In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class
Let T denote the interval [-π, π]. In this work we investigate the inequality of Ul'yanov type for m...
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....
In this paper, we discuss various basic properties of moduli of smoothness of functions from Lp(Rd),...
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...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
We obtain a characterization of modulus of smoothnes of fractional order in the Lebesgue spaces \(L_...
Proceedings, pp. 687—694 The connection between structural and constructive characterization of a fu...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
AbstractThe present paper investigates polynomials for which the inverse inequality for moduli of sm...
none2We study a modulus, connected with smoothness of Banach spaces, already considered in the liter...
[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Ban...
[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Ban...
AbstractIn this paper we obtain the following sharp (p,q) inequalities for moduli of smoothness of f...
Let T denote the interval [-π, π]. In this work we investigate the inequality of Ul'yanov type for m...
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....
In this paper, we discuss various basic properties of moduli of smoothness of functions from Lp(Rd),...
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...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
We obtain a characterization of modulus of smoothnes of fractional order in the Lebesgue spaces \(L_...
Proceedings, pp. 687—694 The connection between structural and constructive characterization of a fu...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
AbstractThe present paper investigates polynomials for which the inverse inequality for moduli of sm...
none2We study a modulus, connected with smoothness of Banach spaces, already considered in the liter...
[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Ban...
[EN] We study the possible equivalence classes of the moduli of smoothness of finite-dimensional Ban...
AbstractIn this paper we obtain the following sharp (p,q) inequalities for moduli of smoothness of f...
Let T denote the interval [-π, π]. In this work we investigate the inequality of Ul'yanov type for m...
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....