An inequality between the James type constant and the modulus of smoothness

作者：Yang, Changsen^*

来源：Journal of Mathematical Analysis and Applications, 2013, 398(2): 622-629.

DOI：10.1016/j.jmaa.2012.07.063

• James type constant
• Modulus of smoothness
• Modulus of convexity

Recently, Takahashi has introduced the James type constant. In this study, we have presented an inequality between the James type constant and modulus of smoothness, and shown that the equalities in the inequality can hold for some concrete spaces. In particular, for any tau >= 0, we have calculated the exact values of the James type constant, J(x.t) (tau) of I-infinity - I-p, for 1 <= t <= p and p >= 2.

• 出版日期2013-2-15
• 单位河南师范大学