Dergiler / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2017 / Cilt: 7 - Sayı: 2

On the Hermite-Hadamard-Fejer-type inequalities for co-ordinated convex functions via fractional integrals

Sayfa
205–215
Yayın Tarihi
2022-10-11
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results presented herewould provide extensions of those given in earlier works.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, using Riemann-Liouville integral operators, we establishnew fractional integral inequalities of Hermite-Hadamard-Fejer type for coordinatedconvex functions on a rectangle of R².
📊
Temel Bulgular & Veri:In this paper, using Riemann-Liouville integral operators, we establishnew fractional integral inequalities of Hermite-Hadamard-Fejer type for coordinatedconvex functions on a rectangle of R².
💡
Sonuç & Katkı:The results presented herewould provide extensions of those given in earlier works.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, using Riemann-Liouville integral operators, we establishnew fractional integral inequalities of Hermite-Hadamard-Fejer type for coordinatedconvex functions on a rectangle of R². The results presented herewould provide extensions of those given in earlier works.

🔖

Bu Makaleye Atıf Yap

YALDIZ, H., DAHMANİ, Z., SARIKAYA, M. Z. (2022). On the Hermite-Hadamard-Fejer-type inequalities for co-ordinated convex functions via fractional integrals. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 7 - Sayı: 2, 205–215. https://ajindex.com/articles/440660

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. Alomari, M., Darus, M., Co-ordinated s-convex function in the first sense with some Hadamard-type inequalities, Int. J. Contemp. Math. Sciences, 3 (32),1557-1567 (2008)
  2. Alomari, M., Darus, M., On the Hadamard's inequality for log-convex functions on the coordinates, J. of Inequal. and Appl, Article ID 283147, 13 pages,(2009)
  3. Alomari, M., Darus, M., Fejer inequality for double integrals, Facta Universitatis (Nis) Ser. Math. Inform., 24, 15-28(2009)
  4. Kilbas, A.A., Srivastava H.M., Trujillo, J.J., Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204, Elsevier Sci. B.V., Amsterdam, (2006)
  5. Belarbi, S., Dahmani, Z., On some new fractional integral inequalities, J. Ineq. Pure and Appl. Math., 10(3), Art. 86, (2009)
  6. Dahmani, Z., New inequalities in fractional integrals, International Journal of Nonlinear Scinece, 9(4), 493- 497, (2010)
  7. Dahmani, Z., On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1(1), 51-58, (2010)
  8. Dahmani, Z., Tabharit, L., Taf, S., Some fractional integral inequalities, Nonl. Sci. Lett. A, 1(2), 155-160, (2010)
  9. Dahmani, Z., Tabharit, L., Taf, S., New generalizations of Gr¨uss inequality usin Riemann-Liouville fractional integrals, Bull. Math. Anal. Appl., 2(3), 93-99, (2010)
  10. Dragomir, S.S., On Hadamard's inequality for convex functions on the co-ordinates in arectangle from the plane, Taiwanese Journal of Mathematics, 4, 775-788, (2001)
  11. Fej´er, L., Uberdie Fourierreihen, II, Math. Naturwise. Anz Ungar. Akad., Wiss, 24, 369-390(1906), (in Hungarian)
  12. Gorenflo, R., Mainardi, F., Fractional calculus: integral and differential equations of fractional order, Springer Verlag, Wien, 223-276, (1997)
  13. Hadamard, J., Etude sur les proprietes des fonctions entieres et en particulier d'une fonction considree par, Riemann, J. Math. Pures. et Appl. 58, 171-215,(1893). [14] scan, I., Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals, 2014, arXiv:1404.7722v1
  14. Latif, M.A., Alomari, M., Hadamard-type inequalities for product two convex functions on the co-ordinetes, Int. Math. Forum, 4(47), 2327-2338,(2009)
  15. Latif, M.A., Alomari, M., On the Hadamard-type inequalities for h-convex functions on the co-ordinetes, Int. J. of Math. Analysis, 3(33), 1645-1656,(2009)
  16. Latif, M.A., Hussain, S., New inequalities of Ostrowski type for co-ordineted convex