Dergiler / Konuralp Journal of Mathematics / 2016 / Cilt: 4 - Sayı: 1

ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

Sayfa
130–139
Yayın Tarihi
2016-04-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, some Hermite-Hadamard-Fejer type integral in- equalities for GA-s convex functions in fractional integral forms are obtained.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, some Hermite-Hadamard-Fejer type integral in- equalities for GA-s convex functions in fractional integral forms are obtained.
📊
Temel Bulgular & Veri:In this paper, some Hermite-Hadamard-Fejer type integral in- equalities for GA-s convex functions in fractional integral forms are obtained.
💡
Sonuç & Katkı:In this paper, some Hermite-Hadamard-Fejer type integral in- equalities for GA-s convex functions in fractional integral forms are obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hermite-Hadamard inequality · Hermite-Hadamard-Fejer inequality · Hadamard fractional integral

Abstract

In this paper, some Hermite-Hadamard-Fejer type integral in- equalities for GA-s convex functions in fractional integral forms are obtained.

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Bu Makaleye Atıf Yap

KUNT, M., İŞCAN, İ. (2016). ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics, Cilt: 4 - Sayı: 1, 130–139. https://ajindex.com/articles/786693

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Kaynakça (12)

  1. L. Fejer, Uberdie Fourierreihen, II, Math. Naturwise. Anz Ungar. Akad., Wiss, 24 (1906), 369-390, (in Hungarian)
  2. J. Hadamard, Etude sur les proprietes des fonctions entieres et en particulier d'une fonction consideree par Riemann, J. Math. Pures Appl., 58 (1893), 171-215. [3] _I. _ Iscan, Hermite-Hadamard-Fejer type inequalities for convex functions via fractional inte- grals, arXiv preprint arXiv:1404.7722 (2014). [4] _I. _ Iscan, Generalization of di erent type integral inequalities for s-convex functions via frac- tional integrals, Applicable Analysis, 2013. doi: 10.1080/00036811.2013.851785. [5] _I. _ Iscan, New general integral inequalities for quasi-geometrically convex functions via frac- tional integrals, J. Inequal. Appl., 2013(491) (2013), 15 pages. [6] _I. _ Iscan, On generalization of di erent type integral inequalities for s-convex functions via fractional integrals, Mathematical Sciences and Applications E-Notes, 2(1) (2014), 55-67
  3. A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional di erential equations, Elsevier, Amsterdam 2006
  4. M. Kunt, _I. _ Iscan, On new inequalities of Hermite-Hadamard-Fejer type for GA-convex func- tions via fractional integrals, RGMIA Research Report Collection, 18(2015), Article 108, 12 pp
  5. M. A. Latif, S. S. Dragomir and E. Momaniat, Some Fejer type integral inequalities for geometrically-arithmetically-convex functions with applications, RGMIA Research Report Collection, 18(2015), Article 25, 18 pp
  6. C. P. Niculescu, Convexity according to the geometric mean, Math. Inequal. Appl. 3 (2) (2000), 155-167
  7. C. P. Niculescu, Convexity according to means, Math. Inequal. Appl. 6 (4) (2003), 571-579
  8. M.Z. Sarkaya, On new Hermite Hadamard Fejer type integral inequalities, Stud. Univ. Babes- Bolyai Math. 57(3) (2012), 377-386
  9. Erhan Set, _I. _ Iscan, M. Zeki Sarikaya, M. Emin Ozdemir, On new inequalities of Hermite- Hadamard-Fejer type for convex functions via fractional integrals, Applied Mathematics and Computation, 259 (2015) 875-881
  10. Y. Shuang, H. P. Yin, F. Qi, Hermite-Hadamard type integral inequalities for geometrically- arithmetically s-convex functions, Analysis (Munich) 33 (2) (2013) 197-208
  11. K.-L. Tseng, G.-S. Yang and K.-C. Hsu, Some inequalities for di erentiable mappings and applications to Fejer inequality and weighted trapezoidal formula, Taiwanese journal of Math- ematics, 15(4) (2011), 1737-1747
  12. J. Wan