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Year 2021, Volume: 7 Issue: 1, 12 - 18, 30.05.2021

Merve Nur Çakaloğlu Sinan Aslan Ahmet Ocak Akdemir

https://izlik.org/JA22GU32JW

Abstract

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.

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

Year 2021, Volume: 7 Issue: 1, 12 - 18, 30.05.2021

Merve Nur Çakaloğlu Sinan Aslan Ahmet Ocak Akdemir

https://izlik.org/JA22GU32JW

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

Hadamard type inequalities Hölder inequality (ℎ, 𝑚) −convex functions

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.
There are 3 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Merve Nur Çakaloğlu This is me

Sinan Aslan This is me

Ahmet Ocak Akdemir 0000-0003-2466-0508

Publication Date May 30, 2021
IZ https://izlik.org/JA22GU32JW
Published in Issue Year 2021 Volume: 7 Issue: 1

Cite

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