Research Article

Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions

Volume: 5 Number: 2 March 30, 2017
EN

Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions

Abstract

In this paper, by using an integral identity together with both the H¨older and the Power-Mean integral inequality we established some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions.

Keywords

References

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  3. P. Cerone, S.S. Dragomir and J. Roumeliotis, “Some Ostrowski type inequalities for n-time differentiable mappings and applications”, Demonstratio Math., 32 (4) (1999), 697–712.
  4. P. Cerone, S.S. Dragomir, J. Roumeliotis and J. Sunde, “A new generalization of the trapezoid formula for n-time differentiable mappings and applications”, Demonstratio Math., 33 (4) (2000), 719–736.
  5. S.S. Dragomir and C.E.M. Pearce, “Selected Topics on Hermite-Hadamard Inequalities and Applications”, RGMIA Monographs, Victoria University, 2000, online: http://www.staxo.vu.edu.au/RGMIA/monographs/hermitehadamard.html.
  6. D.Y. Hwang, “Some Inequalities for n-time Differentiable Mappings and Applications”, Kyung. Math. Jour., 43 (2003), 335–343.
  7. I. Iscan, “Ostrowski type inequalities for p-convex functions”, New Trends in Mathematical Sciences, 4 (3) (2016), 140-150.
  8. I. Iscan and S. Turhan, “Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex functions via Fractional integral”, Moroccan J. Pure and Appl. Anal.(MJPAA), Volume 2(1) (2016), 34-46.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Huriye Kadakal This is me
Türkiye

Mahir Kadakal This is me
Türkiye

Publication Date

March 30, 2017

Submission Date

February 24, 2017

Acceptance Date

June 1, 2017

Published in Issue

Year 1970 Volume: 5 Number: 2

APA
Iscan, I., Kadakal, H., & Kadakal, M. (2017). Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences, 5(2), 180-185. https://izlik.org/JA85AM76SX
AMA
1.Iscan I, Kadakal H, Kadakal M. Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences. 2017;5(2):180-185. https://izlik.org/JA85AM76SX
Chicago
Iscan, Imdat, Huriye Kadakal, and Mahir Kadakal. 2017. “Some New Integral Inequalities for Functions Whose Nth Derivatives in Absolute Value Are (a,m)-Convex Functions”. New Trends in Mathematical Sciences 5 (2): 180-85. https://izlik.org/JA85AM76SX.
EndNote
Iscan I, Kadakal H, Kadakal M (March 1, 2017) Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences 5 2 180–185.
IEEE
[1]I. Iscan, H. Kadakal, and M. Kadakal, “Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions”, New Trends in Mathematical Sciences, vol. 5, no. 2, pp. 180–185, Mar. 2017, [Online]. Available: https://izlik.org/JA85AM76SX
ISNAD
Iscan, Imdat - Kadakal, Huriye - Kadakal, Mahir. “Some New Integral Inequalities for Functions Whose Nth Derivatives in Absolute Value Are (a,m)-Convex Functions”. New Trends in Mathematical Sciences 5/2 (March 1, 2017): 180-185. https://izlik.org/JA85AM76SX.
JAMA
1.Iscan I, Kadakal H, Kadakal M. Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences. 2017;5:180–185.
MLA
Iscan, Imdat, et al. “Some New Integral Inequalities for Functions Whose Nth Derivatives in Absolute Value Are (a,m)-Convex Functions”. New Trends in Mathematical Sciences, vol. 5, no. 2, Mar. 2017, pp. 180-5, https://izlik.org/JA85AM76SX.
Vancouver
1.Imdat Iscan, Huriye Kadakal, Mahir Kadakal. Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences [Internet]. 2017 Mar. 1;5(2):180-5. Available from: https://izlik.org/JA85AM76SX