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Year 2019, Volume: 40 Issue: 3, 670 - 678, 30.09.2019
https://doi.org/10.17776/csj.544984

Abstract

References

  • 1. S.S. Dragomir, Inequalities of Hermite-Hadamard type for AH-convex functions, Stud. Univ. Babeş-Bolyai Math. 61(4) (2016), 489-502.
  • 2. S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  • 3. 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.
  • 4. Sarikaya, M.Z. and Aktan, N., On the generalization of some integral inequalities and their applications, Mathematical and Computer Modelling, 54, (2011), 2175-2182.
  • 5. T.-Y. Zhang and F. Qi, Integral Inequalities of Hermite–Hadamard Type for m-AH Convex Functions, Turkish Journal of Analysis and Number Theory, 2(3) (2014), 60-64.

Hermite-Hadamard Type Inequalities For Two Times Differentiable Arithmetic-Harmonically Convex Functions

Year 2019, Volume: 40 Issue: 3, 670 - 678, 30.09.2019
https://doi.org/10.17776/csj.544984

Abstract

In this work, by using both an
integral identity and the Hölder, the power-mean integral inequalities it is
established several new inequalities for two times differentiable
arithmetic-harmonically-convex function. Also, a few applications are given for
some means of real numbers.

References

  • 1. S.S. Dragomir, Inequalities of Hermite-Hadamard type for AH-convex functions, Stud. Univ. Babeş-Bolyai Math. 61(4) (2016), 489-502.
  • 2. S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  • 3. 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.
  • 4. Sarikaya, M.Z. and Aktan, N., On the generalization of some integral inequalities and their applications, Mathematical and Computer Modelling, 54, (2011), 2175-2182.
  • 5. T.-Y. Zhang and F. Qi, Integral Inequalities of Hermite–Hadamard Type for m-AH Convex Functions, Turkish Journal of Analysis and Number Theory, 2(3) (2014), 60-64.
There are 5 citations in total.

Details

Primary Language Turkish
Journal Section Natural Sciences
Authors

Huriye Kadakal 0000-0002-0304-7192

Publication Date September 30, 2019
Submission Date March 26, 2019
Acceptance Date September 11, 2019
Published in Issue Year 2019Volume: 40 Issue: 3

Cite

APA Kadakal, H. (2019). Hermite-Hadamard Type Inequalities For Two Times Differentiable Arithmetic-Harmonically Convex Functions. Cumhuriyet Science Journal, 40(3), 670-678. https://doi.org/10.17776/csj.544984