1 |
F.A. Berezin, Quantization, Math. USSR-Izvestiya, 8 (1974), 1109-1163.
DOI
|
2 |
M. T. Garayev, H. Guedri, M. Gurdal and G. M. Alsahli, On some problems for operators on the reproducing kernel Hilbert space, Linear Multilinear Algebra, 69 (11) (2021), 2059-2077.
DOI
|
3 |
M. T. Garayev, M. Gurdal and A. Okudan, Hardy-Hilbert's inequality and a power inequality for Berezin numbers for operators, Math. Inequal. Appl., 19 (2016), 883-891.
|
4 |
M. T. Garayev, M. Gurdal and S. Saltan, Hardy type inequaltiy for reproducing kernel Hilbert space operators and related problems, Positivity, 21 (2017), 1615-1623.
DOI
|
5 |
M. Garayev, S. Saltan, F. Bouzeffour and B. Aktan, Some inequalities involving Berezin symbols of operator means and related questions, RACSAM Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat., 114(85) (2020), 1-17.
DOI
|
6 |
K. E. Gustafson and D. K. M. Rao, Numerical Range, Springer-Verlag, New York, 1997.
|
7 |
H. Basaran, M. Gurdal and A.N. Guncan, Some operator inequalities associated with Kantorovich and Holder-McCarthy inequalities and their applications, Turkish J. Math., 43(1) (2019), 523-532.
DOI
|
8 |
N. Aronzajn, Theory of reproducing kernels, Trans. Amer. Math. Soc., 68 (1950), 337-404.
DOI
|
9 |
M. Bakherad, Some Berezin number inequalities for operator matrices, Czechoslov. Math. J., 68(4) (2018), 997-1009.
DOI
|
10 |
M. Bakherad and M.T. Garayev, Berezin number inequalities for operators, Concr. Oper., 6(1) (2019), 33-43.
DOI
|
11 |
F.A. Berezin, Covariant and contravariant symbols for operators, Math. USSR-Izvestiya, 6 (1972), 1117-1151.
DOI
|
12 |
M. Fujii and R. Nakamoto, Refinements of Holder-McCarthy inequality and Young inequality, Adv. Oper. Theory, 1(2) (2016), 184-188.
|
13 |
M. T. Garayev, Berezin symbols, Holder-McCarthy and Young inequalities and their applications, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb., 43(2) (2017), 287-295.
|
14 |
M. Garayev, F. Bouzeffour, M. Gurdal and C. M. Yangoz, Refinements of Kantorovich type, Schwarz and Berezin number inequalities, Extracta Math., 35 (2020), 1-20.
DOI
|
15 |
M. Kian, Operator Jensen inequality for superquadratic functions, Linear Algebra Appl., 456 (2014), 82-87.
DOI
|
16 |
J. A. R. Holbrook, Multiplicative properties of the numerical radius in operator theory, J. Reine Angew. Math., 237 (1969), 166-174.
|
17 |
M. T. Karaev, Berezin symbol and invertibility of operators on the functional Hilbert spaces, J. Funct. Anal., 238 (2006), 181-192.
DOI
|
18 |
M. T. Karaev, Reproducing kernels and Berezin symbols techniques in various questions of operator theory, Complex Anal. Oper. Theory, 7 (2013), 983-1018.
DOI
|
19 |
F. Kittaneh, A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix, Studia Math., 158(1) (2003), 11-17.
DOI
|
20 |
F. Kittaneh, Numerical radius inequalities for Hilbert space operators, Studia Math., 168(1) (2005), 73-80.
DOI
|
21 |
H. Kober, On the arithmetic and geometric means and on Holder's inequality, Proc. Amer. Math. Soc., 9 (1958), 452-459.
DOI
|
22 |
F. Kittaneh and M. El-Haddad, Numerical radius inequalities for Hilbert space operators II, Studia Math., 182(2) (2007), 133-140.
DOI
|
23 |
Z. Heydarbeygi and M. Amyari, Some refinements of the numerical radius inequalities via Young inequality, Kragujevac J. Math., 45(2) (2021), 191-202.
DOI
|
24 |
F. Kittaneh, M. S. Moslehian and T. Yamazaki, Cartesian decomposition and numerical radius inequalities, Linear Algebra Appl., 471 (2015), 46-53.
DOI
|
25 |
C-S. Lin and Y. J. Cho, On Holder-McCarthy-type inequalities with powers, J. Korean Math. Soc., 39(3) (2002), 351-361.
DOI
|
26 |
S. S. Sahoo, N. Das and D. Mishra, Berezin number and numerical radius inequalities for operators on Hilbert spaces, Advances in Oper. Theory, 5 (2020), 714-727
DOI
|
27 |
M. Sattari, M. S. Moslehian and T. Yamazaki, Some generalized numerical radius inequalities for Hilbert space operators, Linear Algebra Appl., 470 (2015), 216-227.
DOI
|
28 |
R. Tapdigoglu, On the description of invariant subspaces in the space Cn[0, 1], Houston J. Math., 39(1) (2013), 169-176.
|
29 |
R. Tapdigoglu, New Berezin symbol inequalities for operators on the reproducing kernel Hilbert space, Oper. Matrices, (accepted) 2020.
|
30 |
K. Shebrawi and H. Albadwi, Numerical radius and operator norm inequalities, J. Inequal. Appl., 2009 (2009), Article ID 492154, 11 pages.
|
31 |
U. Yamanci, M. Gurdal and M. T. Garayev, Berezin number inequality for convex function in reproducing kernel Hilbert space, Filomat, 31 (2017), 5711-5717.
DOI
|
32 |
M. Hajmohamadi, R. Lashkaripour and M. Bakherad, Improvements of Berezin number inequalities, Linear Multilinear Algebra, 68(6) (2020), 1218-1229.
DOI
|
33 |
U. Yamanci, and M. Gurdal, On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space, New York J. Math., 23 (2017), 1531-1537.
|
34 |
U. Yamanci, R. Tunc and M. Gurdal, Berezin numbers, Gruss type inequalities and their applications, Bull. Malays. Math. Sci. Soc., 43 (2020), 2287-2296.
DOI
|
35 |
S. S. Dragomir, Vector inequalities for powers of some operators in Hilbert spaces, Filomat, 23(1) (2009), 69-83.
DOI
|
36 |
A. Zamani, Some lower bounds for the numerical radius of Hilbert space operators, Adv. Oper. Theory, 2(2) (2007), 98-107.
|