An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltjes integral. This enables bounds to be procured when the integrand is of bounded variation, Lipschitzian and monotonic. If f is absolutely continuous, bounds are also obtained for f Lp[a, b], 1 ≤ p < ∞, the usual Lebesgue norms. This supplements earlier results involving f′ L∞ [a, b]
The purpose of this note is to consider the following problem. Suppose [a,b] is an interval, f a fun...
A Grüss type inequality for Lipschitzian mappings and functions of bounded variation is given. Appli...
In this article, the definitions and basic properties of Riemann-Stieltjes integral are formalized i...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
AbstractAn identity for the difference between two integral means is obtained in terms of a Riemann-...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stielt...
New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stielt...
In this paper we derive a new inequality of Grüss' type for Riemann-Stieltjes integral and apply it ...
Error bounds in approximating the Riemann-Stieltjes integral in terms of some moments\ud of the inte...
Estimates of the difference of two integral means on [a,b], [c,d] with [c,d] &unknown; [a,b] in term...
Error bounds in approximating the Riemann-Stieltjes integral in terms of some moments of the integr...
AbstractEstimates of the difference of two integral means on [a,b], [c,d] with [c,d] ⊂ [a,b] in term...
Lower and upper bounds of the Čebyšev functional for the Riemann-\ud Stieltjes integral, in the mono...
The purpose of this note is to consider the following problem. Suppose [a,b] is an interval, f a fun...
A Grüss type inequality for Lipschitzian mappings and functions of bounded variation is given. Appli...
In this article, the definitions and basic properties of Riemann-Stieltjes integral are formalized i...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
AbstractAn identity for the difference between two integral means is obtained in terms of a Riemann-...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stielt...
New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stielt...
In this paper we derive a new inequality of Grüss' type for Riemann-Stieltjes integral and apply it ...
Error bounds in approximating the Riemann-Stieltjes integral in terms of some moments\ud of the inte...
Estimates of the difference of two integral means on [a,b], [c,d] with [c,d] &unknown; [a,b] in term...
Error bounds in approximating the Riemann-Stieltjes integral in terms of some moments of the integr...
AbstractEstimates of the difference of two integral means on [a,b], [c,d] with [c,d] ⊂ [a,b] in term...
Lower and upper bounds of the Čebyšev functional for the Riemann-\ud Stieltjes integral, in the mono...
The purpose of this note is to consider the following problem. Suppose [a,b] is an interval, f a fun...
A Grüss type inequality for Lipschitzian mappings and functions of bounded variation is given. Appli...
In this article, the definitions and basic properties of Riemann-Stieltjes integral are formalized i...