Inequalities of Hermite-Hadamard Type for GG-Convex Functions

Author:

Dragomir S. S.1

Affiliation:

1. Mathematics, College of Engineering & Science Victoria University , PO Box 14428 Melbourne City, MC 8001 , Australia .

Abstract

Abstract Some inequalities of Hermite-Hadamard type for GG-convex functions defined on positive intervals are given. Applications for special means are also provided.

Publisher

Walter de Gruyter GmbH

Reference63 articles.

1. [1] M. Alomari and M. Darus, The Hadamard’s inequality for s-convex function, Int. J. Math. Anal. (Ruse), 2 (13-16), (2008), 639-646

2. [2] M. Alomari and M. Darus, Hadamard-type inequalities for s-convex functions, Int. Math. Forum, 3 (37-40), (2008), 1965-1975

3. [3] G. A. Anastassiou, Univariate Ostrowski inequalities, revisited, Monatsh. Math., 135 (3), (2002), 175-189

4. [4] G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen, Generalized convexity and inequalities, J. Math. Anal. Appl., 335, (2007), 1294-1308

5. [5] N. S. Barnett, P. Cerone, S. S. Dragomir, M. R. Pinheiro, and A. Sofo, Ostrowski type inequalities for functions whose modulus of the derivatives are convex and applications, Inequality Theory and Applications, Vol. 2, Nova Sci. Publ., Hauppauge, NY, 2003, 19-32

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