The Petty Projection Inequality for L p -Mixed Projection Bodies

Wang, Weidong; Leng, Gang Song

doi:10.1007/s10114-005-0894-9

Cited by 22 publications

(7 citation statements)

References 27 publications

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“…Moreover, projection bodies were extended in other ways, e.g., to mixed projection bodies by Lutwak (see [28,29]). Recently, Lutwak, Yang and Zhang introduced for p ≥ 1 L p -projection bodies and obtained a series of striking results [32], see also [19,33,34,37,[46][47][48][49][50][51][52]. Motivated by well known properties of the projection body operator Π : K n → K n , Schuster [42] introduced the notion of Blaschke-Minkowski homomorphisms:…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Differences of Quermass- and Dual Quermassintegrals of Blaschke-Minkowski and Radial Blaschke-Minkowski Homomorphisms

Feng¹,

Wang²,

Yuan³

2014

Bull. Belg. Math. Soc. Simon Stevin

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Section: Introduction and Main Resultsmentioning

confidence: 99%

Differences of Quermass- and Dual Quermassintegrals of Blaschke-Minkowski and Radial Blaschke-Minkowski Homomorphisms

Feng¹,

Wang²,

Yuan³

2014

Bull. Belg. Math. Soc. Simon Stevin

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“…(2.9) and c n,p satisfies (1.3). For the general L p -projection bodies, some works have made in [19,20,25,26].…”

Section: General L P -Projection Bodies and L P -Cosine Transformationsmentioning

confidence: 99%

Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies

Wang¹

2023

ATA

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“…[59] Moreover, chitosan and collagen sponges prepared in 50/50 polymers weight ratio demonstrated improved mechanical parameter such as compressive strength. [18] Such a combination also promotes the proliferation [60][61][62] and osteoblastic differentiation of cells [63,64] as well as enhanced angiogenesis. [65] A variety of cell types such as fibroblasts, endotheria, human epidermoid carcinoma, and neutrophils have shown the efficient attach to chitosan/collagen matrixes.…”

Section: Tissue Engineeringmentioning

confidence: 99%

Chitosan/collagen blends with inorganic and organic additive—A review

Kaczmarek

Sionkowska

2017

Adv Polym Technol

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This review provides a report on recent studies of composite materials based on a chitosan and collagen mixture due to their biocompatibility and bioactivity. Those natural polymers are most widely used to obtain biomaterials. However, the materials based on chitosan/collagen complexes present poor mechanical parameters, as well as high swelling behavior and enzymatic degradation rate. Such properties are considered problematic for the material clinical application. An increased interest in composite materials has been observed due to their enhanced physicochemical properties. A composite material preparation involves different compounds addition to natural polymers. Herein, the use of organic and inorganic additives has been reported. Moreover, the potential application of composite materials based on chitosan/ collagen complexes in the tissue engineering science has been discussed. K E Y W O R D Schitosan, collagen, composite materials, tissue engineering How to cite this article: Kaczmarek B, Sionkowska A. Chitosan/collagen blends with inorganic and organic additive-A review. Adv Polym Technol.

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The Petty Projection Inequality for L p -Mixed Projection Bodies

Cited by 22 publications

References 27 publications

Differences of Quermass- and Dual Quermassintegrals of Blaschke-Minkowski and Radial Blaschke-Minkowski Homomorphisms

Differences of Quermass- and Dual Quermassintegrals of Blaschke-Minkowski and Radial Blaschke-Minkowski Homomorphisms

Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies

Chitosan/collagen blends with inorganic and organic additive—A review

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