Bounds for the weighted Dragomir–Fedotov functional-Reference-Cited by-同舟云学术

Bounds for the weighted Dragomir–Fedotov functional

Published:2016-12-01 Issue:2 Volume:2 Page:65-78
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Alomari Mohammad W.¹

Affiliation:

1. Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, 2600 Irbid 21110, Jordan

Abstract

Abstract In literature the Dragomir-Fedotov functional is well known as

In this work a generalization of D (f; u) is established. Namely, we define the weighted Dragomir- Fedotov functional such as:

and hence several bounds are proved.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference18 articles.

1. [1] M.W. Alomari, Difference between two Stieltjes integral means, Kragujevac Journal of Mathemat- ics, 38(1) (2014), 35-49.

2. [2] M.W. Alomari, New Grüss type inequalities for double integrals, Appl. Math. Comp., 228 (2014) 102-107.

3. [3] M.W. Alomari and S.S. Dragomir, New Grüss type inequalities for Riemann-Stieltjes integral with monotonic integrators and applications, Ann. Funct. Anal., 5 (2014), no. 1, 77-93.

4. [4] M.W. Alomari and S.S. Dragomir, Mercer-Trapezoid rule for Riemann-Stieltjes integral with applications, Journal of Advances in Mathematics, 2 (2) (2013), 67-85.

5. [5] N.S. Barnett, S.S. Dragomir and I. Gomma, A companion for the Ostrowski and the generalised trapezoid inequalities, Mathematical and Computer Modelling, 50 (2009), 179-187.

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