Fractional integral inequalities for different functions

Cilt: 3 Sayı: 2 19 Ocak 2015
  • Çetin Yildiz
  • M. Emin Özdemir
  • Havva Kavurmacı Önelan
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Fractional Integral Inequalities for Different Functions

Abstract

In this paper, we establish several inequalities for different convex mappings that are connected with the Riemann-Liouvillefractional integrals. Our results have some relationships with certain integral inequalities in the literature

Keywords

Kaynakça

  1. E.K. Godunova and V.I. Levin, Neravenstra dlja funccii sirokogo klassa soderzascego vypuklye, monotonnye i nekotorye drugie vidy funkaii, Vycislitel Mat. i Mt. Fiz., Mezvuzov Sb. Nauc. Trudov. MPGI, Moscow, 1985, 138-142.
  2. S. Belarbi and Z. Dahmani, On some new fractional integral inequalities, J. Ineq. Pure and Appl. Math., 10(3) (2009), Art. 86.
  3. M. Bombardelli and S. Varoˇsanec, Properties of h−convex functions related to the Hermite-Hadamard-Fej´er inequalities, Computers and Mathematics with Applications, 58 (2009), 1869-1877.
  4. P. Burai and A. H´azy, On approximately h−convex functions, Journal of Convex Analysis, 18 (2) (2011).
  5. Z. Dahmani, New inequalities in fractional integrals, International Journal of Nonlinear Science, 9(4) (2010), 493-497.
  6. Z. Dahmani, On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1(1) (2010), 51
  7. Z. Dahmani and L. Tabharit, S. Taf, Some fractional integral inequalities, Nonl. Sci. Lett. A., 1(2) (2010), 155-160.
  8. Z. Dahmani, L. Tabharit and S. Taf, New generalizations of Gr¨uss inequality using Riemann-Liouville fractional integrals, Bull. Math. Anal. Appl., 2(3) (2010), 93-99.

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Çetin Yildiz Bu kişi benim

M. Emin Özdemir Bu kişi benim

Havva Kavurmacı Önelan Bu kişi benim

Yayımlanma Tarihi

19 Ocak 2015

Gönderilme Tarihi

13 Mart 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2015 Cilt: 3 Sayı: 2

Kaynak Göster

APA
Yildiz, Ç., Özdemir, M. E., & Önelan, H. K. (2015). Fractional integral inequalities for different functions. New Trends in Mathematical Sciences, 3(2), 110-117. https://izlik.org/JA39US62HR
AMA
1.Yildiz Ç, Özdemir ME, Önelan H K. Fractional integral inequalities for different functions. New Trends in Mathematical Sciences. 2015;3(2):110-117. https://izlik.org/JA39US62HR
Chicago
Yildiz, Çetin, M. Emin Özdemir, ve Havva Kavurmacı Önelan. 2015. “Fractional integral inequalities for different functions”. New Trends in Mathematical Sciences 3 (2): 110-17. https://izlik.org/JA39US62HR.
EndNote
Yildiz Ç, Özdemir ME, Önelan H K (01 Ocak 2015) Fractional integral inequalities for different functions. New Trends in Mathematical Sciences 3 2 110–117.
IEEE
[1]Ç. Yildiz, M. E. Özdemir, ve H. K. Önelan, “Fractional integral inequalities for different functions”, New Trends in Mathematical Sciences, c. 3, sy 2, ss. 110–117, Oca. 2015, [çevrimiçi]. Erişim adresi: https://izlik.org/JA39US62HR
ISNAD
Yildiz, Çetin - Özdemir, M. Emin - Önelan, Havva Kavurmacı. “Fractional integral inequalities for different functions”. New Trends in Mathematical Sciences 3/2 (01 Ocak 2015): 110-117. https://izlik.org/JA39US62HR.
JAMA
1.Yildiz Ç, Özdemir ME, Önelan H K. Fractional integral inequalities for different functions. New Trends in Mathematical Sciences. 2015;3:110–117.
MLA
Yildiz, Çetin, vd. “Fractional integral inequalities for different functions”. New Trends in Mathematical Sciences, c. 3, sy 2, Ocak 2015, ss. 110-7, https://izlik.org/JA39US62HR.
Vancouver
1.Çetin Yildiz, M. Emin Özdemir, Havva Kavurmacı Önelan. Fractional integral inequalities for different functions. New Trends in Mathematical Sciences [Internet]. 01 Ocak 2015;3(2):110-7. Erişim adresi: https://izlik.org/JA39US62HR