Busemann-Petty Problems for Quasi <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> Intersection Bodies

Zhou, Yanping; Wu, Shanhe

doi:10.1155/2017/3124285

Journal of Function Spaces

2017

DOI: 10.1155/2017/3124285

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Busemann-Petty Problems for Quasi Lp Intersection Bodies

Yanping Zhou¹,

Shanhe Wu²

Abstract: We investigate the dual geominimal surface area and volume forms of Busemann-Petty problems for the quasi intersection bodies and establish some new geometric inequalities. Our results provide a significant complement to the researches on BusemannPetty problems for intersection bodies.

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2024

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On the polar dualities and star dualities of the quasi L_p -intersection bodies

Zhou,

Wang

2024

Georgian Mathematical Journal

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Yu, Wu and Leng defined the quasi L p {L_{p}} -intersection bodies. In this paper, we consider the polar dualities and star dualities of quasi L p {L_{p}} -intersection bodies and establish some related inequalities.

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On the polar dualities and star dualities of the quasi L_p -intersection bodies

Zhou,

Wang

2024

Georgian Mathematical Journal

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Busemann-Petty Problems for Quasi Lp Intersection Bodies

Abstract: We investigate the dual geominimal surface area and volume forms of Busemann-Petty problems for the quasi intersection bodies and establish some new geometric inequalities. Our results provide a significant complement to the researches on BusemannPetty problems for intersection bodies.

Cited by 1 publication

References 47 publications

On the polar dualities and star dualities of the quasi L_p -intersection bodies

On the polar dualities and star dualities of the quasi L_p -intersection bodies

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Busemann-Petty Problems for Quasi Lp Intersection Bodies

Abstract: We investigate the dual geominimal surface area and volume forms of Busemann-Petty problems for the quasi intersection bodies and establish some new geometric inequalities. Our results provide a significant complement to the researches on BusemannPetty problems for intersection bodies.

Cited by 1 publication

References 47 publications

On the polar dualities and star dualities of the quasi Lp -intersection bodies

On the polar dualities and star dualities of the quasi Lp -intersection bodies

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Product

Resources

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On the polar dualities and star dualities of the quasi L_p -intersection bodies

On the polar dualities and star dualities of the quasi L_p -intersection bodies