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In this paper we establish several inequalities of Hadamard's type for Wright-convex functions.
Wydawca
Czasopismo
Rocznik
Tom
Strony
525--532
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Department of Mathematics, Aletheia University, Tamsui, Taiwan 25103
autor
- Department of Mathematics, Tamkang University, Tamsui, Taiwan 25137
autor
- School of Computer Science and Mathematics, Victoria University of Technology, PO BOX 14428, MCMC 8001 Victoria, Australia
Bibliografia
- [1] J. L. Brenner, H. Alzer, Integral inequalities for concave functions with applications to special functions, Proc. Roy. Soc. Edinburgh A, 118 (1991), 173-192.
- [2] S. S. Dragomir, Two mappings in connection to Hadamard's inequalities, J. Math. Anal. Appl. 167 (1992), 49-56.
- [3] S. S. Dragomir, Y. J. Cho, S. S. Kim, Inequalities of Hadamard's type for Lipschitzian mappings and their applications, J. Math. Anal. Appl. 245 (2000), 489-501.
- [4] L. Fejér, Über die Fourierreihen, II, Math. Naturwiss. Anz Ungar. Akad. Wiss. 24 (1906), 369-390 (in Hungarian).
- [5] J. Hadamard, Étude sur les propriétés des fonctions entières en particulier d'une fonction considérée par Riemann, J. Math. Pures Appl. 58 (1893), 171-215.
- [6] K. C. Lee, K. L. Tseng, On a weighted generalization of Hadamard's inequality for G-convex functions, Tamsui-Oxford J. Math. Sci. 16(1) (2000), 91-104.
- [7] M. Matić, J. Pečarić, On inequalities of Hadamard's type for Lipschitzian mappings, Tamkang J. Math., to appear.
- [8] C. E. M. Pearce, J. Pečarić, On some inequalities of Brenner and Alzer for concave functions, J. Math. Anal. Appl., 198 (1996), 282-288.
- [9] A. W. Roberts, D. E. Varberg, Convex Functions, Acadamic Press, New York, 1973.
- [10] G. S. Yang, M. C. Hong, A note on Hadamard's inequality, Tamkang. J. Math., 28(1) (1997), 33-37.
- [11] G. S. Yang, K. L. Tseng, On certain integral inequalities related to Hermite-Hadamard inequalities, J. Math. Anal. Appl.239 (1999), 180-187.
- [12] G. S. Yang, K. L. Tseng, Inequalities of Hadamard's Type for Lipschitzian mappings, J. Math. Anal. Appl. 260 (2001), 230-238.
- [13] G. S. Yang, K. L. Tseng, On certain multiple integral inequalities related to HermiteHadamard inequalities, Utilitas Math, to appear.
- [14] G. S. Yang, K. L. Tseng, On quasi convex functions and Hadamard's inequality, preprint.
- [15] G. S. Yang, C. S. Wang, Some refinements of Hadamard's inequalities, Tamkang J. Math., 28(2) (1997), 87-92.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0010-0026