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Year 2019, Volume: 2 Issue: 3, 152 - 158, 30.09.2019

Mahir Kadakal İmdat İşcan

https://doi.org/10.32323/ujma.559458
Cited By: 2

Abstract

References

  • [1] K. Bekar, Inequalities for three-times differentiable arithmetic-harmonically functions, Turkish J. Anal. Number Theory, (Accepted for publication), (2019).
  • [2] S.S. Dragomir, Inequalities of Hermite-Hadamard type for AH-convex functions, Stud. Univ. Babes¸-Bolyai Math. 61(4) (2016), 489-502.
  • [3] S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, (2000).
  • [4] İ. İşcan, T. Toplu and F. Yetgin, Some new inequalities on generalization of Hermite-Hadamard and Bullen type inequalities, Kragujevac J. Math., (Accepted for publication), 2019.
  • [5] H. Kadakal, Some New Integral Inequalities for n-Times Differentiable Strongly r-Convex Functions, J. Funct. Spaces, Volume 2019, Article ID 1219237, 10 pages, (2019).
  • [6] H. Kadakal, Hermite-Hadamard type inequalities for two times differentiable arithmetic-harmonically convex functions, Cumhuriyet Sci. J., (Accepted for publication), (2019).
  • [7] M. Kadakal and İ. İşcan, Some new inequalities for differentiable arithmetic-harmonically convex functions, C. R. Acad. Bulgare Sci, (Submitted to journal), (2019).
  • [8] S. Maden, H. Kadakal, M. Kadakal and İ. İşcan, Some new integral inequalities for n-times differentiable convex and concave functions. J. Nonlinear Sci. Appl., 10 (2017), 6141–6148.
  • [9] M. Z. Sarikaya and N. Aktan, On the generalization of some integral inequalities and their applications, Math. Comput. Model. Dyn. Syst., 54, (2011), 2175-2182.
  • [10] T. Y. Zhang and F. Qi, Integral Inequalities of Hermite–Hadamard Type for m-AH Convex Functions, Turkish J. Anal. Number Theory, 2(3) (2014), 60-64.

Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions

Year 2019, Volume: 2 Issue: 3, 152 - 158, 30.09.2019

Mahir Kadakal İmdat İşcan

https://doi.org/10.32323/ujma.559458
Cited By: 2

Abstract

In this paper, by using an integral identity some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose second derivatives in absolute value at certain power are arithmetically-harmonically convex are obtained. Some applications to special means of real numbers are also given.

Keywords

Convex function Hermite- Hadamard and Bullen type inequality

References

  • [1] K. Bekar, Inequalities for three-times differentiable arithmetic-harmonically functions, Turkish J. Anal. Number Theory, (Accepted for publication), (2019).
  • [2] S.S. Dragomir, Inequalities of Hermite-Hadamard type for AH-convex functions, Stud. Univ. Babes¸-Bolyai Math. 61(4) (2016), 489-502.
  • [3] S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, (2000).
  • [4] İ. İşcan, T. Toplu and F. Yetgin, Some new inequalities on generalization of Hermite-Hadamard and Bullen type inequalities, Kragujevac J. Math., (Accepted for publication), 2019.
  • [5] H. Kadakal, Some New Integral Inequalities for n-Times Differentiable Strongly r-Convex Functions, J. Funct. Spaces, Volume 2019, Article ID 1219237, 10 pages, (2019).
  • [6] H. Kadakal, Hermite-Hadamard type inequalities for two times differentiable arithmetic-harmonically convex functions, Cumhuriyet Sci. J., (Accepted for publication), (2019).
  • [7] M. Kadakal and İ. İşcan, Some new inequalities for differentiable arithmetic-harmonically convex functions, C. R. Acad. Bulgare Sci, (Submitted to journal), (2019).
  • [8] S. Maden, H. Kadakal, M. Kadakal and İ. İşcan, Some new integral inequalities for n-times differentiable convex and concave functions. J. Nonlinear Sci. Appl., 10 (2017), 6141–6148.
  • [9] M. Z. Sarikaya and N. Aktan, On the generalization of some integral inequalities and their applications, Math. Comput. Model. Dyn. Syst., 54, (2011), 2175-2182.
  • [10] T. Y. Zhang and F. Qi, Integral Inequalities of Hermite–Hadamard Type for m-AH Convex Functions, Turkish J. Anal. Number Theory, 2(3) (2014), 60-64.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Mahir Kadakal 0000-0002-0240-918X

İmdat İşcan 0000-0001-6749-0591

Publication Date September 30, 2019
Submission Date April 30, 2019
Acceptance Date July 3, 2019
Published in Issue Year 2019 Volume: 2 Issue: 3

Cite

APA Kadakal, M., & İşcan, İ. (2019). Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Universal Journal of Mathematics and Applications, 2(3), 152-158. https://doi.org/10.32323/ujma.559458
AMA Kadakal M, İşcan İ. Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Univ. J. Math. Appl. September 2019;2(3):152-158. doi:10.32323/ujma.559458
Chicago Kadakal, Mahir, and İmdat İşcan. “Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions”. Universal Journal of Mathematics and Applications 2, no. 3 (September 2019): 152-58. https://doi.org/10.32323/ujma.559458.
EndNote Kadakal M, İşcan İ (September 1, 2019) Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Universal Journal of Mathematics and Applications 2 3 152–158.
IEEE M. Kadakal and İ. İşcan, “Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions”, Univ. J. Math. Appl., vol. 2, no. 3, pp. 152–158, 2019, doi: 10.32323/ujma.559458.
ISNAD Kadakal, Mahir - İşcan, İmdat. “Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions”. Universal Journal of Mathematics and Applications 2/3 (September 2019), 152-158. https://doi.org/10.32323/ujma.559458.
JAMA Kadakal M, İşcan İ. Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Univ. J. Math. Appl. 2019;2:152–158.
MLA Kadakal, Mahir and İmdat İşcan. “Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions”. Universal Journal of Mathematics and Applications, vol. 2, no. 3, 2019, pp. 152-8, doi:10.32323/ujma.559458.
Vancouver Kadakal M, İşcan İ. Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Univ. J. Math. Appl. 2019;2(3):152-8.

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