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Year 2020, Volume: 5 Issue: 1, 23 - 27, 30.03.2020

Abstract

References

  • 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.

On Some Inequalities for Product of Different Kinds of Convex Functions

Year 2020, Volume: 5 Issue: 1, 23 - 27, 30.03.2020

Abstract

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.

References

  • 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.
There are 7 citations in total.

Details

Primary Language English
Journal Section Volume V, Issue I, 2020
Authors

Mustafa Gürbüz

Muhamet Emin Özdemir

Publication Date March 30, 2020
Published in Issue Year 2020 Volume: 5 Issue: 1

Cite

APA Gürbüz, M., & Özdemir, M. E. (2020). On Some Inequalities for Product of Different Kinds of Convex Functions. Turkish Journal of Science, 5(1), 23-27.
AMA Gürbüz M, Özdemir ME. On Some Inequalities for Product of Different Kinds of Convex Functions. TJOS. March 2020;5(1):23-27.
Chicago Gürbüz, Mustafa, and Muhamet Emin Özdemir. “On Some Inequalities for Product of Different Kinds of Convex Functions”. Turkish Journal of Science 5, no. 1 (March 2020): 23-27.
EndNote Gürbüz M, Özdemir ME (March 1, 2020) On Some Inequalities for Product of Different Kinds of Convex Functions. Turkish Journal of Science 5 1 23–27.
IEEE M. Gürbüz and M. E. Özdemir, “On Some Inequalities for Product of Different Kinds of Convex Functions”, TJOS, vol. 5, no. 1, pp. 23–27, 2020.
ISNAD Gürbüz, Mustafa - Özdemir, Muhamet Emin. “On Some Inequalities for Product of Different Kinds of Convex Functions”. Turkish Journal of Science 5/1 (March 2020), 23-27.
JAMA Gürbüz M, Özdemir ME. On Some Inequalities for Product of Different Kinds of Convex Functions. TJOS. 2020;5:23–27.
MLA Gürbüz, Mustafa and Muhamet Emin Özdemir. “On Some Inequalities for Product of Different Kinds of Convex Functions”. Turkish Journal of Science, vol. 5, no. 1, 2020, pp. 23-27.
Vancouver Gürbüz M, Özdemir ME. On Some Inequalities for Product of Different Kinds of Convex Functions. TJOS. 2020;5(1):23-7.