Some integral inequalities for harmonic h-convex functions involving hypergeometric functions
The aim of this paper is to establish some new Hermite–Hadamard type inequalities for harmonic h-convex functions involving hypergeometric functions. We also discuss some new and known special cases, which can be deduced from our results. The ideas and techniques of this paper may inspire further re...
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| Vydané v: | Applied mathematics and computation Ročník 252; s. 257 - 262 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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01.02.2015
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| Abstract | The aim of this paper is to establish some new Hermite–Hadamard type inequalities for harmonic h-convex functions involving hypergeometric functions. We also discuss some new and known special cases, which can be deduced from our results. The ideas and techniques of this paper may inspire further research in this field. |
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| AbstractList | The aim of this paper is to establish some new Hermite-Hadamard type inequalities for harmonic h-convex functions involving hypergeometric functions. We also discuss some new and known special cases, which can be deduced from our results. The ideas and techniques of this paper may inspire further research in this field. |
| Author | Mihai, Marcela V. Awan, Muhammad Uzair Noor, Muhammad Aslam Noor, Khalida Inayat |
| Author_xml | – sequence: 1 givenname: Marcela V. surname: Mihai fullname: Mihai, Marcela V. email: marcelamihai58@yahoo.com organization: Department of Mathematics, University of Craiova, Street A. I. Cuza 13, Craiova RO-200585, Romania – sequence: 2 givenname: Muhammad Aslam surname: Noor fullname: Noor, Muhammad Aslam email: noormaslam@gmail.com organization: Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan – sequence: 3 givenname: Khalida Inayat surname: Noor fullname: Noor, Khalida Inayat email: khalidanoor@hotmail.com organization: Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan – sequence: 4 givenname: Muhammad Uzair surname: Awan fullname: Awan, Muhammad Uzair email: awan.uzair@gmail.com organization: Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan |
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| Cites_doi | 10.5556/j.tkjm.45.2014.1365 10.1080/17476933.2014.976814 10.12785/amis/080623 10.1155/2014/346305 10.12785/amis/090129 10.1155/2014/279158 10.12988/ijma.2014.45136 10.1016/j.jmaa.2006.02.086 10.2298/FIL1504807N |
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| Keywords | Hypergeometric functions Hermite–Hadamard’s inequalities Convex Harmonic h-convex functions |
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| References | Noor, Cristescu, Awan (b0065) 2015 Dragomir, Pecaric, Persson (b0020) 1995; 21 Breckner (b0005) 1978; 23 Khattri (b0035) 2010; 117 Noor, Noor, Awan (b0070) 2015; 9 Varošanec (b0095) 2007; 326 Noor, Noor, Awan, Costache (b0080) 2015 M.V. Mihai, F.C. Mitroi, Hermite–Hadamard type inequalities obtained via Riemann-Liouville fractional calculus, Acta Math. Univ. Comenianae, Slovakia, Vol. LXXXIII, 2 (2104) 209–215. Chen, Wu (b0025) 2014; 2014 Park (b0090) 2014; 8 Işcan (b0045) 2014; 2014 Noor, Noor, Awan (b0075) 2014 Dragomir (b0015) 2013; 16 Mihai (b0060) 2014; 45 Noor, Noor, Awan, Khan (b0085) 2014; 8 Kilbas, Srivastava, Trujillo (b0040) 2006 Cristescu, Lupsa (b0010) 2002 Mihai (b0050) 2013; 127–132 Godunova, Levin (b0030) 1985 Noor (10.1016/j.amc.2014.12.018_b0085) 2014; 8 Kilbas (10.1016/j.amc.2014.12.018_b0040) 2006 Mihai (10.1016/j.amc.2014.12.018_b0060) 2014; 45 Cristescu (10.1016/j.amc.2014.12.018_b0010) 2002 Varošanec (10.1016/j.amc.2014.12.018_b0095) 2007; 326 Noor (10.1016/j.amc.2014.12.018_b0080) 2015 Park (10.1016/j.amc.2014.12.018_b0090) 2014; 8 Dragomir (10.1016/j.amc.2014.12.018_b0015) 2013; 16 Işcan (10.1016/j.amc.2014.12.018_b0045) 2014; 2014 Chen (10.1016/j.amc.2014.12.018_b0025) 2014; 2014 Breckner (10.1016/j.amc.2014.12.018_b0005) 1978; 23 Khattri (10.1016/j.amc.2014.12.018_b0035) 2010; 117 Noor (10.1016/j.amc.2014.12.018_b0065) 2015 Noor (10.1016/j.amc.2014.12.018_b0075) 2014 Godunova (10.1016/j.amc.2014.12.018_b0030) 1985 Noor (10.1016/j.amc.2014.12.018_b0070) 2015; 9 10.1016/j.amc.2014.12.018_b0055 Dragomir (10.1016/j.amc.2014.12.018_b0020) 1995; 21 Mihai (10.1016/j.amc.2014.12.018_b0050) 2013; 127–132 |
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| SubjectTerms | Computation Convex Harmonic h-convex functions Harmonics Hermite–Hadamard’s inequalities Hypergeometric functions Inequalities Integrals Mathematical analysis Mathematical models |
| Title | Some integral inequalities for harmonic h-convex functions involving hypergeometric functions |
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