Çarpımsal P-Fonksiyonlar İçin Hermite-Hadamard Tipli Eşitsizlikler

Serap Özcan

doi:10.17714/gumusfenbil.664386

Research Article

Hermite-Hadamard Type Inequalities for Multiplicatively P-Functions

Year 2020, Volume: 10 Issue: 2, 486 - 491, 15.04.2020

Serap Özcan

https://doi.org/10.17714/gumusfenbil.664386

Cited By: 4

Abstract

In
this study, we first establish some integral inequalities of Hermite-Hadamard
type in the setting of multiplicative calculus for multiplicatively -functions.
Then, by using some properties of this kind of functions, we obtain new inequalities
involving multiplicative integrals for product and quotient of multiplicatively
-functions
and convex functions.

Keywords

Convex Function, Hermite-Hadamard Inequalities, Multiplicative Calculus, Multiplicatively P-Function

Supporting Institution

Kırklareli Üniversitesi

Project Number

KLUBAP-191

References

Ali, M. A., Abbas, M., Zhang, Z., Sial, I. B. and Arif, R., 2019. On Integral Inequalities for Product and Quotient of Two Multiplicatively Convex Functions. Asian Research Journal of Mathematics, 12(3), 1-11.
Bashirov, A. E., Kurpınar, E. M. and Özyapıcı, A., 2008. Multiplicative Calculus and Applications. Journal of Mathematical Analysis and Applications, 337(1), 36-48.
Budak, H., Tunç, T. and Sarıkaya, M.Z., 2019. On Hermite-Hadamard Type Inequalities for F-Convex Function. Miskolc Mathematical Notes, 20(1), 169-191.
Dragomir, S. S. and Pearce, C. E. M., 1998. Quasi-Convex Functions and Hermite-Hadamard’s Inequality. Bulletin of the Australian Mathematical Society, 57, 377-385.
Dragomir, S. S. and Pearce, C. E. M., 2000. Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 357 p.
Dragomir, S. S., Pecaric, J. and Persson, L. E., 1995. Some Inequalities of Hadamard Type. Soochow Journal of Mathematics, 21(3), 335-341.
Kadakal, H., 2018. Multiplicatively P-Functions and Some New Inequalities. New Trends in Mathematical Sciences, 6(4), 111-118.
Kadakal, H., 2019. Some Integral Inequalities for Multiplicatively Geometrically P-Functions. An International Journal of Optimization and Control: Theories & Applications, 9(2), 216-222.
Kadakal, M., 2019. Hermite-Hadamard and Simpson Type Inequalities for Multiplicatively Harmonically P-Functions. Sigma Journal of Engineering and Natural Sciences, 37(4), 1311-1320.
Maden, S., Demirel, A.K., Turhan, S. and İşcan, İ., 2018. Some Integral Inequalities for the New Convex Functions. Sigma Journal of Engineering and Natural Sciences, 9(3), 319-326.
Özcan, S., 2019. Some Integral Inequalities for Harmonically (α,s)-Convex Functions. Journal of Function Spaces, Vol. 2019, Article ID 2394021, 8 pages.
Özcan, S. and İşcan, İ., 2019. Some New Hermite-Hadamard Type Inequalities for s-Convex Functions and Their Applications. Journal of İnequalities and Applications, Article number: 2019:201, 11 pages.
Özdemir, M.E., Önalan, H.K. and Ardıç, M.A., 2015. Hermite-Hadamard Type Inequalities for (h-(α,m))-Convex Functions. Journal of Concrete & Applicable Mathematics, 13, 96-107.
Pečarić, J. E., Proschan, F. and Tong, Y. L., 1992. Convex Functions, Partial Orderings and Statistical Applications, Academic Press, Boston, 467 p.
Sarıkaya, M.Z., Akkurt, A., Budak, H., Yıldırım, M.E. and Yıldırım, H., 2019. Hermite-Hadamard's Inequalities for Conformable Fractional Integrals. An International Journal of Optimization and Control: Theories & Applications, 9(1), 49-59.
Set, E., İşcan, İ., Sarıkaya, M. Z. and Özdemir, M. E., 2015. On New Inequalities of Hermite-Hadamard-Fejer Type for Convex Functions via Fractional Integrals. Applied Mathematics and Computation, 259, 875-881.