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
- AZPETIA, A.G., 1994. Convex function on the Hadamard Inequaliy. Rev. Colombiana Mat., 28: 7-12
- BECKENBACH, E.F., 1948. Convex fonction. Bulletin of the American Mathematical Society, 54:439-460
- 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
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