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

Merve Nur Çakaloğlu Sinan Aslan Ahmet Ocak Akdemir

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

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
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.
AMA Çakaloğlu MN, Aslan S, Akdemir AO. Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions. Eastern Anatolian Journal of Science. May 2021;7(1):12-18.
Chicago Çakaloğlu, Merve Nur, Sinan Aslan, and Ahmet Ocak Akdemir. “Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions”. Eastern Anatolian Journal of Science 7, no. 1 (May 2021): 12-18.
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 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, 2021.
ISNAD Çakaloğlu, Merve Nur et al. “Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions”. Eastern Anatolian Journal of Science 7/1 (May2021), 12-18.
JAMA 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, 2021, pp. 12-18.
Vancouver Çakaloğlu MN, Aslan S, Akdemir AO. Hadamard Type Integral Inequalities for Differentiable (𝒉, 𝒎) −Convex Functions. Eastern Anatolian Journal of Science. 2021;7(1):12-8.