آمار
| تعداد نشریات | 26 |
| تعداد شمارهها | 447 |
| تعداد مقالات | 4,557 |
| تعداد مشاهده مقاله | 5,379,990 |
| تعداد دریافت فایل اصل مقاله | 3,580,057 |
Some results on Hermite-Hadamard inequalities | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 3، دوره 9، شماره 2، دی 2020، صفحه 79-86 اصل مقاله (241.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2020.13525.1080 | ||
| نویسندگان | ||
| Hasan Barsam* 1؛ Ali Sattarzadeh2 | ||
| 1Department of mathematics university of jiroft | ||
| 2Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran | ||
| چکیده | ||
| In this paper, we establish Hermite-Hadamard inequalities for uniformly p-convex functions and uniformly q-convex functions. Also, we obtain some new inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are the class of uniformly p-convex. | ||
| کلیدواژهها | ||
| Hermite-Hadamard inequalities؛ uniformly p-convex functions؛ H¨older inequality | ||
| مراجع | ||
|
[1] H. H. Bauschke and P. L. Combettes, Convex analysis and monotone operator theory in Hilbert spaces, Springer-Verlag, 2011. (4) (1999), 687-696.
[2] H. Barsam and A. R. Sattarzadeh, Hermite-Hadamard inequalities for uniformly convex functions and Its Applications in Means (In press).
[3] S. S. Dragomir and R. P. Agarwal, Two inequalities for di erentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11(5) (1998),91-95.
[4] S. S. Dragomir, J. Pecaric and L. E. Persson, Some inequalities of Hadamard type, Soochow J. Math, 21 (1995), 335-341.
[5] E. K. Godunova and V. I. Levin, Inequalities for functions of a broad class that contains convex, monotone and some other forms of functions, Numer. Math. Math. Phys. 166 (1985), 138-142.
[6] U. S. Kirmaci and M. E. Ozdemir, On some inequalities for di erentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comput. 153 (2004), 361-368.
[7] M. Kunt, D. Karapnar, S. Turhan, and I. Iscan, The left Riemann-Liouville fractional Hermite-Hadamard type inequalities for convex functions, Math. Slovaca 69(4) (2019), 773-784.
[8] P. O. Olanipekun, A. A. Mogbademu and S. S. Dragomir, Hermite-Hadamard type inequalities for a new class of harmonically convex functions, Note Mat. 38 (1)(2018), 23-33.
[9] M. Z. Sarikaya and H. Yildirimon, Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals, Miskolc Math. Notes.17(2) (2017), 1049-1059. | ||
|
آمار تعداد مشاهده مقاله: 429 تعداد دریافت فایل اصل مقاله: 413 |
||