Photo from archive.org
A new constant WD(X)$\mathit{WD}(X)$ is introduced into any real 2n$2^{n}$-dimensional symmetric normed space X. By virtue of this constant, an upper bound of the geometric constant D(X)$D(X)$, which is used to… Click to show full abstract
A new constant WD(X)$\mathit{WD}(X)$ is introduced into any real 2n$2^{n}$-dimensional symmetric normed space X. By virtue of this constant, an upper bound of the geometric constant D(X)$D(X)$, which is used to measure the difference between Birkhoff orthogonality and isosceles orthogonality, is obtained and further extended to an arbitrary m-dimensional symmetric normed linear space (m≥2$m\geq2$). As an application, the result is used to prove a special case for the reverse Hölder inequality.
Keywords:
bound geometric;
new upper;
upper bound;
geometric constant
Journal Title: Journal of Inequalities and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Inequalities and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!