Huriye KADAKAL

Hermite-Hadamard Type Inequalities For Two Times Differentiable Arithmetic-Harmonically Convex Functions

ISSN: 2587-2680
Yayın Aralığı: 4
Başlangıç: 2002
Yayıncı: SİVAS CUMHURİYET ÜNİVERSİTESİ > FEN FAKÜLTESİ

In this work, by using both an integral identity and the Hölder, the power-mean integral inequalities it is established several new inequalities for two times differentiable arithmetic-harmonically-convex function. Also, a few applications are given for some means of real numbers.

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Dragomir, S.S., Inequalities of Hermite-Hadamard type for AH-convex functions, Stud. Univ. Babeş-Bolyai Math., 61-4 (2016) 489-502.
Dragomir S.S. and Pearce, C.E.M., Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
Maden, S., Kadakal, H., Kadakal M. and İşcan, İ., Some new integral inequalities for n-times differentiable convex and concave functions. J. Nonlinear Sci. Appl., 10 (2017) 6141-6148.
Sarikaya, M.Z. and Aktan, N., On the generalization of some integral inequalities and their applications, Mathematical and Computer Modelling, 54 (2011) 2175-2182.
Zhang, T.Y. and Qi, F., Integral Inequalities of Hermite-Hadamard Type for m-AH Convex Functions, Turkish Journal of Analysis and Number Theory, 2-3 (2014) 60-64.