We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values concerning these modulus for some classical Banach spaces are determined. Some applications in geometry of Banach spaces are also obtained. Copyright © 2007 Fenghui Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1
We provide an example to show that the moduli of convexity δ E and β E are different. Our...
We shall discuss three generalized moduli such as generalized modulus of convexity, modulus of smoot...
[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Ban...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values conce...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values concer...
Abstract We introduce a new coefficient as a generalization of the modulus of smoothness and Pythago...
Banaś defined a modulus for Banach spaces which has appeared in the literature, but not studied in d...
Two new moduli are introduced to study the ratios of arc lengths to chord lengths in Banach spaces. ...
We provide some properties of both moduli of convexity δ and β and derive some applications of the m...
Bana\u15b defined a modulus for Banach spaces which has appeared in the literature, but not studied ...
We study a modulus, connected with smoothness of Banach spaces, already considered in the literature...
We study a modulus, connected with smoothness of Banach spaces, already considered in the literature...
none2We study a modulus, connected with smoothness of Banach spaces, already considered in the liter...
We present two sufficient conditions for normal structure in a Banach space. The first one is given ...
In this article we discuss moduli and constants of quasi-Banach space and give some important proper...
We provide an example to show that the moduli of convexity δ E and β E are different. Our...
We shall discuss three generalized moduli such as generalized modulus of convexity, modulus of smoot...
[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Ban...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values conce...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values concer...
Abstract We introduce a new coefficient as a generalization of the modulus of smoothness and Pythago...
Banaś defined a modulus for Banach spaces which has appeared in the literature, but not studied in d...
Two new moduli are introduced to study the ratios of arc lengths to chord lengths in Banach spaces. ...
We provide some properties of both moduli of convexity δ and β and derive some applications of the m...
Bana\u15b defined a modulus for Banach spaces which has appeared in the literature, but not studied ...
We study a modulus, connected with smoothness of Banach spaces, already considered in the literature...
We study a modulus, connected with smoothness of Banach spaces, already considered in the literature...
none2We study a modulus, connected with smoothness of Banach spaces, already considered in the liter...
We present two sufficient conditions for normal structure in a Banach space. The first one is given ...
In this article we discuss moduli and constants of quasi-Banach space and give some important proper...
We provide an example to show that the moduli of convexity δ E and β E are different. Our...
We shall discuss three generalized moduli such as generalized modulus of convexity, modulus of smoot...
[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Ban...