Budak, Huseyin, Ozcelik, Kubilay, Kashuri, Artion, Ali, Muhammad Aamir, Zhang, Zhiyue. (1401). On generalized fractional inequalities for functions of bounded variation with two variables. هنرهای کاربردی, 13(2), 1165-1182. doi: 10.22075/ijnaa.2022.25891.3152
Huseyin Budak; Kubilay Ozcelik; Artion Kashuri; Muhammad Aamir Ali; Zhiyue Zhang. "On generalized fractional inequalities for functions of bounded variation with two variables". هنرهای کاربردی, 13, 2, 1401, 1165-1182. doi: 10.22075/ijnaa.2022.25891.3152
Budak, Huseyin, Ozcelik, Kubilay, Kashuri, Artion, Ali, Muhammad Aamir, Zhang, Zhiyue. (1401). 'On generalized fractional inequalities for functions of bounded variation with two variables', هنرهای کاربردی, 13(2), pp. 1165-1182. doi: 10.22075/ijnaa.2022.25891.3152
Budak, Huseyin, Ozcelik, Kubilay, Kashuri, Artion, Ali, Muhammad Aamir, Zhang, Zhiyue. On generalized fractional inequalities for functions of bounded variation with two variables. هنرهای کاربردی, 1401; 13(2): 1165-1182. doi: 10.22075/ijnaa.2022.25891.3152

On generalized fractional inequalities for functions of bounded variation with two variables

International Journal of Nonlinear Analysis and Applications
مقاله 96، دوره 13، شماره 2، مهر 2022، صفحه 1165-1182    اصل مقاله (424.76 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25891.3152
نویسندگان
Huseyin Budak* 1؛ Kubilay Ozcelik2؛ Artion Kashuri3؛ Muhammad Aamir Ali4؛ Zhiyue Zhang4
1Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey
2Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey
3Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania
4School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China
چکیده
n this paper, we firstly obtain some identities via generalized fractional integrals which generalize some important fractional integrals such as the Riemann-Liouville fractional integrals, the Hadamard fractional integrals, etc. Then by utilizing these equalities we establish some Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. Moreover, we give some inequalities involving Hadamard fractional integrals as special cases of our main results.
کلیدواژه‌ها
Function of bounded variation؛ Ostrowski inequalities؛ generalized fractional integral
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