Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals
We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples. By virtue of established results we also define some related functionals and investigate their properties regarding expo...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/123913 |
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| _version_ | 1832545854035066880 |
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| author | Saad Ihsan Butt Mario Krnić Josip Pečarić |
| author_facet | Saad Ihsan Butt Mario Krnić Josip Pečarić |
| author_sort | Saad Ihsan Butt |
| collection | DOAJ |
| description | We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings. |
| format | Article |
| id | doaj-art-6037254a4fcc4954925a98aa27984b0a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6037254a4fcc4954925a98aa27984b0a2025-02-03T07:24:30ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/123913123913Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type FunctionalsSaad Ihsan Butt0Mario Krnić1Josip Pečarić2Abdus Salam School of Mathematical Sciences, GC University, Lahore, PakistanFaculty of Electrical Engineering and Computing, University of Zagreb, Zagreb 10000, CroatiaFaculty of Textile Technology, University of Zagreb, Zagreb 10000, CroatiaWe consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings.http://dx.doi.org/10.1155/2012/123913 |
| spellingShingle | Saad Ihsan Butt Mario Krnić Josip Pečarić Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals Abstract and Applied Analysis |
| title | Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals |
| title_full | Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals |
| title_fullStr | Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals |
| title_full_unstemmed | Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals |
| title_short | Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals |
| title_sort | superadditivity monotonicity and exponential convexity of the petrovic type functionals |
| url | http://dx.doi.org/10.1155/2012/123913 |
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