In this paper we present sharp estimates for the difference of general integral means with respect to even different finite measures. This is achieved by the use of the Ostrowski and Fink inequalities and the Geometric Moment Theory Method. The produced inequalities are with respect to the supnorm of a derivative of the involved function. © 2006 Victoria University. All rights reserved
In this paper we establish a new inequality of Ostrowski type for functions with bounded derivatives...
AbstractWe introduce a bound M of f, ‖f‖∞⩽M⩽2‖f‖∞, which allows us to give for 0⩽p<∞ sharp upper bou...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
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Using a new mean value Theorem for the remainder in Taylor’s formula, some estimates of difference a...
Estimates of the difference of two integral means on [a,b], [c,d] with [c,d] &unknown; [a,b] in term...
AbstractEstimates of the difference of two integral means on [a,b], [c,d] with [c,d] ⊂ [a,b] in term...
Abstract. The Ostrowski inequality expresses bounds on the deviation of a function from its integral...
Abstract. A new extension of the weighted Montgomery identity is given, by using Taylor’s formula, a...
Abstract. A new extension of the weighted Montgomery identity is given, by using Taylor’s formula an...
In this paper we have considered a difference of Jensen’s inequality for convex functions and prove...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The...
Abstract This paper deals with some new theorems and inequalities about a Fejér type integral inequa...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
In this paper we establish a new inequality of Ostrowski type for functions with bounded derivatives...
AbstractWe introduce a bound M of f, ‖f‖∞⩽M⩽2‖f‖∞, which allows us to give for 0⩽p<∞ sharp upper bou...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
Some better estimates for the difference between the integral mean of a function and its mean over a...
Using a new mean value Theorem for the remainder in Taylor’s formula, some estimates of difference a...
Estimates of the difference of two integral means on [a,b], [c,d] with [c,d] &unknown; [a,b] in term...
AbstractEstimates of the difference of two integral means on [a,b], [c,d] with [c,d] ⊂ [a,b] in term...
Abstract. The Ostrowski inequality expresses bounds on the deviation of a function from its integral...
Abstract. A new extension of the weighted Montgomery identity is given, by using Taylor’s formula, a...
Abstract. A new extension of the weighted Montgomery identity is given, by using Taylor’s formula an...
In this paper we have considered a difference of Jensen’s inequality for convex functions and prove...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The...
Abstract This paper deals with some new theorems and inequalities about a Fejér type integral inequa...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
In this paper we establish a new inequality of Ostrowski type for functions with bounded derivatives...
AbstractWe introduce a bound M of f, ‖f‖∞⩽M⩽2‖f‖∞, which allows us to give for 0⩽p<∞ sharp upper bou...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...