Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
Some inequalities of Hermite-Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
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| Vydáno v: | Proyecciones (Antofagasta) Ročník 34; číslo 4; s. 323 - 341 |
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| Jazyk: | angličtina portugalština španělština |
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Universidad Católica del Norte, Departamento de Matemáticas
17.04.2025
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| ISSN: | 0716-0917 |
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| Abstract | Some inequalities of Hermite-Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well. |
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| AbstractList | Some inequalities of Hermite-Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well. |
| Author | Dragomir, S. S. |
| AuthorAffiliation | Victoria University |
| AuthorAffiliation_xml | – name: Victoria University |
| Author_xml | – sequence: 1 givenname: S. S. surname: Dragomir fullname: Dragomir, S. S. organization: Victoria University |
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| Issue | 4 |
| Keywords | Integral inequalities Convex functions h-Convex functions |
| Language | English Portuguese Spanish |
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| References | Breckner 1978; 23 Radulescu, M.; Radulescu, S.; Alexandrescu, P. 2009; 12 Dragomir, S.S.; Fitzpatrick, S. 2000; 33 Maksa, G.; Pales, Z. 2011; 31 Barnett, N. S.; Cerone, P.; Dragomir, S. S.; Pinheiro, M. R.; Sofo, A. 2003; 2 Dragomir, S. S. 2002; 3 Anastassiou, G. A. 2002; 135 Bombardelli, M.; Varosanec, S. 2009; 58 Dragomir, S. S.; Wang, S. 1997; 28 Beckenbach, E. F. 1948; 54 Dragomir, S. S.; Wang, S. 1998; 40 Pecaric, J. E.; Dragomir, S. S. 1989 Dragomir, S. S. 2001; 4 Dragomir, S. S. 2001; 5 Mitrinovic, D. S.; Lackovic, I. B. 1985; 28 Pearce, C. E. M.; Rubinov, A. M. 1999; 240 Alomari, M.; Darus, M. 2008; 2 Dragomir, S. S. 2012 Alomari, M.; Darus, M. 2008; 3 Dragomir, S. S.; Mond, B.; 39 Dragomir, S. S.; Cerone, P.; Roumeliotis, J.; Wang, S. 1999; 42 Dragomir, S.S.; Fitzpatrick, S. 1999; 32 Sarikaya, M. Z.; Set, E.; Ozdemir, M. E. 2010; 79 Dragomir, S. S.; Pearce, C. E. M. 1998; 57 Kikianty, E.; Dragomir, S. S. Cerone, P.; Dragomir, S. S. 2002 Kirmaci, U. S.; Bakula, M. Klaricic; Ozdemir, M. E; Pecaric, J. 2007; 19 El Farissi, A. 2010; 4 Tunc, M. 2013; 326 Dragomir, S. S.; Rassias, Th. M. 2002 Set, E.; Ozdemir, M. E.; Sarikaya, M. Z. 2012; 27 Varosanec, S. 2007; 326 1995; 21 Pecaric, J.; Dragomir, S. S. 1991; 7 Latif, M. A. 2010; 4 Cerone, P.; Dragomir, S. S.; Roumeliotis, J. 1999; 32 Cristescu, G. 2010; 8 Dragomir, S. S. 2003; 16 Dragomir, S. S. 2000; 7 Dragomir, S. S.; Wang, S. 1998; 11 Dragomir, S. S. 1999; 38 Dragomir, S. S.; 3 Godunova, E. K.; Levin, V. I. 1985 Sarikaya, M. Z.; Saglam, A.; Yildirim, H. 2008; 2 Mitrinovic, D. S.; Pecaric, J. E. 1990; 12 Cerone, P.; Dragomir, S. S. Dragomir, S. S.; Pearce, C. E. M. 1996; 33 Hudzik, H.; Maligranda, L. 1994; 48 |
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