Add to ORKGAbstract. We study the behavior of moduli of smoothness of splines s of order r with equally spaced knots fx i g, x i+1 x i = h. The main results are (1) For each 0 m < r, all quantities h
Polynomial B-splines of given order m and with knots of arbitrary multiplicity are investigated with...
AbstractRigorous arguments are given establishing convergence rates and asymptotic behavior of inter...
AbstractPolynomial B-splines of given order m and with knots of arbitrary multiplicity are investiga...
AbstractIn this paper we study relations between moduli of smoothness with the step-weight functionϕ...
AbstractIt is known that iff∈Wkp, thenωm(f,t)p⩽tωm−1(f′,t)p⩽…. Its inverse with any constants indepe...
AbstractThe present paper investigates polynomials for which the inverse inequality for moduli of sm...
AbstractIn this paper we study relations between moduli of smoothness with the step-weight functionϕ...
AbstractGiven a monotone or convex function on a finite interval we construct splines of arbitrarily...
AbstractSchweikert (J. Math. Phys.45(1966), 312–317) showed that for sufficiently high tensions an e...
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...
AbstractLet A = (aij)l,r−1i = 1, j = 0 and B = (bij) m,r−1i = 1,j = 0 be matrices of ranks l and m, ...
AbstractCommutator properties are established for periodic splines with distinct uniformly spaced kn...
AbstractLet Δ be a partition of [0, 1], m be an integer greater than two, and S be the set of spline...
AbstractThis paper establishes properties of discrete orthogonal projections on periodic spline spac...
In this paper we study B-splines when the intervals between consecutive knots are in geometric progr...
Polynomial B-splines of given order m and with knots of arbitrary multiplicity are investigated with...
AbstractRigorous arguments are given establishing convergence rates and asymptotic behavior of inter...
AbstractPolynomial B-splines of given order m and with knots of arbitrary multiplicity are investiga...
AbstractIn this paper we study relations between moduli of smoothness with the step-weight functionϕ...
AbstractIt is known that iff∈Wkp, thenωm(f,t)p⩽tωm−1(f′,t)p⩽…. Its inverse with any constants indepe...
AbstractThe present paper investigates polynomials for which the inverse inequality for moduli of sm...
AbstractIn this paper we study relations between moduli of smoothness with the step-weight functionϕ...
AbstractGiven a monotone or convex function on a finite interval we construct splines of arbitrarily...
AbstractSchweikert (J. Math. Phys.45(1966), 312–317) showed that for sufficiently high tensions an e...
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...
AbstractLet A = (aij)l,r−1i = 1, j = 0 and B = (bij) m,r−1i = 1,j = 0 be matrices of ranks l and m, ...
AbstractCommutator properties are established for periodic splines with distinct uniformly spaced kn...
AbstractLet Δ be a partition of [0, 1], m be an integer greater than two, and S be the set of spline...
AbstractThis paper establishes properties of discrete orthogonal projections on periodic spline spac...
In this paper we study B-splines when the intervals between consecutive knots are in geometric progr...
Polynomial B-splines of given order m and with knots of arbitrary multiplicity are investigated with...
AbstractRigorous arguments are given establishing convergence rates and asymptotic behavior of inter...
AbstractPolynomial B-splines of given order m and with knots of arbitrary multiplicity are investiga...