哈尔滨理工大学 理学院,哈尔滨,150080
Published:2021
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ZHAOLiang, ZHENGLixin. TheRelationshipBetweenGeneralizedModulus ofSmoothnessandMalutaConstantinBanachSpaces[J]. 2021, 26(1): 135-138.
DOI:
ZHAOLiang, ZHENGLixin. TheRelationshipBetweenGeneralizedModulus ofSmoothnessandMalutaConstantinBanachSpaces[J]. 2021, 26(1): 135-138. DOI: 10.15938/j.jhust.2021.01.019.
通过分析光滑模和广义光滑模之间的关系
应用广义光滑模的单调性和连续性
经过充分考虑广义光滑模中的参数的取值范围
给出了广义光滑模与Maluta常数之间的关系及证明。进而推广了光滑模与Maluta常数之间的不等式。
Byanalyzingtherelationshipbetweenthemodulusofsmoothnessandthegeneralizedmodulusofsmoothness
applyingthemonotonicityandcontinuityofthegeneralizedmodulusofsmoothnessandfullyconsideringtherangeofparametersinthegeneralizedmodulusofsmoothness
therelationshipbetweenthegeneralizedmodulusofsmoothnessandtheMalutaconstantisgivenandproved
andtheinequalitybetweenthemodulusofsmoothnessandtheMalutaconstantisgeneralized.
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