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On quasi convex functions and Hadamard's inequality

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Języki publikacji
EN
Abstrakty
EN
In this paper we establish some inequalities of Hadamard's type involving Godunova-Levin functions, P-functions, quasi-convex functions, J-quasi-convex functions, Wright-convex functions and Wright-quasi-convex functions.
Wydawca
Rocznik
Strony
323--336
Opis fizyczny
Bibliogr. 21 poz.
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autor
autor
autor
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Bibliografia
  • [1] H. Alzer, A note on Hadamard's inequalities, C.R. Math. Rep. Acad. Sci Canada, 1989, 255-258.
  • [2] J. L. Brenner and H. Alzer, Integral inequalities for concave functions with applications to special functions, Proc. Roy. Soc. Edinburgh A 118 (1991), 173-192.
  • [3] S. S. Dragomir, Two refinements of Hadamard's inequality, Coll. of Pap. Dep. of the Fac. of Sci. Kragujevac, (Yugoslavia) 1990, 23-26.
  • [4] S. S. Dragomir, Two mappings in connection to Hadamard's inequalities, J. Math. Anal. Appl. 167 (1992), 49-56.
  • [5] S. S. Dragomir, On Hadamard's inequalities for convex functions, Mat. Balkanica, 6 (1992), 215-222.
  • [6] S. S. Dragomir and C. Buşe, Refinements of Badamard's inequality for multiple integrals, Utilitas Mathematica 47 (1995), 193-198.
  • [7] S. S. Dragomir, J. E. Pečarić and J. Sándor, A note on the Jensen-Hadamard inequality, Anal. Num, Théor. Approx. 19 (1990), 29-34.
  • [8] S. S. Dragomir, J. E. Pečarić and L. E. Persson, Some inequalities of Hadamard type, Soochow J. Math. 21 (1995), 335-341.
  • [9] S. S. Dragomir, C. E. M. Pearce, Quasi-convex functions and Hadamard's inequality, Bull. Austral. Math. Soc. 57 (1998), 377-385.
  • [10] S. S. Dragomir, C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000. (ONLINE: http://rgmia.vu.edu.au/monographs/)
  • [11] E. K. Godunova and V. I. Levin, Inequalities for functions of a broad class that contains convex, monotone and some other forms of functions, (Russian) Numerical mathematics and mathematical physics (Russian), Moskov. Gos. Ped. Inst. (Moscow), 166 (1985), 138-142 .
  • [12] D. S. Mitrinović and J. E. Pečarić, Note on a class of functions of Godunova and Levin, C.R. Math. Rep. Acad. Sci. Canada 12 (1990), 33-36.
  • [13] D. S. Mitrinović and J. E. Pečarić and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Acad. Publ., 1993.
  • [14] C. E. M. Pearce and A. M. Rubinov, P-functions, quasi-convex functions and Hadamard-type inequalities, J. Math. Anal. Appl. 240 (1999), 92-104.
  • [15] J. E. Pečarić, F. Proschan and Y. L. Tong, Convex Functions, Partial Orderings and Statistical Applications, Academic Press, 1991.
  • [16] A. W. Roberts and D. E. Varberg, Convex Punctions, Academic Press, New York, 1973.
  • [17] E. M. Wright, An inequality for convex functions, Amer. Math. Monthly 61 (1954), 620-622.
  • [18] Gou-Sheng Yang and Kuei-Lin Tseng, On certain integral inequalities related to Hermite-Hadamard inequalities, J. Math. Anal. Appl. 239 (1999), 180-187.
  • [19] Gou-Sheng Yang and Kuei-Lin Tseng, Inequalities of Hadamard's type for Lipschitzian mapping, J. Math. Anal. Appl. 260 (2001), 230-238.
  • [20] Gou-Sheng Yang and Min-Chung Hong, A note on Hadamard's inequality, Tamkang J. Math. 28 (1) (1997), 33-37.
  • [21] G. S. Yang and 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-PWA3-0048-0009
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