| تعداد نشریات | 21 |
| تعداد شمارهها | 671 |
| تعداد مقالات | 9,752 |
| تعداد مشاهده مقاله | 69,395,231 |
| تعداد دریافت فایل اصل مقاله | 48,587,685 |
Operator inequality related to p-angular distance | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 25 آبان 1404 اصل مقاله (399.43 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.37087.5427 | ||
| نویسندگان | ||
| Setareh Rajabi1؛ Bahman Taherkhani* 2 | ||
| 1Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran | ||
| 2Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| تاریخ دریافت: 02 فروردین 1404، تاریخ پذیرش: 22 اردیبهشت 1404 | ||
| چکیده | ||
| Given $p, q \in \mathbb{R}$. The purpose of this paper is to discuss inequalities related to $p$-angular and $q$-angular distances for operators. We present some inequalities for absolute value operators which are generalization of inequalities studied by Zou et al. The equality conditions are also investigated. | ||
| کلیدواژهها | ||
| Absolute value operators؛ Dunkl--Williams inequality؛ p--angular distance | ||
| مراجع | ||
|
[1] D. Afkhami Taba and H. Dehghan, Operator inequalities related to angular distances, Kyungpook Math. J. 57 (2017), no. 4, 623–630. [2] J. A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), 396–414. [3] F. Dadipour, M. Fujii, and M.S. Moslehian, Dunkl-Williams inequality for operators associated with p-angular distance, Nihonkai Math. J., 21 (2010), no. 1, 11–20. [4] H. Dehghan, A characterization of inner product spaces related to the skew-angular distance, Math. Notes 93 (2013), no. 4, 556–560. [5] C.F. Dunkl and K.S. Williams, A simple norm inequality, Amer. Math. Monthly 71 (1964), 53–54. [6] L. Maligranda, Simple norm inequalities, Amer. Math. Monthly 113 (2006), no. 3, 256–260. [7] J. L. Massera and J.J. Schaffer, Linear differential equations and functional analysis I, Ann. of Math. 67 (1958), 517–573. [8] D.S. Mitrinovic, Analytic Inequalities, Springer-Verlag, New York, 1970. [9] J.E. Pecaric and R. Rajic, Inequalities of the Dunkl-Williams type for absolute value operators, J. Math. Inequal. 4 (2010), 1–10. [10] J. Rooin, S. Habibzadeh, and M.S. Moslehian, Geometric aspects of p-angular and Skew p-angular distances, Tokyo J. Math., 41 (2018), no. 1, 253–272. [11] J. Rooin, S. Rajabi, and M.S. Moslehian, Extension of Dunkl-Williams inequality and characterization of inner product spaces, Rocky Mountain J. Math., to appear. [12] K.-S. Saito and M. Tominaga, A Dunkl-Williams type inequality for absolute value operators, Linear Algebra Appl. 432 (2010) 3258–3264. [13] L. Zou, C. He, and S. Qaisar, Inequalities for absolute value operators, Linear Algebra Appl. 438 (2013), 436–442. | ||
|
آمار تعداد مشاهده مقاله: 2 تعداد دریافت فایل اصل مقاله: 2 |
||