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Integral inequalities of Hermite-Hadamard type for harmonically quasi-convex functions
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In the paper, by creating an integral identity and using Holder’s inequality,the authors establish some Hermite-Hadamard type integral inequalitiesfor harmonically quasi-convex functions and apply these inequalities to constructseveral inequalities for special means.
Abstract
In the paper, by creating an integral identity and using Holder’s inequality,the authors establish some Hermite-Hadamard type integral inequalitiesfor harmonically quasi-convex functions and apply these inequalities to constructseveral inequalities for special means.
참고문헌 (19)
- M. Alomari, "Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means", Comput. Math. Appl, 59(1), pp.225~232 (2010)[DOI]
- R.-F. Bai, "Hermite-Hadamard type inequalities for the m- and (α,m)- logarithmically convex functions", Filomat, 26(1), pp.7~ (2013)
- S.-P. Bai, "Some inequalities for (s1,m1)-(s2,m2)-convex functions on the coordinates", Glob. J. Math. Anal, 1(1), pp.22~28 (2013)
- S.-P. Bai, "Some Hermite-Hadamard type inequalities for n-time differentiable (α,m)-convex functions", J. Inequal. Appl, 267, pp.11~ (2012)[DOI]
- S. S. Dragomir, "Two mappings in connection to Hadamard’s inequalities", J. Math. Anal. Appl, 167(1), pp.49~56 (1992)[DOI]
- S. S. Dragomir, "Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula", Appl. Math. Lett, 11(5), pp.91~95 (1998)[DOI]
- S. S. Dragomir, "Some inequalities of Hadamard type", Soochow J. Math, 21(3), pp.335~341 (1995)
- D. A. Ion, "Some estimates on the Hermite-Hadamard inequality through quasi-convex functions", Ann. Univ. Craiova, Math. Comp. Sci. Ser, 34, pp.82~87 (2007)
- U. S. Kirmaci, "Inequalities for differentiable mappings and applications to special means of real numbers to midpoint formula", Appl. Math. Comp, 147(1), pp.137~146 (2004)[DOI]
- U. S. Kirmaci, "Hadamard-type inequalities for s-convex functions", Appl. Math. Comput, 193(1), pp.26~35 (2007)[DOI]
- C. E. M. Pearce, "Inequalities for differentiable mappings with application to special means and quadrature formulae", Appl. Math. Lett, 13(2), pp.51~55 (2000)[DOI]
- F. Qi, "Generalized abstracted mean values", J. Inequal. Pure Appl. Math, 1(1) (2000)[DOI]
- F. Qi, "Generalized weighted mean values with two parameters", R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci, 454(1978), pp.2723~2732 (1998)[DOI]
- F. Qi, "Generalizations and refinements of Hermite-Hadamard inequality", Rocky Mountain J. Math, 35(1), pp.235~251 (2005)[DOI]
- S.-H. Wang, "Some new inequalities of Hermite-Hadamard type for ntime differentiable functions which are m-convex", Analysis (Munich), 32(3), pp.247~262 (2012)[DOI]
- B.-Y. Xi, "Hermite-Hadamard type inequalities for the m- and (α,m)- geometrically convex functions", Aequationes Math, 184(3), pp.261~269 (2012)[DOI]
- B.-Y. Xi, "Some inequalities of Hermite-Hadamard type for h-convex functions", Adv. Inequal. Appl, 2(1), pp.1~15 (2013)
- B.-Y. Xi, "Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means", J. Funct. Spaces Appl, 2012, pp.14~ (2012)[DOI]
- T.-Y. Zhang, "Some inequalities of Hermite-Hadamard type for GA-convex functions with applications to means", Matematiche (Catania), 68(1), pp.229~239 (2013)[DOI]
관련 논문AI추천
Hermite-Hadamard-Fejer Type Inequalities for Harmonically Quasi-convex Functions via Fractional IntegralsImdat Iscan, Mehmet Kunt경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호Fractional integral inequalities of Hermite-Hadamard type for m-HH convex functions with applicationsHui Zhou, Imdat Iscan, Wen Wang장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호On harmonic (h,r)-convex functionsKhalida Inayat Noor, Muhammad Aslam Noor, SABAH IFTIKHAR장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호Hermite-Hadamard type inequalities for preinvex functions with applicationsH ̈useyin Budak, Pankaj Kumar, Shashi Kant Mishra, shiwani singh, vandana sigh강원경기수학회 · 한국수학논문집2025 · 제33권 제1호Some inequalities of Hermite-Hadamard type for geometrically p-convex functionsBo-Yan Xi, Feng Qi장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호Fractional integral inequalities for harmonic geometrically h-convex functionsKhalida Inayat Noor, Muhammad Aslam Noor, SABAH IFTIKHAR장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호
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