Research Article

Integral Inequalities for Different Kinds of Convexity via Classical Inequalities

Volume: 5 Number: 3 December 30, 2020
EN

Integral Inequalities for Different Kinds of Convexity via Classical Inequalities

Abstract

In this study, we obtain some new integral inequalities for different classes of convex functions by using classical inequalities like general Cauchy inequality and reverse Minkowski inequality.

Keywords

References

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  2. M.K. Bakula, J. Peµcaric and M. Ribibic, Companion inequalities to Jensen's inequality for m-convex and (α; m)convex functions, J. Inequal. Pure and Appl. Math., 7 (5) (2006), Article 194.
  3. S.S. Dragomir and G. Toader, Some inequalities for mconvex functions, Studia University Babes Bolyai, Mathematica, 38 (1) (1993), 21-28.
  4. V.G. Mihe¸san, A generalization of the convexity, Seminar of Functional Equations, Approx. and Convex, Cluj-Napoca (Romania) (1993).
  5. G. Toader, Some generalization of the convexity, Proc. Colloq. Approx. Opt., Cluj-Napoca, (1984), 329-338.
  6. E. Set, M. Sardari, M.E. Ozdemir and J. Rooin, On generalizations of the Hadamard inequality for (α; m)convex functions, RGMIA Res. Rep. Coll., 12 (4) (2009), Article 4.
  7. M.E. Özdemir, M. Avcı and E. Set, On some inequalities of Hermite-Hadamard type via m-convexity, Applied Mathematics
  8. G. Toader, On a generalization of the convexity, Mathematica, 30 (53) (1988), 83-87.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 30, 2020

Submission Date

December 2, 2020

Acceptance Date

December 28, 2020

Published in Issue

Year 2020 Volume: 5 Number: 3

APA
Ekinci, A., Akdemir, A. O., & Özdemir, M. E. (2020). Integral Inequalities for Different Kinds of Convexity via Classical Inequalities. Turkish Journal of Science, 5(3), 305-313. https://izlik.org/JA92TA66ZN
AMA
1.Ekinci A, Akdemir AO, Özdemir ME. Integral Inequalities for Different Kinds of Convexity via Classical Inequalities. TJOS. 2020;5(3):305-313. https://izlik.org/JA92TA66ZN
Chicago
Ekinci, Alper, Ahmet Ocak Akdemir, and Muhamet Emin Özdemir. 2020. “Integral Inequalities for Different Kinds of Convexity via Classical Inequalities”. Turkish Journal of Science 5 (3): 305-13. https://izlik.org/JA92TA66ZN.
EndNote
Ekinci A, Akdemir AO, Özdemir ME (December 1, 2020) Integral Inequalities for Different Kinds of Convexity via Classical Inequalities. Turkish Journal of Science 5 3 305–313.
IEEE
[1]A. Ekinci, A. O. Akdemir, and M. E. Özdemir, “Integral Inequalities for Different Kinds of Convexity via Classical Inequalities”, TJOS, vol. 5, no. 3, pp. 305–313, Dec. 2020, [Online]. Available: https://izlik.org/JA92TA66ZN
ISNAD
Ekinci, Alper - Akdemir, Ahmet Ocak - Özdemir, Muhamet Emin. “Integral Inequalities for Different Kinds of Convexity via Classical Inequalities”. Turkish Journal of Science 5/3 (December 1, 2020): 305-313. https://izlik.org/JA92TA66ZN.
JAMA
1.Ekinci A, Akdemir AO, Özdemir ME. Integral Inequalities for Different Kinds of Convexity via Classical Inequalities. TJOS. 2020;5:305–313.
MLA
Ekinci, Alper, et al. “Integral Inequalities for Different Kinds of Convexity via Classical Inequalities”. Turkish Journal of Science, vol. 5, no. 3, Dec. 2020, pp. 305-13, https://izlik.org/JA92TA66ZN.
Vancouver
1.Alper Ekinci, Ahmet Ocak Akdemir, Muhamet Emin Özdemir. Integral Inequalities for Different Kinds of Convexity via Classical Inequalities. TJOS [Internet]. 2020 Dec. 1;5(3):305-13. Available from: https://izlik.org/JA92TA66ZN