Add to ORKG[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Banach spaces. We show that these can be arbitrary subject to Figiel condition and, moreover, they can be realised via Orlicz spaces. Some dimension dependencies are also studied. As an application we answer in negative an open question concerning the modulus of squareness.Partially supported by MICINN MTM 2008-05396. Partially supported by MM-1401; and by Grant 105/2008 NIS, Sofia University. Partially supported by MICINN MTM 2008-05396; and by JCCM PCI-08-0023.Guirao Sánchez, AJ.; Ivanov, M.; Lajara, S. (2010). On the moduli of smoothness and squareness. Journal of Convex Analysis. 17(2):441-449. http://hdl.handle.net/10251/7933444144917
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left l...
In this paper, we discuss various basic properties of moduli of smoothness of functions from Lp(Rd),...
In this work the estimate about modulus of smoothness of the derivatives of the functions is obtaine...
[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Ban...
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...
Banaś defined a modulus for Banach spaces which has appeared in the literature, but not studied in d...
Bana\u15b defined a modulus for Banach spaces which has appeared in the literature, but not studied ...
We provide an example to show that the moduli of convexity δ E and β E are different. Our...
Abstract. We introduce the notions of pointwise modulus of squareness and local modulus of squarenes...
summary:Using some moduli of convexity and smoothness we introduce a function which allows us to mea...
We provide some properties of both moduli of convexity δ and β and derive some applications of the m...
AbstractRecently, the Banaś modulus of smoothness for the Bynum space b2,∞ was obtained by Zuo and C...
In this paper we consider the properties of moduli of smoothness of fractional order. The main resul...
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left l...
In this paper, we discuss various basic properties of moduli of smoothness of functions from Lp(Rd),...
In this work the estimate about modulus of smoothness of the derivatives of the functions is obtaine...
[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Ban...
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...
Banaś defined a modulus for Banach spaces which has appeared in the literature, but not studied in d...
Bana\u15b defined a modulus for Banach spaces which has appeared in the literature, but not studied ...
We provide an example to show that the moduli of convexity δ E and β E are different. Our...
Abstract. We introduce the notions of pointwise modulus of squareness and local modulus of squarenes...
summary:Using some moduli of convexity and smoothness we introduce a function which allows us to mea...
We provide some properties of both moduli of convexity δ and β and derive some applications of the m...
AbstractRecently, the Banaś modulus of smoothness for the Bynum space b2,∞ was obtained by Zuo and C...
In this paper we consider the properties of moduli of smoothness of fractional order. The main resul...
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left l...
In this paper, we discuss various basic properties of moduli of smoothness of functions from Lp(Rd),...
In this work the estimate about modulus of smoothness of the derivatives of the functions is obtaine...