Research Article

Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions

Volume: 7 Number: 1 May 30, 2021
EN

Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions

Abstract

In this article, firstly, basic information on convex function types and classical inequalities is given. Then, some Hadamard type inequalities are proved by using (ℎ, 𝑚) −convex functions with the help of an integral identity that has the potential to generate Hadamard type inequalities.

Keywords

References

  1. AZPETIA, A.G., 1994. Convex function on the Hadamard Inequaliy. Rev. Colombiana Mat., 28: 7-12
  2. BECKENBACH, E.F., 1948. Convex fonction. Bulletin of the American Mathematical Society, 54:439-460
  3. BRECKNER W. W., 1978. Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer funktionenin topologischen linearen Raumen, Pupl. Inst. Math. 23, 13-20. DRAGOMIR, S.S. and PEARCE, C.E.M., 1998. Quasi-convex functions and Hadamard’s inequality. Bull. Austral. Math. Soc., 57, 377-385. DRAGOMIR S.S., Fitzpatrick, S. 1999. The Hadamard’s inequality for s-convex functions in the second sense. Demonstratio Mathematica, 32(4): 687–696.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Merve Nur Çakaloğlu This is me
Türkiye

Sinan Aslan This is me
Türkiye

Publication Date

May 30, 2021

Submission Date

April 10, 2021

Acceptance Date

May 16, 2021

Published in Issue

Year 2021 Volume: 7 Number: 1

APA
Çakaloğlu, M. N., Aslan, S., & Akdemir, A. O. (2021). Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions. Eastern Anatolian Journal of Science, 7(1), 12-18. https://izlik.org/JA22GU32JW
AMA
1.Çakaloğlu MN, Aslan S, Akdemir AO. Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions. Eastern Anatolian Journal of Science. 2021;7(1):12-18. https://izlik.org/JA22GU32JW
Chicago
Çakaloğlu, Merve Nur, Sinan Aslan, and Ahmet Ocak Akdemir. 2021. “Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions”. Eastern Anatolian Journal of Science 7 (1): 12-18. https://izlik.org/JA22GU32JW.
EndNote
Çakaloğlu MN, Aslan S, Akdemir AO (May 1, 2021) Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions. Eastern Anatolian Journal of Science 7 1 12–18.
IEEE
[1]M. N. Çakaloğlu, S. Aslan, and A. O. Akdemir, “Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions”, Eastern Anatolian Journal of Science, vol. 7, no. 1, pp. 12–18, May 2021, [Online]. Available: https://izlik.org/JA22GU32JW
ISNAD
Çakaloğlu, Merve Nur - Aslan, Sinan - Akdemir, Ahmet Ocak. “Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions”. Eastern Anatolian Journal of Science 7/1 (May 1, 2021): 12-18. https://izlik.org/JA22GU32JW.
JAMA
1.Çakaloğlu MN, Aslan S, Akdemir AO. Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions. Eastern Anatolian Journal of Science. 2021;7:12–18.
MLA
Çakaloğlu, Merve Nur, et al. “Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions”. Eastern Anatolian Journal of Science, vol. 7, no. 1, May 2021, pp. 12-18, https://izlik.org/JA22GU32JW.
Vancouver
1.Merve Nur Çakaloğlu, Sinan Aslan, Ahmet Ocak Akdemir. Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions. Eastern Anatolian Journal of Science [Internet]. 2021 May 1;7(1):12-8. Available from: https://izlik.org/JA22GU32JW