پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 691 |
| تعداد مقالات | 10,035 |
| تعداد مشاهده مقاله | 71,039,475 |
| تعداد دریافت فایل اصل مقاله | 62,488,993 |
Semi P-function and some new related inequalities | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 15، دوره 17، شماره 1، فروردین 2026، صفحه 183-192 اصل مقاله (393.62 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30726.4474 | ||
| نویسندگان | ||
| Mahir Kadakal* 1؛ İmdat İşcan2؛ Huriye Kadakal3 | ||
| 1Bayburt University, Faculty of Applied Sciences, Department of Customs Management, Baberti Campus, 69000, Bayburt, TÜRKİYE | ||
| 2Department of Mathematics, Sciences and Arts Faculty, Giresun University, 28100, Giresun, TÜRKİYE | ||
| 3Bayburt University, Faculty of Education, Department of Primary Education, Campus Baberti, 69000-Bayburt, Turkey | ||
| تاریخ دریافت: 02 خرداد 1402، تاریخ بازنگری: 31 شهریور 1402، تاریخ پذیرش: 28 مهر 1402 | ||
| چکیده | ||
| In this manuscript, we introduce and study the concept of semi P-functions and their some algebraic properties. Also, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power mean integral inequalities and show that the result obtained with Hölder-İşcan and improved power-mean inequalities give a better approach than the others. Some applications to special means of real numbers are also given. | ||
| کلیدواژهها | ||
| Convex function؛ semi P-function؛ Hermite-Hadamard inequality؛ Hölder-İşcan inequality؛ improved power-mean inequality | ||
| مراجع | ||
|
[1] S.S. Dragomir and R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11 (1998), 91–95. [2] S.S. Dragomir and S. Fitzpatrick, The Hadamard inequalities for s-convex functions in the second sense, Demonst. Math. 32 (1999), no. 4, 687–696. [3] S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Its Applications, RGMIA Monograph, 2002. [4] S.S. Dragomir, J. Pecaric, and L.E. Persson, Some inequalities of Hadamard type, Soochow J. Math. 21 (1995), no. 3, 335–341. [5] J. Hadamard, Etude sur les proprietes des fonctions enti`eres en particulier dune fonction consideree par Riemann, J. Math. Pures Appl. 58 (1893), 171–215. [6] I. I¸scan, New refinements for integral and sum forms of H¨older inequality, J. Inequal. Appl. 2019 (2019), no. 1, 1–11. [7] I. I¸scan and M. Kunt, Hermite-Hadamard-Fejer type inequalities for quasi-geometrically convex functions via fractional integrals, J. Math. 2016 (2016), Article ID 6523041, 7 pages. [8] I. I¸scan, H. Kadakal, and M. Kadakal, Some new integral inequalities for n-times differentiable quasi-convex functions, Sigma J. Engin. Natural Sci. 35 (2017), no. 3, 363–368. [9] I. I¸scan, K. Kadakal, and H. Kadakal, Some new integral inequalities for n-times differentiable log-convex functions, New Trends Math. Sci. 5 (2017), no. 2, 10–15. [10] I. I¸scan, K. Kadakal, and H. Kadakal, On two times differentiable preinvex and prequasiinvex functions, Commun. Faculty Sci. Univ. Ankara Ser. A1 Math. Statist. 68 (2019), no. 1, 950–963. [11] H. Kadakal, Hermite-Hadamard type inequalities for trigonometrically convex functions, Sci. Stud. Res. Ser. Math. Inf. 28 (2018), no. 2, 19–28. [12] H. Kadakal, New inequalities for strongly r-convex functions, J. Funct. Spaces 2019 (2019), Article ID 1219237, 10 pages. [13] H. Kadakal, On generalization of some integral inequalities for multiplicatively P-functions, TWMS J. Appl. Engin. Math. 10 (2020), no. 4, 1023–1035. [14] M. Kadakal, I. I¸scan, H. Kadakal, and K. Bekar, On improvements of some integral inequalities, Honam Math. J. 43 (2021), no. 3, 441–452. [15] M. Kadakal, H. Kadakal and I. I¸scan, Some new integral inequalities for n-times differentiable s-convex functions in the first sense, Turk. J. Anal. Number Theory 5 (2017), no. 2, 63–68. [16] S. Maden, H. Kadakal, M. Kadakal, and I. I¸scan, Some new integral inequalities for n-times differentiable convex and concave functions, J. Nonlinear Sci. Appl. 10 (2017), no. 12, 6141–6148. [17] S. Ozcan, On refinements of some integral inequalities for differentiable prequasiinvex functions, Filomat 33 (2019), no. 14, 4377–4385. [18] S. Ozcan, Hermit-Hadamard type inequalities for multiplicatively h-convex functions, Konuralp J. Math. 8 (2020), no. 1, 158–164. [19] S. Ozcan, Hermite-Hadamard type inequalities for m-convex and (α, m)-convex functions, J. Inequal. Appl. 2020 (2020), no. 1, 10 pages. [20] S. Ozcan, Hermite-Hadamard type inequalities for multiplicatively h-preinvex functions, Turk. J. Anal. Number Theory 9 (2021), no. 3, 65–70. [21] B.-Y. Xi and F. Qi, Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means, J. Funct. Spaces Appl. 2012 (2012). [22] G. Zabandan, A new refinement of the Hermite-Hadamard inequality for convex functions, J. Inequal. Pure Appl. Math. 10 (2009), no. 2, Article ID 45 | ||
|
آمار تعداد مشاهده مقاله: 1,706 تعداد دریافت فایل اصل مقاله: 395 |
||