In this paper several new error bounds for the Mercer - Trapezoid quadrature rule for the Riemann-Stieltjes integral under various assumptions are proved. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well
summary:Some Ostrowski’s type inequalities for the Riemann-Stieltjes integral $\int _{a}^{b}f\left(...
In the present paper, the notion of generalized (;,,)−preinvex function is applied to establish some...
The article investigates trapezoid type rules and obtains explicit bounds through the use of a Peano...
AbstractWe obtain Midpoint and Trapezoid Rules for the Riemann–Stieltjes integral which engender a n...
AbstractWe consider a family of two-point quadrature formulae and establish sharp estimates for the ...
AbstractThe paper deals with the approximation of integrals ∫Rfwβ, where wβ is a Markov–Sonin weight...
AbstractIn this paper we derive some Grüss and Ostrowski–Grüss type inequalities for functions in Lp...
In this paper first we define a new functional which is a weighted version of the functional defined...
Abstract. In this paper we provide sharp error bounds in approximating the weighted Riemann-Stieltje...
In this paper, we establish some new discrete inequalities of Opial and Lasota's type which reduce t...
We consider integral error representation related to the Hermite interpolating polynomial and derive...
Consider the evaluation of If:=^^f201f(x) dx . Among all the quadrature rules for the appr...
AbstractError estimate plays an important role for numerical integration. Some Ostrowski-like type i...
AbstractIn this paper the authors study “truncated” quadrature rules based on the zeros of Generaliz...
A new sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral is obtained. Appli-...
summary:Some Ostrowski’s type inequalities for the Riemann-Stieltjes integral $\int _{a}^{b}f\left(...
In the present paper, the notion of generalized (;,,)−preinvex function is applied to establish some...
The article investigates trapezoid type rules and obtains explicit bounds through the use of a Peano...
AbstractWe obtain Midpoint and Trapezoid Rules for the Riemann–Stieltjes integral which engender a n...
AbstractWe consider a family of two-point quadrature formulae and establish sharp estimates for the ...
AbstractThe paper deals with the approximation of integrals ∫Rfwβ, where wβ is a Markov–Sonin weight...
AbstractIn this paper we derive some Grüss and Ostrowski–Grüss type inequalities for functions in Lp...
In this paper first we define a new functional which is a weighted version of the functional defined...
Abstract. In this paper we provide sharp error bounds in approximating the weighted Riemann-Stieltje...
In this paper, we establish some new discrete inequalities of Opial and Lasota's type which reduce t...
We consider integral error representation related to the Hermite interpolating polynomial and derive...
Consider the evaluation of If:=^^f201f(x) dx . Among all the quadrature rules for the appr...
AbstractError estimate plays an important role for numerical integration. Some Ostrowski-like type i...
AbstractIn this paper the authors study “truncated” quadrature rules based on the zeros of Generaliz...
A new sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral is obtained. Appli-...
summary:Some Ostrowski’s type inequalities for the Riemann-Stieltjes integral $\int _{a}^{b}f\left(...
In the present paper, the notion of generalized (;,,)−preinvex function is applied to establish some...
The article investigates trapezoid type rules and obtains explicit bounds through the use of a Peano...