Araştırma Makalesi

Katugampola Fractional Integrals within the Class of Convex Functions

Cilt: 3 Sayı: 1 31 Aralık 2018
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Katugampola Fractional Integrals within the Class of Convex Functions

Öz

The aim of this paper is to the Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value is s-convex through the instrument of generalized Katugampola fractional integrals.

Anahtar Kelimeler

Kaynakça

  1. W.W. Breckner, Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer funktionen in topologischen linearen Raumen, Pupl. Inst. Math. 23(1978), 13-20.
  2. F. Chen, A note on the Hermite-Hadamard inequality for convex functions on the coordinates, J. of Math. Inequalities, 8(4), (2014) 915-923.
  3. H. Chen, U.N. Katugampola, Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for generalized fractional integrals, J.Math. Anal. Appl., 446 (2017), 1274-1291.
  4. G. Cristescua, Boundaries of Katugampola fractional integrals within the class of convex functions, https://www.researchgate.net/publication/313161140.
  5. A. Erdélyi, On fractional integration and its application to the theory of Hankel transforms, The Quarterly Journal of Mathematics, Oxford, Second Series, 11(1940), 293-303.
  6. R. Gorenflo and F. Mainardi, Fractinal calculus: integral and differential equations of fractional order, Springer Verlag, Wien (1997), 223-276.
  7. J. Hadamard, Etude sur les proprietes des fonctions entieres et en particulier d’une fonction considree par, Riemann, J. Math. Pures. et Appl. 58 (1893), 171-215.
  8. H. Hudzik and L. Maligranda, Some remarks on convex functions, Acquationes Math. 48 (1994), 100-111.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

31 Aralık 2018

Gönderilme Tarihi

23 Kasım 2018

Kabul Tarihi

27 Aralık 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 3 Sayı: 1

Kaynak Göster

APA
Yaldız, H., & Akdemir, A. O. (2018). Katugampola Fractional Integrals within the Class of Convex Functions. Turkish Journal of Science, 3(1), 40-50. https://izlik.org/JA96PN59LF
AMA
1.Yaldız H, Akdemir AO. Katugampola Fractional Integrals within the Class of Convex Functions. TJOS. 2018;3(1):40-50. https://izlik.org/JA96PN59LF
Chicago
Yaldız, Hatice, ve Ahmet Ocak Akdemir. 2018. “Katugampola Fractional Integrals within the Class of Convex Functions”. Turkish Journal of Science 3 (1): 40-50. https://izlik.org/JA96PN59LF.
EndNote
Yaldız H, Akdemir AO (01 Aralık 2018) Katugampola Fractional Integrals within the Class of Convex Functions. Turkish Journal of Science 3 1 40–50.
IEEE
[1]H. Yaldız ve A. O. Akdemir, “Katugampola Fractional Integrals within the Class of Convex Functions”, TJOS, c. 3, sy 1, ss. 40–50, Ara. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA96PN59LF
ISNAD
Yaldız, Hatice - Akdemir, Ahmet Ocak. “Katugampola Fractional Integrals within the Class of Convex Functions”. Turkish Journal of Science 3/1 (01 Aralık 2018): 40-50. https://izlik.org/JA96PN59LF.
JAMA
1.Yaldız H, Akdemir AO. Katugampola Fractional Integrals within the Class of Convex Functions. TJOS. 2018;3:40–50.
MLA
Yaldız, Hatice, ve Ahmet Ocak Akdemir. “Katugampola Fractional Integrals within the Class of Convex Functions”. Turkish Journal of Science, c. 3, sy 1, Aralık 2018, ss. 40-50, https://izlik.org/JA96PN59LF.
Vancouver
1.Hatice Yaldız, Ahmet Ocak Akdemir. Katugampola Fractional Integrals within the Class of Convex Functions. TJOS [Internet]. 01 Aralık 2018;3(1):40-5. Erişim adresi: https://izlik.org/JA96PN59LF