On some integral inequalities for (k,h)−Riemann-Liouville fractional integral
Abstract
In this study, giving the definition of fractional integral, which are with the help of synchronous and monotonic function, some fractional integral inequalities have established.
Keywords
Kaynakça
- Anastassiou GA, Hooshmandasl MR, Ghasemi A, Moftakharzadeh F. Montgomery identities for fractional integrals and related fractional inequalities, J. Inequal. Pure Appl. Math., 10(4)(2009), 1-6.
- Anastassiou GA. Fractional Differentiation Inequalities, Springer Science, LLC, 2009.
- Belarbi S, Dahmani Z. On some new fractional integral inequalities, J. Inequal. Pure Appl. Math., 10(3)(2009), 1-12.
- Dahmani Z. New inequalities in fractional integrals, International Journal of Nonlinear Sciences, 9(4)(2010), 493-497.
- Dahmani Z. On Minkowski and Hermite-Hadamad integral inequalities via fractional integration, Ann. Funct. Anal., 1(1)(2010, 51-58.
- Dragomir SS. A generalization of Gruss’s inequality in inner product spaces and applications, J.Math. Annal. Appl., 237(1)(1999), 74-82.
- Mitrinovic DS, Pecaric JE, Fink AM. Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993.
- Pachpatte BG. On multidimensional Gruss type integral inequalities, J. Inequal. Pure Appl. Math., 32 (2002), 1-15. Qi F, Li AJ, Zhao WZ, Niu DW, Cao J. Extensions of several integral inequalities, J. Inequal. Pure Appl. Math., 7(3)(2006), 1-6.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Abdullah Akkurt
*
Türkiye
M. Esra Yildirim
Bu kişi benim
Türkiye
Huseyin Yildirim Yildirim
Bu kişi benim
Türkiye
Yayımlanma Tarihi
1 Mart 2016
Gönderilme Tarihi
4 Ocak 2016
Kabul Tarihi
24 Mart 2016
Yayımlandığı Sayı
Yıl 1970 Cilt: 4 Sayı: 2