On Weak Parallelogram Constants for Lebesgue Spaces

  • MhamdHasn Abdulrzaq Basra, Iraq
  • MhamdHasn Allatef Basra, Iraq
Keywords: Normed space, Lebesgue space, Parallelogram Laws, Smooth Norm, Uniformly Smooth Norm, Weak Parallelogram Constant


This paper comprehensively examines fundamental principles pertaining to parallelogram and parallelogram (abbreviated as w.p.) laws. Emphasis is placed on investigating the duality in the w.p. laws, alongside a thorough review and analysis of foundational findings concerning the geometry of w.p. spaces. Additionally, the research delves into the exploration of optimal w.p. constants for Lebesgue spaces. Through rigorous examination and synthesis of pertinent literature, this study aims to provide a comprehensive understanding of the theoretical underpinnings and practical implications of parallelogram laws and their application in Lebesgue spaces.


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How to Cite
Abdulrzaq, M., & Allatef, M. (2024). On Weak Parallelogram Constants for Lebesgue Spaces. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 5(2), 36-51. Retrieved from https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/616