Add to ORKGLet T denote the interval [-π, π]. In this work we investigate the inequality of Ul'yanov type for moduli of smoothness of an integer order in the Lp (T), p ≥ 1 spaces. In particular, we study (p, q) inequalities for moduli of smoothness of a derivative of a function via the modulus of smoothness of the function itself
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...
In this work the estimate about modulus of smoothness of the derivatives of the functions is obtaine...
In this paper, we discuss various basic properties of moduli of smoothness of functions from Lp(Rd),...
AbstractIn this paper we obtain the following sharp (p,q) inequalities for moduli of smoothness of f...
In this paper we obtain some limit cases of inequalities of Ul'yanov-type for modulus of smoothness ...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
AbstractUl’yanov-type inequalities are extended to include many measures of smoothness. Many of the ...
AbstractFor Ω∈Rd, a convex bounded set with non-empty interior, the moduli of smoothness ωr(f,t)Lq(Ω...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
In this paper we consider the properties of moduli of smoothness of fractional order. The main resul...
We establish inequalities of Ulyanov-type for moduli of smoothness relating the source Lorentz-Zygmu...
AbstractWe prove two-sided inequalities between the integral moduli of smoothness of a function on R...
We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[super...
AbstractWe prove direct and inverse theorems for the classical modulus of smoothness and approximati...
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...
In this work the estimate about modulus of smoothness of the derivatives of the functions is obtaine...
In this paper, we discuss various basic properties of moduli of smoothness of functions from Lp(Rd),...
AbstractIn this paper we obtain the following sharp (p,q) inequalities for moduli of smoothness of f...
In this paper we obtain some limit cases of inequalities of Ul'yanov-type for modulus of smoothness ...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
AbstractUl’yanov-type inequalities are extended to include many measures of smoothness. Many of the ...
AbstractFor Ω∈Rd, a convex bounded set with non-empty interior, the moduli of smoothness ωr(f,t)Lq(Ω...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
In this paper we consider the properties of moduli of smoothness of fractional order. The main resul...
We establish inequalities of Ulyanov-type for moduli of smoothness relating the source Lorentz-Zygmu...
AbstractWe prove two-sided inequalities between the integral moduli of smoothness of a function on R...
We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[super...
AbstractWe prove direct and inverse theorems for the classical modulus of smoothness and approximati...
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...
In this work the estimate about modulus of smoothness of the derivatives of the functions is obtaine...