Research Article

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

Volume: 40 Number: 3 September 30, 2019
EN

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

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.

Keywords

References

  1. 1. S.S. Dragomir, Inequalities of Hermite-Hadamard type for AH-convex functions, Stud. Univ. Babeş-Bolyai Math. 61(4) (2016), 489-502.
  2. 2. S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  3. 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. 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. 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.

Details

Primary Language

Turkish

Subjects

-

Journal Section

Research Article

Publication Date

September 30, 2019

Submission Date

March 26, 2019

Acceptance Date

September 11, 2019

Published in Issue

Year 2019 Volume: 40 Number: 3

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

Cited By

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