| Title |
New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity
|
|---|---|
| Published in |
Journal of Inequalities and Applications, May 2017
|
| DOI | 10.1186/s13660-017-1379-y |
| Pubmed ID | |
| Authors |
Nasir Mehmood, Ravi P Agarwal, Saad Ihsan Butt, Josip Pečarić |
| Abstract |
The inequality of Popoviciu, which was improved by Vasić and Stanković (Math. Balk. 6:281-288, 1976), is generalized by using new identities involving new Green's functions. New generalizations of an improved Popoviciu inequality are obtained by using generalized Montgomery identity along with new Green's functions. As an application, we formulate the monotonicity of linear functionals constructed from the generalized identities, utilizing the recent theory of inequalities for n-convex functions at a point. New upper bounds of Grüss and Ostrowski type are also computed. |
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 1 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 5 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 5 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Researcher | 2 | 40% |
| Student > Ph. D. Student | 1 | 20% |
| Professor > Associate Professor | 1 | 20% |
| Student > Doctoral Student | 1 | 20% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 3 | 60% |
| Unknown | 2 | 40% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 12 May 2017.
All research outputs
#17,289,387
of 25,382,440 outputs
Outputs from Journal of Inequalities and Applications
#59
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#207,483
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Outputs of similar age from Journal of Inequalities and Applications
#4
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