Research Article

Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals

Volume: 7 Number: 3 December 30, 2022
EN

Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals

Abstract

We establish some new Generalized Hermite-Hadamard-type inequalities involving generalized fractional integrals for quasi-convex functions. Our results are suitable with the literature. The analysis used in the proofs is fairly elementary and based on the use of Hölder inequality and the power inequality.

Keywords

Supporting Institution

Yok

Project Number

Yok

Thanks

Recep Türker'in yüksek lisans tezinden yayınlanmıştır.

References

  1. Ali, A., Gulshan, G., Hussain, R., Latif, A. Muddassar, M. and Park, J., Generalized Inequalities of the type of Hermite-Hadamard-Fejer with Quasi-Convex Functions by way of k-Fractional Derivatives, J. Computational Analysis and applications, 22(7) (2017), 1208-1219.
  2. Alomari, M., Darus, M., Dragomir, S.S., Inequalities of Hermite-Hadamard's type for functions whose derivatives absolute values are quasi-convex. RGMIA Res. Rep. Coll., 12: Supplement, Article 14 2009, 1-11.
  3. Budak, H., Ertuğral, F., Sarıkaya, M.Z., New Generalization of Hermite-Hadamard Type Inequalities via Generalized Fractional Integrals. ResearchGate Article (2017). https://www.researchgate.net/publication/321760465.
  4. Belarbi S., Dahmani Z., On some new fractional integral inequalities, J. Ineq. Pure Appl. Math., 10(3) (2009), Art. 86.
  5. Carter, M., Brunt, B.V.: The Lebesgue-Stieljies Integral: A Practical Introduction. New York, Springer (2000).
  6. Dahmani Z., New inequalities in fractional integrals, Int. J. Nonlinear Sci., 9(4) (2010), 493-497.
  7. Dragomir, S.S, Agarwal, R.P.: Two Inequalities for Di erentiable Mappings and Applications To Special Meansof Real Numbers and to Trapezoidal Formula. Appl. Math. Lett. 11 (1999), 91-95.
  8. Dragomir, S.S., Pearce, C.E.M., Quasi-Convex Functions and Hadamard's Inequality. B. Aust. Math. Soc. 57 (1998), 377-385.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 30, 2022

Submission Date

October 27, 2022

Acceptance Date

December 30, 2022

Published in Issue

Year 2022 Volume: 7 Number: 3

APA
Kavurmacı Önalan, H., & Türker, R. (2022). Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals. Turkish Journal of Science, 7(3), 219-230. https://izlik.org/JA35PB98XH
AMA
1.Kavurmacı Önalan H, Türker R. Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals. TJOS. 2022;7(3):219-230. https://izlik.org/JA35PB98XH
Chicago
Kavurmacı Önalan, Havva, and Recep Türker. 2022. “Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals”. Turkish Journal of Science 7 (3): 219-30. https://izlik.org/JA35PB98XH.
EndNote
Kavurmacı Önalan H, Türker R (December 1, 2022) Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals. Turkish Journal of Science 7 3 219–230.
IEEE
[1]H. Kavurmacı Önalan and R. Türker, “Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals”, TJOS, vol. 7, no. 3, pp. 219–230, Dec. 2022, [Online]. Available: https://izlik.org/JA35PB98XH
ISNAD
Kavurmacı Önalan, Havva - Türker, Recep. “Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals”. Turkish Journal of Science 7/3 (December 1, 2022): 219-230. https://izlik.org/JA35PB98XH.
JAMA
1.Kavurmacı Önalan H, Türker R. Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals. TJOS. 2022;7:219–230.
MLA
Kavurmacı Önalan, Havva, and Recep Türker. “Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals”. Turkish Journal of Science, vol. 7, no. 3, Dec. 2022, pp. 219-30, https://izlik.org/JA35PB98XH.
Vancouver
1.Havva Kavurmacı Önalan, Recep Türker. Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals. TJOS [Internet]. 2022 Dec. 1;7(3):219-30. Available from: https://izlik.org/JA35PB98XH