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On Generalizations of the Hadamard Inequality for (α,m)-Convex Functions
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In this paper we establish several Hadamard-type integral inequalities for (α,m)−convex functions.
Abstract
In this paper we establish several Hadamard-type integral inequalities for (α,m)−convex functions.
참고문헌 (19)
- A. G. Azpeitia, "Convex functions and the Hadamard inequality", Rev. Colombiana Math., 28, pp.7~12 (1994)
- M. K. Bakula, "Hadamard tpye inequalities for m-convex and (α;m)-convex functions", J. Inequal. Pure and Appl. Math., 9(4) (2008)
- M. K. Bakula, "Companion inequalities to Jensen's inequal- ity for m-convex and (α;m)-convex functions", J. Inequal. Pure and Appl. Math., 7(5) (2006)
- S. S. Dragomir, "On some new inequalities of Hermite-Hadamard type for m-convex functions", Tamkang J. Math., 3(1) (2002)
- "Selected Topics on Hermite-Hadamard Inequal- ities and Applications, RGMIA Monographs" (2000)[URL]
- S. S. Dragomir, "Some inequalities for m-convex functions", Studia Univ. Babes-Bolyai, Mathematica, 38(1), pp.21~28 (1993)
- U. S. Kirmaci, "Hadamard-tpye inequalities for s-convex functions", Appl. Math. and Comp., 193, pp.26~35 (2007)
- V. G. Mihesan, "A generalization of the convexity, Seminar on Functial Equations" (1993), Approx. and Convex, Cluj-Napoca (Romania)
- D. S. Mitrinovic, "Classical and New Inequalities in Analysis" (1993), Kluwer Academic Publishers
- C. P. Niculescu, "Convex Functions and Their Applications, A Con- temporary Approach, Canadian Math. Series Books in Mathematics" (2006), Springer
- M. E. Ozdemir, "On some inequalities of Hermite-Hadamard type via m-convexity", Appl. Math. Lett., 23(9), pp.1065~1070 (2010)
- Muhamet Emin Ozdemir, "Ostrowski's Type Inequalities for (α,m)-Convex Functions", Kyungpook Mathematical Journal, 50(3), pp.371~378 (2010), 경북대학교 자연과학대학 수학과
- M. E. Ozdemir, "Hermite{Hadamard-type inequalities via(α;m)-convexity", Computers and Mathematics with Applications, 61, pp.2614~2620 (2011)
- M. E. Ozdemir, "Some new Hadamard's type inequalities for co-ordinated m-convex and (α;m)-convex functions, Hacettepe", J. of. Math. and Statistics, 40, pp.219~229 (2011)
- J. E. Pecaric, "Convex Functions, Partial Orderings, and Statistical Applications" (1992), Academic Press, INC
- M. Z. Sarikaya, "On some Hadamard{type inequalities for h-convex functions", J. Math. Ineq., 2(3), pp.335~341 (2008)
- Aziz Saglam, "Some New Inequalities of Hermite-Hadamard's Type", Kyungpook Mathematical Journal, 50(3), pp.399~410 (2010), 경북대학교 자연과학대학 수학과
- G. Toader, "Some generalizations of the convexity", Proc. Colloq. Approx. Opt. Cluj- Napoca, pp.329~338 (1984)
- G. Toader, "The hierarchy of convexity and some classic inequalities", J. Math. Ineq., 3(3), pp.305~313 (2009)
관련 논문AI추천
Ostrowski's Type Inequalities for (α,m)-Convex FunctionsErhan Set, Havva KavurmacI, Muhamet Emin Ozdemir경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제3호GENERALIZATION OF INEQUALITIES ANALOGOUS TO HERMITE–HADAMARD INEQUALITY VIA FRACTIONAL INTEGRALSKiran Nazeer, Muhammad Iqbal, Muhammad Iqbal Bhatti대한수학회 · 대한수학회보2015 · 제52권 제3호Some New Inequalities of Hermite-Hadamard's TypeAziz Saglam, Huseyin Yildirim, Mehmet Zeki Sarikaya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제3호Riemann-Liouville fractional versions of Hadamard inequality for strongly $(\alpha,m)$-convex functionsGhulam Farid, Lakshmi Narayan Mishra, Laxmi Rathour, Saira Bano Akbar강원경기수학회 · 한국수학논문집2021 · 제29권 제4호Hermite-Hadamard-Fejer Type Inequalities for Harmonically Quasi-convex Functions via Fractional IntegralsImdat Iscan, Mehmet Kunt경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호New bounds for the Ostrowski-like type inequalitiesQuoc Anh Ngo, Vu Nhat Huy대한수학회 · 대한수학회보2011 · 제48권 제1호
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