Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function

Yıl 2016, Cilt: 4 Sayı: 2, 14 - 22, 30.10.2016

Opeyemi Omotoyinbo Adesanmi Mogbademu Peter Olanipekun

https://doi.org/10.36753/mathenot.421442

Cited By: 2

Öz

In this paper, we establish some Hermite-Hadamard type Integral inequalities for a new class of convex
function called λ-MT-convex function. Our results generalize and extend some existing results in
literature.

Anahtar Kelimeler

Hermite-Hadamard integral Inequalities, MT-convex function, λ-MT-convex function

Kaynakça

• [1] Ardic, M.A and Ozdemir, M.E., On some inequalities for different kinds of convexity. J. Inequal. Appl. 3 (2012), 1-6.
• [2] Berwein, J. M and Vanderwerff, J. D., Convex Functions:Constructions, Characterizations and Counterexamples. Cambridge University Press (2010), ISBN 978-0-521-85005-6.
• [3] Dragomir S. S., Pecaric J. and Persson L.E., Some inequalities of Hadamard type. Soochow J. Math. 21 (1995), 335-241.
• [4] Dragomir, S. S., and Toader, G., Some Inequalities for m-convex functions. Studia Univ. Babes-Bolyai Math. 38 (1993), no. 1, 21-28.
• [5] Fenchel, W., Convexity through the ages. Proceedings Convexity and its Applications (1983), 120-130.
• [6] Godunova E. K. and Levin V. I., Neravenstva dlja funkcii sirokogo klassa, soderzascego vypuklye monotonnye i nekotorye drugie vidy funkii. Vycisli-tel. Mat. i. Fiz. Mezvuzov. Sb. Nauc. Trudov, MGPI, Moskva (1985), 138-142.
• [7] Hadamard J., Etude Sur les properties des fontions entieres et en particular d’une function consideree par Riemann. J. Math. Pure and Appl. 58 (1893), 171-215.
• [8] Omotoyinbo O. and Mogbademu A., On some Hadamard inequality for Godunova-Levin and MT-Convex functions. J. Nig. Assoc. Math. Phys. 25 (2013), no: II, 215-222.
• [9] Omotoyinbo, O. and Mogbademu, A., Some New Hermite-Hadamard Integral inequalities for convex functions. Int. J. Sci. Innovation Tech. 1 (2014), no. 1, 001-012.
• [10] Ozdemir, M.E., Ekinci, A and Akdemir, A.O., Some new Integral Inequalites for several kinds of convex functions. Arxiv.org/pdf/1202.2003. (2012), 1-11.
• [11] Tunc M., and Yildirim, H., On MT-convexity. http://arxiv.org/pdf/1205.5453.pdf. (2012), Preprint.
• [12] Tunc M., Subas Y., and Karabayir I., On some Hadamard type inequalities for MT-convex functions. Int. J. Open Problems Comp. Math. 6 (2013), no. 2, 1998-6262