2022
DOI: 10.1002/mana.202000084
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Lp$L_p$‐cosine transform of the (p,q)${(p,q)}$‐th dual curvature measure

Abstract: The (𝑝, 𝑞)-th dual curvature measure was introduced by Lutwak, Yang and Zhang. In this paper, we study the 𝐿 𝑝 cosine transform of the (𝑝, 𝑞)-th dual curvature measure which defines a new convex body. We prove that the new convex body unifies the 𝐿 𝑝 Petty projection body and the 𝐿 𝑝 centroid body. The corresponding affine isoperimetric inequality is also obtained. It is an extension of the known 𝐿 𝑝 Petty projection inequality. K E Y W O R D S𝐿 𝑝 centroid body, 𝐿 𝑝 cosine transform, 𝐿 𝑝 Pett… Show more

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Cited by 4 publications
(4 citation statements)
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“…Hybrid deposition processes are being explored as protective coatings such as high-velocity oxygen-fuel coupled physical vapor deposition (HVOF-PVD) duplex coatings. These duplex coatings superimpose the synergistic advantages of coatings deposited by HVOF and PVD, where the traditional weaknesses of each technique are modified to a great certain extent (Zhang et al, 2022).…”
Section: Coatings-soft and Hard Or Thick And Thin Face Challengesmentioning
confidence: 99%
“…Hybrid deposition processes are being explored as protective coatings such as high-velocity oxygen-fuel coupled physical vapor deposition (HVOF-PVD) duplex coatings. These duplex coatings superimpose the synergistic advantages of coatings deposited by HVOF and PVD, where the traditional weaknesses of each technique are modified to a great certain extent (Zhang et al, 2022).…”
Section: Coatings-soft and Hard Or Thick And Thin Face Challengesmentioning
confidence: 99%
“…One-variable statistical calculations are then performed on the thickness array. Processed data is output as a MATLAB struct object, and can be saved as a human-readable JavaScript Object Notation (JSON) or binary (but smaller file size) Hierarchical Data Format version 5 (HDF5) file via Qianqian Fang's JSONLab or EasyH5 respectively 31,32 . The merits of using this two-software system are discussed in the Results and Discussion section.…”
Section: Image Processing Algorithmmentioning
confidence: 99%
“…However, the report has not discussed the cause of the increasing chlorophyll-a concentration during the Northwest Monsoon. Meanwhile, around the area, there are three phenomena, namely Vietnam Coastal Jet (VCJ) [2], Natuna Island Eddy (NIE) [3], and Natuna Off-shelf current (NOC) [2], and [4], which is the NIE usually appears when VCJ and NOCs are strong. The NIE has a rotation with 0.6 m/s of maximum speed and an average of about 0.45-0.5 m/s in the core, cyclonic, and more stable in the Northwest Monsoon (NWS) [5] or Northeast Monsoon [6].…”
Section: Introductionmentioning
confidence: 99%