On Some Inequalities for Product of Different Kinds of Convex Functions

Yıl 2020, Cilt: 5 Sayı: 1, 23 - 27, 30.03.2020

Mustafa Gürbüz , Muhamet Emin Özdemir

Öz

In this paper some new inequalities for product of di¤erent kinds of convex functions are obtained. To put forward new results, basic definitions of convex functions are considered in different ways and fairly elementary analysis is used.

Anahtar Kelimeler

h-convex functions , Q(I) class of functions , convex functions , (alpha-m)-convex functions , integral inequalities

Kaynakça

• Godunova, E. K. and Levin, V. I., Inequalities for functions of a broad class that contains convex, monotone and some other forms of functions' in: Numerical Mathematics and Mathematical Physics (Moskov. Gos. Ped. Inst, Moscow, 1985), pp. 138-142, 166 (in Russian).
• S. Varosanec, On h-convexity, J. Math. Anal. Appl. 326 (2007) 303-311.
• V.G. Miheşan, A generalization of the convexity, Seminar on Functional Equations, Approx. and Convex., Cluj-Napoca (Romania) (1993).
• Toader, G.H., 1984. Some Generalisations of the Convexity, Proc. Colloq. Approx. Optim, Cluj-Napoca, 329-338, Romania.
• Pecaric, J., Proschan, F. and Tong, Y.L., 1992. Convex Functions, Partial Orderings and Statistical Applications, Academic Press, Inc.
• Dragomir, S.S. and Pearce, C.E.M., 2000. Selected Topics on Hermite-Hadamard Tpye Inequalities and Applications, RGMIA, Monographs, http://rgmia.vu.edu.au/monographs.html
• Sarıkaya, M.Z., Set, E. and Özdemir, M.E., 2010. On some new inequalities of Hadamard type involving h-convex functions, Acta Math. Universitatis Comenianae. Vol. 79. Iss. 2, 265-272.