참고문헌
- A. G. Azpeitia, Convex functions and the Hadamard inequality, Rev. Colombiana Math., 28(1994), 7-12.
-
M. K. Bakula, M. E. Ozdemir, J. Pecaric, Hadamard tpye inequalities for m-convex and (
${\alpha}$ ,m)-convex functions, J. Inequal. Pure and Appl. Math., 9(4)(2008), Art. 96. -
M. K. Bakula, J. Pecaric, M. Ribicic, Companion inequalities to Jensen's inequal- ity for m-convex and (
${\alpha}$ ,m)-convex functions, J. Inequal. Pure and Appl. Math., 7(5)(2006), Art. 194. - S. S. Dragomir, On some new inequalities of Hermite-Hadamard type for m-convex functions, Tamkang J. Math., 3(1)(2002).
- S. S. Dragomir, C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000. [online: http://www.staff.vu.edu.au/RGMIA/monographs/hermite-hadamard.html].
- S. S. Dragomir, G. Toader, Some inequalities for m-convex functions, Studia Univ. Babes-Bolyai, Mathematica, 38(1)(1993), 21-28.
- U. S. Kirmaci, M. K. Bakula, M. E. Ozdemir, J. Pecaric, Hadamard-tpye inequalities for s-convex functions, Appl. Math. and Comp., 193(2007), 26-35. https://doi.org/10.1016/j.amc.2007.03.030
- V. G. Mihesan, A generalization of the convexity, Seminar on Functial Equations, Approx. and Convex, Cluj-Napoca (Romania) 1993.
- D. S. Mitrinovic, J. E. Pecaric, A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993.
- C. P. Niculescu, L. E. Persson, Convex Functions and Their Applications, A Contemporary Approach, Canadian Math. Series Books in Mathematics, Springer, New York, 2006.
- M. E. Ozdemir, M. Avci, E. Set, On some inequalities of Hermite{Hadamard type via m-convexity, Appl. Math. Lett., 23(9)(2010) 1065-1070. https://doi.org/10.1016/j.aml.2010.04.037
-
M. E. Ozdemir, H. Kavurmaci, E. Set, Ostrowski's type inequalities for (
${\alpha}$ ,m)-convex functions, Kyungpook Math. J., 50(2010), 371-378. https://doi.org/10.5666/KMJ.2010.50.3.371 -
M. E. Ozdemir, M. Avci and H. Kavurmaci, Hermite-Hadamard-type inequalities via (
${\alpha}$ ,m)-convexity, Computers and Mathematics with Applications, 61(2011), 2614- 2620. https://doi.org/10.1016/j.camwa.2011.02.053 -
M. E. Ozdemir, E. Set and M. Z. Sarikaya, Some new Hadamard's type inequalities for co-ordinated m-convex and (
${\alpha}$ ,m)-convex functions, Hacettepe J. of. Math. and Statistics, 40(2011), 219-229. - J. E. Pecaric, F. Proschan, Y. L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Academic Press, INC, 1992.
- M. Z. Sarikaya, A. Saglam and H. Yildirim, On some Hadamard-type inequalities for h-convex functions, J. Math. Ineq., 2(3)(2008), 335-341.
- A. Saglam, H. Yildirim and M. Z. Sarikaya, Some new inequalities of Hermite- Hadamard type, Kyungpook Math. J., 50(2010) 399-410. https://doi.org/10.5666/KMJ.2010.50.3.399
- G. Toader, Some generalizations of the convexity, Proc. Colloq. Approx. Opt. Cluj-Napoca, (1984), 329-338.
- G. Toader, The hierarchy of convexity and some classic inequalities, J. Math. Ineq., 3(3)(2009), 305-313.
피인용 문헌
- Properties and Riemann-Liouville fractional Hermite-Hadamard inequalities for the generalized ( α , m ) $(\alpha,m)$ -preinvex functions vol.2016, pp.1, 2016, https://doi.org/10.1186/s13660-016-1251-5
- Hermite–Hadamard type integral inequalities for differentiable m-preinvex and (α,m)-preinvex functions vol.23, pp.2, 2015, https://doi.org/10.1016/j.joems.2014.06.006