DOIAbstract
AbstractThe present paper investigates polynomials for which the inverse inequality for moduli of smoothness holds. The technique for approach is different from the previous works for splines and is elegantly organized
AbstractThe present paper investigates polynomials for which the inverse inequality for moduli of smoothness holds. The technique for approach is different from the previous works for splines and is elegantly organized
AbstractThis note describes several properties related to smoothness which are preserved by the oper...
Abstract. We study the behavior of moduli of smoothness of splines s of order r with equally spaced ...
AbstractThe author introduced in an earlier paper a modulus of smoothness for nonperiodic functions ...
AbstractThe present paper investigates polynomials for which the inverse inequality for moduli of sm...
AbstractIt is shown that, if n,r∈N, k∈N0, 1⩽ν⩽r, tn≔cos(n-i)πni=0n is the Chebyshev partition of [-1...
AbstractWe prove direct and inverse theorems for the classical modulus of smoothness and approximati...
AbstractIt is known that iff∈Wkp, thenωm(f,t)p⩽tωm−1(f′,t)p⩽…. Its inverse with any constants indepe...
AbstractWe prove direct and inverse theorems for the classical modulus of smoothness and approximati...
In this paper, we discuss various basic properties of moduli of smoothness of functions from Lp(Rd),...
AbstractIn this paper we study relations between moduli of smoothness with the step-weight functionϕ...
AbstractA new modulus of smoothness based on the Euler angles is introduced on the unit sphere and i...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
The paper presents a sharp Jackson inequality and a corresponding inverse one for best trigonometric...
In this paper we consider the properties of moduli of smoothness of fractional order. The main resul...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
AbstractThis note describes several properties related to smoothness which are preserved by the oper...
Abstract. We study the behavior of moduli of smoothness of splines s of order r with equally spaced ...
AbstractThe author introduced in an earlier paper a modulus of smoothness for nonperiodic functions ...
AbstractThe present paper investigates polynomials for which the inverse inequality for moduli of sm...
AbstractIt is shown that, if n,r∈N, k∈N0, 1⩽ν⩽r, tn≔cos(n-i)πni=0n is the Chebyshev partition of [-1...
AbstractWe prove direct and inverse theorems for the classical modulus of smoothness and approximati...
AbstractIt is known that iff∈Wkp, thenωm(f,t)p⩽tωm−1(f′,t)p⩽…. Its inverse with any constants indepe...
AbstractWe prove direct and inverse theorems for the classical modulus of smoothness and approximati...
In this paper, we discuss various basic properties of moduli of smoothness of functions from Lp(Rd),...
AbstractIn this paper we study relations between moduli of smoothness with the step-weight functionϕ...
AbstractA new modulus of smoothness based on the Euler angles is introduced on the unit sphere and i...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
The paper presents a sharp Jackson inequality and a corresponding inverse one for best trigonometric...
In this paper we consider the properties of moduli of smoothness of fractional order. The main resul...
AbstractWe prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced...
AbstractThis note describes several properties related to smoothness which are preserved by the oper...
Abstract. We study the behavior of moduli of smoothness of splines s of order r with equally spaced ...
AbstractThe author introduced in an earlier paper a modulus of smoothness for nonperiodic functions ...
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