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Dergiler / Turkish Journal of Science / 2022 / Cilt: 7 - Sayı: 3

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

Recep TÜRKER
Havva KAVURMACI ÖNALAN
Sayfa
219–230
Yayın Tarihi
2022-12-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The analysis used in the proofs is fairly elementary and based on the use of Hölder inequality and the power inequality.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We establish some new Generalized Hermite-Hadamard-type inequalities involving generalized fractional integrals for quasi-convex functions.
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Temel Bulgular & Veri:Our results are suitable with the literature.
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Sonuç & Katkı:The analysis used in the proofs is fairly elementary and based on the use of Hölder inequality and the power inequality.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quasi convex functions · Generalized Fractional Integrals · Hölder Inequalities

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.

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Bu Makaleye Atıf Yap

TÜRKER, R., ÖNALAN, H. K. (2022). Generalized Inequalities for Quasi-Convex Functions via Generalized Riemann-Liouville Fractional Integrals. Turkish Journal of Science, Cilt: 7 - Sayı: 3, 219–230. https://ajindex.com/articles/853137

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Kaynakça (14)

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  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.
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  9. Dragomir, S.S., Pecaric, J., and Persson, L.E., Some Inequalities of Hadamard Type. Soochow J. of Math. 21 (1995), 335-341.
  10. Ertuğral, F. Sarıkaya, M.Z., Budak, H., On Hermite-Hadamard Type Inequalities Associated With The Generalized Fractional Integrals. ResearchGate Article (2019). https://www.researchgate.net/publication/334634529.
  11. Gidergelmez, H.F., Akkurt, A., Yıldırım, H., Hermite-Hadamard Type Inequalities for Generalized Fractional Integrals via Strongly Convex Functions. KJM. 7 (2019), 268-273.
  12. Gorenflo R., Mainardi F., Fractional Calculus: Integral and Differential Equations of Fractional Order, Springer Verlag, Wien., (1997), 223-276.
  13. Hadamard, J.: ėtude sur les propri ėtės des fonctions entiėres en particulier dűne fonction considėrėe par Riemann. Journal de mathėmatiques pures et appliquėes, 4e sėrie. 9 (1893), 171-216.
  14. Hussain, R., Ali, A., Latif, A. and Gulshan, G., Some k-Fractional associates of Hermite-Hadamard's Inequality for Quasi-Convex Functions and Applications to Special Means, Fra