We present a new quadrature rule based on the spline interpolation along with the error analysis. Moreover, some error estimates for the reminder when the integrand is either a Lipschitzian function, a function of bounded variation or a function whose derivative belongs to Lp are given. We also give some examples to show that, practically, the spline rule is better than the trapezoidal rule
AbstractWe obtain explicit error estimates between a given function f ϵ C(n)[a, b], 2 ⩽ n ⩽ 6 and it...
AbstractQuadratic splines are generated which interpolate a function and its derivative at points mi...
AbstractIn this paper, we use quartic B-spline to construct an approximating function to agree with ...
AbstractIn this paper the quadratic spline interpolation with coinciding interpolation and spline gr...
In carrying out continuous spline interpolation of a function,derivatives of the function at some po...
AbstractIn this paper we shall develop a class of discrete spline interpolates in one and two indepe...
AbstractFour types of quadratic spline interpolants are considered for which we obtain error bounds ...
International audienceIn this paper, we present a class of quadrature rules with endpoint correction...
AbstractThis paper presents a formulation of a quadratic spline with periodic derivative that fits t...
AbstractIn this paper, we shall derive explicit error estimates in L∞ norm between a given function ...
In this article we present a new approach to quadrature methods where any quadrature formula is gene...
In the case of uniform grids, the error of the spline interpolant of a function defined on R has bee...
In this thesis, we study properties of cubic and quadratic spline interpolation. First, we define th...
AbstractAny quadratic spline with coinciding interpolating points and breakpoints can be uniquely de...
In this paper quadratic and quartic B-splines were used for reconstruction of an approximating funct...
AbstractWe obtain explicit error estimates between a given function f ϵ C(n)[a, b], 2 ⩽ n ⩽ 6 and it...
AbstractQuadratic splines are generated which interpolate a function and its derivative at points mi...
AbstractIn this paper, we use quartic B-spline to construct an approximating function to agree with ...
AbstractIn this paper the quadratic spline interpolation with coinciding interpolation and spline gr...
In carrying out continuous spline interpolation of a function,derivatives of the function at some po...
AbstractIn this paper we shall develop a class of discrete spline interpolates in one and two indepe...
AbstractFour types of quadratic spline interpolants are considered for which we obtain error bounds ...
International audienceIn this paper, we present a class of quadrature rules with endpoint correction...
AbstractThis paper presents a formulation of a quadratic spline with periodic derivative that fits t...
AbstractIn this paper, we shall derive explicit error estimates in L∞ norm between a given function ...
In this article we present a new approach to quadrature methods where any quadrature formula is gene...
In the case of uniform grids, the error of the spline interpolant of a function defined on R has bee...
In this thesis, we study properties of cubic and quadratic spline interpolation. First, we define th...
AbstractAny quadratic spline with coinciding interpolating points and breakpoints can be uniquely de...
In this paper quadratic and quartic B-splines were used for reconstruction of an approximating funct...
AbstractWe obtain explicit error estimates between a given function f ϵ C(n)[a, b], 2 ⩽ n ⩽ 6 and it...
AbstractQuadratic splines are generated which interpolate a function and its derivative at points mi...
AbstractIn this paper, we use quartic B-spline to construct an approximating function to agree with ...
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