Certain Weighted Fractional Integral Inequalities for Convex Functions
Yıl: 2023 Cilt: 4 Sayı: 2 Sayfa Aralığı: 66 - 76 Metin Dili: İngilizce DOI: 10.54974/fcmathsci.1146523 İndeks Tarihi: 07-08-2023
Certain Weighted Fractional Integral Inequalities for Convex Functions
Öz: In this study, by using the monotonicity properties of functions, several inequalities for convex functions are obtained with the help of a weighted fractional integral operator which provides a function f to be integrated in fractional order with respect to another function. It is also seen that the results obtained were generalizations of the previous results presented.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Liu W.J., Ngo Q.A., Huy V.N., Several interesting integral inequalities, Journal of Mathematical Inequalities, 3, 201-212, 2009.
- [2] Mitrinović D.S., Pečarić J.E., Fink A.M., Classical and New Inequalities in Analysis, Kluwer Academic Publishers, 1993.
- [3] Jarad F., Abdeljawad T., Shah K., On the weighted fractional operators of a function with respect to another function, Fractals, 28(08), 20040011, 2020.
- [4] Osler T.J., The fractional derivative of a composite function, SIAM Journal on Mathematical Analysis, 1, 288-293, 1970.
- [5] Almeira R., A Caputo fractional derivative of a function with respect to another function, Communi- cations in Nonlinear Science and Numerical Simulation, 44, 460-481, 2017.
- [6] Kilbas A.A., Hadamard-type fractional calculus, Journal of the Korean Mathematical Society, 38, 1191-1204, 2001.
- [7] Ngo Q.A., Thang D.D., Dat T.T., Tuan D.A., Notes on an integral inequality, Journal of Inequalities in Pure and Applied Mathematics, 7(4), 120, 2006.
- [8] Liu W.J., Cheng G.S., Li C.C., Further development of an open problem concerning an integral inequality, Journal of Inequalities in Pure and Applied Mathematics, 9(1), 14, 2008.
- [9] Dahmani Z., A note on some new fractional results involving convex functions, Acta Mathematica Universitatis Comenianae, LXXXI, 241-246, 2012.
- [10] Rahman G., Nisar K.S., Abdeljawad T., Ullah S., Certain fractional proportional integral inequalities via convex functions, Mathematics, 8, 222, 2020.
- [11] Rahman G., Nisar K.S., Abdeljawad T., Tempered fractional integral inequalities for convex functions, Mathematics, 8(4), 500, 2020.
- [12] Rahman G., Abdeljawad T., Jarad F., Khan A., Nisar K.S., Certain inequalities via generalized proportional Hadamard fractional integral operators, Advances in Differential Equations, 2019:454, 2019.
| APA | Yıldız Ç, Gürbüz M (2023). Certain Weighted Fractional Integral Inequalities for Convex Functions. , 66 - 76. 10.54974/fcmathsci.1146523 |
| Chicago | Yıldız Çetin,Gürbüz Mustafa Certain Weighted Fractional Integral Inequalities for Convex Functions. (2023): 66 - 76. 10.54974/fcmathsci.1146523 |
| MLA | Yıldız Çetin,Gürbüz Mustafa Certain Weighted Fractional Integral Inequalities for Convex Functions. , 2023, ss.66 - 76. 10.54974/fcmathsci.1146523 |
| AMA | Yıldız Ç,Gürbüz M Certain Weighted Fractional Integral Inequalities for Convex Functions. . 2023; 66 - 76. 10.54974/fcmathsci.1146523 |
| Vancouver | Yıldız Ç,Gürbüz M Certain Weighted Fractional Integral Inequalities for Convex Functions. . 2023; 66 - 76. 10.54974/fcmathsci.1146523 |
| IEEE | Yıldız Ç,Gürbüz M "Certain Weighted Fractional Integral Inequalities for Convex Functions." , ss.66 - 76, 2023. 10.54974/fcmathsci.1146523 |
| ISNAD | Yıldız, Çetin - Gürbüz, Mustafa. "Certain Weighted Fractional Integral Inequalities for Convex Functions". (2023), 66-76. https://doi.org/10.54974/fcmathsci.1146523 |
| APA | Yıldız Ç, Gürbüz M (2023). Certain Weighted Fractional Integral Inequalities for Convex Functions. Fundamentals of contemporary mathematical sciences (Online), 4(2), 66 - 76. 10.54974/fcmathsci.1146523 |
| Chicago | Yıldız Çetin,Gürbüz Mustafa Certain Weighted Fractional Integral Inequalities for Convex Functions. Fundamentals of contemporary mathematical sciences (Online) 4, no.2 (2023): 66 - 76. 10.54974/fcmathsci.1146523 |
| MLA | Yıldız Çetin,Gürbüz Mustafa Certain Weighted Fractional Integral Inequalities for Convex Functions. Fundamentals of contemporary mathematical sciences (Online), vol.4, no.2, 2023, ss.66 - 76. 10.54974/fcmathsci.1146523 |
| AMA | Yıldız Ç,Gürbüz M Certain Weighted Fractional Integral Inequalities for Convex Functions. Fundamentals of contemporary mathematical sciences (Online). 2023; 4(2): 66 - 76. 10.54974/fcmathsci.1146523 |
| Vancouver | Yıldız Ç,Gürbüz M Certain Weighted Fractional Integral Inequalities for Convex Functions. Fundamentals of contemporary mathematical sciences (Online). 2023; 4(2): 66 - 76. 10.54974/fcmathsci.1146523 |
| IEEE | Yıldız Ç,Gürbüz M "Certain Weighted Fractional Integral Inequalities for Convex Functions." Fundamentals of contemporary mathematical sciences (Online), 4, ss.66 - 76, 2023. 10.54974/fcmathsci.1146523 |
| ISNAD | Yıldız, Çetin - Gürbüz, Mustafa. "Certain Weighted Fractional Integral Inequalities for Convex Functions". Fundamentals of contemporary mathematical sciences (Online) 4/2 (2023), 66-76. https://doi.org/10.54974/fcmathsci.1146523 |
