پیوندهای مفید
آمار
| تعداد نشریات | 9 |
| تعداد شمارهها | 448 |
| تعداد مقالات | 5,737 |
| تعداد مشاهده مقاله | 8,058,854 |
| تعداد دریافت فایل اصل مقاله | 6,555,831 |
Some trace functional inequalities for operator (p, h)-convex functions | ||
| AUT Journal of Mathematics and Computing | ||
| دوره 7، شماره 1، فروردین 2026، صفحه 77-83 اصل مقاله (397.66 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23749.1299 | ||
| نویسندگان | ||
| Omid Pourbahri Rahpeyma1؛ Mehdi Bakan2؛ Abasalt Bodaghi* 3 | ||
| 1Department of Mathematics, Chalous Branch, Islamic Azad University, Chalous, Iran | ||
| 2Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran | ||
| 3Department of Mathematics, West Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| In this paper, we present a theorem pertinent to singular value inequalities for positive and compact operators on a Hilbert space. Moreover, we obtain several trace inequalities for operator $(p,h)$-convex functions. | ||
| کلیدواژهها | ||
| Operator $(p,h)$-convex function؛ Hermite-Hadamard inequality؛ Trace | ||
| مراجع | ||
|
[1] R. Bhatia, Matrix analysis, vol. 169 of Graduate Texts in Mathematics, Springer-Verlag, New York, 1997.
[2] V. Darvish, S. S. Dragomir, H. M. Nazari, and A. Taghavi, Some inequalities associated with the Hermite-Hadamard inequalities for operator h-convex functions, Acta Comment. Univ. Tartu. Math., 21 (2017), pp. 287–297.
[3] T. H. Dinh and K. T. B. Vo, Some inequalities for operator (p, h)-convex functions, Linear Multilinear Algebra, 66 (2018), pp. 580–592.
[4] S. S. Dragomir, Hermite-Hadamard’s type inequalities for operator convex functions, Appl. Math. Comput., 218 (2011), pp. 766–772.
[5] S. S. Dragomir and S. Fitzpatrick, The Hadamard inequalities for s-convex functions in the second sense, Demonstratio Math., 32 (1999), pp. 687–696.
[6] A. G. Ghazanfari, The Hermite-Hadamard type inequalities for operator s-convex functions, J. Adv. Res. Pure Math., 6 (2014), pp. 52–61.
[7] J. Hadamard, Etude sur les propri´et´es des fonctions enti`eres et en particulier d’une fonction consid´er´ee par Riemann, Journal de Math´ematiques Pures et Appliqu´ees, (1893), pp. 171–215.
[8] O. Hirzallah and F. Kittaneh, Inequalities for sums and direct sums of Hilbert space operators, Linear Algebra Appl., 424 (2007), pp. 71–82.
[9] E. Kikianty, Hermite-Hadamard inequality in the geometry of Banach spaces, PhD thesis, Victoria University, 2010. Unpublished.
[10] D. S. Mitrinovi´c and I. B. Lackovi´c, Hermite and convexity, Aequationes Math., 28 (1985), pp. 229–232.
[11] C. P. Niculescu, L.-E. Persson, and L.-E. Persson, Convex functions and their applications—a con- temporary approach, vol. 14 of CMS/CAIMS Books in Mathematics, Springer, Cham, 2025. Third edition [of 2178902].
[12] Z. Omrani, O. P. Rahpeyma, and H. Rahimi, Some inequalities for operator (p, h)-convex function, J. Math., (2022), Art. ID 3836837, 11 pp.
[13] J. Pe˘cari´c, T. Furuta, J. Mi´ci´c Hot, and Y. Seo, Mond-Peˇcari´c method in operator inequalities, vol. 1 of Monographs in Inequalities, ELEMENT, Zagreb, 2005.
[14] G. Zabandan, A. Bodaghi, and A. Kılıc¸man, The Hermite-Hadamard inequality for r-convex functions, J. Inequal. Appl., (2012), 2012:215, 8 pp.
[15] X. Zhan, Matrix inequalities, vol. 1790 of Lecture Notes in Mathematics, Springer-Verlag, Berlin, 2002. | ||
|
آمار تعداد مشاهده مقاله: 260 تعداد دریافت فایل اصل مقاله: 127 |
||