On Fejér type inequalities for products convex and s-convex functions

Authors

  • Hüseyin BUDAK Düzce University, Faculty of Science and Arts Department of Mathematics Düzce, Turkey, e-mail: hsyn.budak@gmail.com https://orcid.org/0000-0001-8843-955X
  • Yonca BAKIȘ Düzce University, Faculty of Science and Arts Department of Mathematics Düzce, Turkey, e-mail: yonca.bakis93@hotmail.com

DOI:

https://doi.org/10.24193/subbmath.2020.2.01

Keywords:

Fejér type inequalities, convex function, integral inequalities.

Abstract

In this paper, we first obtain some new Fejér type inequalities for products of convex and s-convex mappings. Then, some Fejér type inequalities for products of two s-convex function are established.

Mathematics Subject Classification (2010): 26D07, 26D10, 26D15, 26A33.

References

Budak, H., Bakı¸s, Y., On Fejer type inequalities for products two convex functions, Note di Matematica, in press.

Budak, H., Sarıkaya, M.Z., Hermite-Hadamard type inequalities for products of two coordinated convex mappings via fractional integrals, International Journal of Applied Mathematics and Statistics, 58(2019), no. 4, 11-30.

Chen, F., A note on Hermite-Hadamard inequalities for products of convex functions, Journal of Applied Mathematics, vol. 2013, Art. ID 935020, 5 pages.

Chen, F., A note on Hermite-Hadamard inequalities for products of convex functions via Riemann-Liouville fractional integrals, Ital. J. Pure Appl. Math., 33(2014), 299-306.

Chen, F., Wu, S., Several complementary inequalities to inequalities of Hermite- Hadamard type for s-convex functions, J. Nonlinear Sci. Appl., 9(2016), 705-716.

Dragomir, S.S., Pearce, C.E.M., Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.

Fejer, L., U¨ber die Fourierreihen, (Hungarian), II. Math. Naturwiss. Anz Ungar. Akad. Wiss., 24(1906), 369-390.

Hue, N.N., Huy, D.Q., Some inequalities of the Hermite-Hadamard type for product of two functions, Journal of New Theory, 2016, 26-37.

Kırmacı, U.S., Bakula, M.K., O¨ zdemir, M.E., Peˇcari´c, J., Hadamard-tpye inequalities for s-convex functions, Appl. Math. Comput., 193(2007), 26-35.

Latif, M.A., Alomari, M., Hadamard-type inequalities for product two convex functions on the co-ordinates, Int. Math. Forum, 47(2009), no. 4, 2327-2338.

Ozdemir, M.E., Latif, M.A., Akdemir, A.O., On some Hadamard-type inequalities for product of two s-convex functions on the co-ordinates, J. Inequal. Appl., 21(2012), 1-13. [12] Ozdemir, M.E., Latif, M.A., Akdemir, A.O., On some Hadamard-type inequalities for product of two h-convex functions on the co-ordinates, Turkish Journal of Science,1(2016), 41-58.

Pachpatte, B.G., On some inequalities for convex functions, RGMIA Res. Rep. Coll., 6(E)(2003).

Peˇcari´c, J.E., Proschan, F., Tong, Y.L., Convex Functions, Partial Orderings and Statistical Applications, Academic Press, Boston, 1992.

Sarikaya, M.Z., Set, E., Ozdemir, M.E., On some new inequalities of Hadamard type involving h-convex functions, Acta Math. Univ. Comenian. (N.S.), 79(2010), no. 2, 265- 272.

Set, E., O¨ zdemir, M.E., Dragomir, S.S., On the Hermite-Hadamard inequality and other integral inequalities involving two functions, J. Inequal. Appl., 9(2010), Art. ID 148102. [17] Yin, H.-P., Qi, F. Hermite-Hadamard type inequalities for the product of (α, m)-convex functions, J. Nonlinear Sci. Appl., 8(2015), 231-236.

Downloads

Published

2020-06-05

How to Cite

BUDAK, H., & BAKIȘ, Y. (2020). On Fejér type inequalities for products convex and s-convex functions. Studia Universitatis Babeș-Bolyai Mathematica, 65(2), 165–182. https://doi.org/10.24193/subbmath.2020.2.01

Issue

Section

Articles

Similar Articles

<< < 8 9 10 11 12 13 14 15 16 17 > >> 

You may also start an advanced similarity search for this article.