پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 677 |
| تعداد مقالات | 9,872 |
| تعداد مشاهده مقاله | 70,008,192 |
| تعداد دریافت فایل اصل مقاله | 49,285,455 |
Inequalities for $tgs$-convex functions via some conformable fractional integrals | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 425-436 اصل مقاله (370.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.19752.2098 | ||
| نویسندگان | ||
| Naila Mehreen* 1؛ Matloob Anwar2 | ||
| 1School of Natural Sciences, National University of Sciences and Technology, sector H-12, Islamabad, Pakistan | ||
| 2School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan. | ||
| تاریخ دریافت: 19 بهمن 1398، تاریخ بازنگری: 17 اردیبهشت 1399، تاریخ پذیرش: 19 اردیبهشت 1399 | ||
| چکیده | ||
| In this research article, we establish several Hermite-Hadamard type inequalities for tgs-convex functions via conformable fractional integrals and new fractional conformable integral operators. | ||
| کلیدواژهها | ||
| Hermite-Hadamard inequalities؛ Conformable fractional integral؛ new fractional conformable integral operators | ||
| مراجع | ||
|
[1] T. Abdeljawad, On confermable fractional calculus, J. Comput. Appl. Math. 279 (2015) 57–66. [2] G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen, Generalized convexity and inequalities, J. Math. Anal. Appl. 335(2) (2007) 1294–1308. [3] M. Avci, H. Kavurmaci and M. E. Ozdemir, New inequalities of Hermite-Hadamard type via s-convex functions in the second sense with applications, Appl. Math. Comput. 217 (2011) 5171—5176. [4] G. Farid, A Treatment of the Hadamard inequality due to m-convexity via generalized fractional integral, J. Fract. Calc. Appl. 9(1) (2018) 8–14. [5] G. Farid, Hadamard and Fej´er-Hadamard inequalities for generalized fractional integral involving special functions, Konuralp J. Math. 4(1) (2016) 108–113. [6] G. Farid, A. Ur. Rehman and S. Mehmood, Hadamard and Fej´er-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function, J. Math. Comput. Sci. 8(5) (2018) 630–64. [7] Z. B. Fang and R. Shi, On the (p, h)-convex function and some integral inequalities, J. Inequal. Appl. 2014 (2014) p. 45. [8] J. Hadamard, Etude sur les propri´et´es des fonctions enti`eres et en particulier d’une fonction consid´er´ee par ´ Riemann, J. Math. Pures Appl. (1893) 171–215. [9] Ch. Hermite, Sur deux limites d’une in´tegrale ´denie, Mathesis 3 (1883) 82. [10] F. Jarad, E. Ugurlu, T. Abdeljawad and D. Baleanu, On a new class of fractional operators, Adv. Difference Equ. 2017 (2017). [11] S. M. Kang, G. Farid, W. Nazeer and S. Mehmood, (h, m)-convex functions and associated fractional Hadamard and Fej´er-Hadamard inequalities via an extended generalized Mittag-Leffler function, J. Inequal. Appl. 2019 (2019) p. 78. [12] A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential equations, Elsevier Science B. V., Amsterdam, 2006. [13] S. Mehmood, G. Farid, K. A. Khan and M. Yussouf, New fractional Hadamard and Fej´er-Hadamard inequalities associated with exponentially (h, m)-convex functions, Eng. Appl. Sci. Lett. 3(2) (2020) 9–18. [14] S. Mehmood, G. Farid, K. A. Khan and M. Yussouf, New Hadamard and Fej´er-Hadamard fractional inequalities for exponentially m-convex function, Eng. Appl. Sci. Lett. 3(1) (2020) 45–55. [15] N. Mehreen and M. Anwar, Hermite-Hadamard type inequalities via exponentially (p, h)-convex functions. IEEE Access, 8 (2020) 37589–37595 [16] N. Mehreen and M. Anwar, Hermite-Hadamard and Hermite-Hadamard-Fej´er type inequalities for p-convex functions via conformable fractional integrals, J. Inequal. Appl. 2020 (2020) p. 107. [17] N. Mehreen and M. Anwar, Hermite-Hadamard and Hermite-Hadamard-Fej´er type inequalities for p-convex functions via new fractional conformable integral operators, J. Math. Compt. Sci. 19 (2019) 230–240. [18] N. Mehreen and M. Anwar, Hermite-Hadamard type inequalities via exponentially p-convex functions and exponentially s-convex functions in second sense with applications, J. Inequal. Appl. 2019 (2019), p. 92. [19] N. Mehreen and M. Anwar, Integral inequalities for some convex functions via generalized fractional integrals, J. Inequal. Appl. 2018 (2018) p. 208. [20] N. Mehreen and M. Anwar, Some inequalities via ψ-Riemann-Liouville fractional integrals, AIMS Math. 4(5) (2019) 1403–1415. [21] N. Mehreen and M. Anwar, On some Hermite-Hadamard type inequalities for tgs-convex functions via generalized fractional integrals, Adv. Differnce Equ. 2020 (2020) p. 6. [22] I. Iscan, Hermite-Hadamard type inequalities for harmonically convex functions, Hacet. J. Math. Stat. 43(6) (2014) 935–942. [23] E. Set, M. Z. Sarikaya, A. G¨ozpnar, Some Hermite-Hadamard type inequalities for convex functions via conformable fractional integrals and related inequalities, preprint, 26 (2016) 221–229. [24] M. Tunc, E. Gov, U. S¸anal, On tgs-convex function and their inequalities, Facta Univ. Ser. Math. Inf. 30(5) (2015) 679–691. [25] S. Ullah, G. Farid , K. A. Khan, A. Waheed and S. Mehmood, Generalized fractional inequalities for quasi-convex functions, Adv. Difference Equ. 2019 (2019) p. 15. [26] K. S. Zhang and J. P. Wan, p-convex functions and their properties, Pure Appl. Math. 23(1) (2007) 130–133. | ||
|
آمار تعداد مشاهده مقاله: 15,727 تعداد دریافت فایل اصل مقاله: 7,613 |
||