Araştırma Makalesi

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

Cilt: 7 Sayı: 3 30 Aralık 2022
PDF İndir
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

Destekleyen Kurum

Yok

Proje Numarası

Yok

Teşekkür

Recep Türker'in yüksek lisans tezinden yayınlanmıştır.

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

27 Ekim 2022

Kabul Tarihi

30 Aralık 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 7 Sayı: 3

Kaynak Göster

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, ve 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 (01 Aralık 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 ve R. Türker, “Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals”, TJOS, c. 7, sy 3, ss. 219–230, Ara. 2022, [çevrimiçi]. Erişim adresi: 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 (01 Aralık 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, ve Recep Türker. “Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals”. Turkish Journal of Science, c. 7, sy 3, Aralık 2022, ss. 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]. 01 Aralık 2022;7(3):219-30. Erişim adresi: https://izlik.org/JA35PB98XH