SOME INEQUALITIES FOR GEOMETRICALLY PREINVEX FUNCTIONS
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we introduce and investigate a new class of preinvex functions, which is called geometrically preinvex functions. Some new Hermite- Hadamard type inequalities are obtained. Results continue to hold for geomet- rically convex function, which can be obtained as special cases. The idea and technique of this paper may stimulate further research in this field.
Abstract
In this paper, we introduce and investigate a new class of preinvex functions, which is called geometrically preinvex functions. Some new Hermite- Hadamard type inequalities are obtained. Results continue to hold for geomet- rically convex function, which can be obtained as special cases. The idea and technique of this paper may stimulate further research in this field.
참고문헌 (20)
- S. S. Dragomir, "Two mappings in connection to Hadamard's inequalities", J.Math.Anal.Appl, 167, pp.42~56 (1998)
- S. S. Dragomir, "On some new inequalities of Hermite-Hadamard type for m-convex functions", Tamkang J. Math, 33, pp.45~55 (2002)
- S. S. Dragomir, "Some inequalities for m-convex functions", Studia Univ. Babes-Boyali Math, 33, pp.21~28 (1990)
- M. A. Hanson, "On su±ciency of Kuhn Tucker conditions", J. Math. Anal. Appl, 30, pp.545~550 (1981)
- A.P. Ji, "Integral Inequalities of Hermite-Hdamard Type for (®,m)GA-Convex Functions", Journal of Functions Spaces and Applications, 2013, pp.8~ (2013)
- M.A. Latif, "New Hermite-Hadamard type inequalities for GA-convex functions with aplications", Analysis, 34(4), pp.379~389 (2014)
- M.A. Latif, "New Hermite-Hadamard type inequalities", Stud. Univ. Babe,s-Bolyai Math, 58(3), pp.325~343 (2014)
- M.Matloka, "On some Hadamard-type inequalities for (h1; h2)-preinvex functions on the co-ordinates", J. Inequal. Appl., pp.222~227 (2013)
- M.Matloka, "Inequalities for h-preinvex functions", Appl. Math. comput, 234, pp.52~57 (2014)
- M. A. Noor, "Hermite-Hadamard integralinequalities for log-preinvex functions", J. Math. Anal. Approx. Theory, 2, pp.126~131 (2007)
- M. A. Noor, "On Hadamard integral inequalities involving two log-preinvex functions", J.Inequal. Pure Appl. Math, 8(3), pp.1~14 (2007)
- M. A. Noor, "Variational-like inequalities", Optimization, 30, pp.323~330 (1994)
- M. A. Noor, "Invex equilibriums", J. Math.Anal. Appl, 302, pp.463~475 (2005)
- C. P. Niculescu, "A Contemporary approach" (2004), Springer-Verlag
- M. Z. Ozdemir, "Some new Hadamard's type inequalities for coordi-nated m-convex and(®,m)-convex functions", Hacettepe J. Math, 40, pp.219~229 (2011)
- T. Weir, "Preinvex functions in multiple objective optimization", J. Math. Anal. Appl, 136, pp.29~38 (1988)
- Xi, B.-Y, "Some integral inequalities of Hermite-Hdamard type for convex functions with applications to means", J. Funct. Spaces Appl, 2012, pp.14~ (2012)
- Xi, B.-Y, "Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means", J. Funct. Spaces Appl, 2012, pp.14~ (2012)
- T.-Y. Zhang, "Some Hermite-Hadamard type inequalities for di®erentiable convex functions and applications", Hacettepe J. Math. Stat, 42(3) (2013)
- T.-Y.Zhang, "Some inequalities of Hermite-Hadamard type for GA-convex functions with applications to means", Le Matematiche, pp.229~239 (2013)
