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On New Inequalities of Simpson’s Type for Functions Whose Second Derivatives Absolute Values are Convex


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M. Alomari, M. Darus and S.S. Dragomir, New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex, RGMIA Res. Rep. Coll., 12 (2009), Supplement, Article 17. [Online: http://www.staff.vu.edu.au/RGMIA/v12(E).asp] Search in Google Scholar

M. Alomari, M. Darus and S.S. Dragomir, New inequalities of Simpson’s type for sconvex functions with applications, RGMIA Res. Rep. Coll., 12 (4) (2009), Article 9. [Online: http://www.staff.vu.edu.au/RGMIA/v12n4.asp] Search in Google Scholar

S.S. Dragomir, R.P. Agarwal and P. Cerone, On Simpson’s inequality and applications, J. ofInequal. Appl., 5(2000), 533-579.Search in Google Scholar

S. Hussain, M.I. Bhatti and M. Iqbal, Hadamard-type inequalities for s-convex functions I, Punjab Univ. Jour. of Math., Vol.41, pp:51-60, (2009).Search in Google Scholar

B.Z. Liu, An inequality of Simpson type, Proc. R. Soc. A, 461 (2005), 2155-2158.10.1098/rspa.2005.1505Search in Google Scholar

J. Pečarić, F. Proschan and Y.L. Tong, Convex functions, partial ordering and statistical applications, Academic Press, New York, 1991.Search in Google Scholar

ISSN:
1336-9180
Language:
English