limit process, introduced by the present authors, to the establishment of Pólya-Knopp-type inequalities. We not only partially generalize the sufficient parts of Persson-Stepanov's and Wedestig's results, but we also provide new proofs to these results. MSC: 47A30; 26D10; 26D15

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Section: Corresponding To G(t) In Particular G(t) Can Be Of the Formentioning

confidence: 99%