Search Results - "BAKHERAD, MOJTABA"
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Berezin number inequalities for operators
Published in Concrete operators (Warsaw, Poland) (01-04-2019)“…The Berezin transform of an operator , acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) over some (non-empty) set Ω, is defined by ) = 〉 , 〈 ( ∈ Ω),…”
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New estimations for the Berezin number inequality
Published in Journal of inequalities and applications (18-02-2020)“…In this paper, by the definition of Berezin number, we present some inequalities involving the operator geometric mean. For instance, it is shown that if X , Y…”
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3
Normal Shape and Numerical Range of a Real 2-Toeplitz Tridiagonal Matrix
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-05-2023)“…In this paper, the structured distance in the Frobenius norm of a real irreducible tridiagonal 2-Toeplitz matrix T to normality is determined. In the first…”
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Norm inequalities involving a special class of functions for sector matrices
Published in Journal of inequalities and applications (01-05-2020)“…In this paper, we present some unitarily invariant norm inequalities for sector matrices involving a special class of functions. In particular, if Z = ( Z 11 Z…”
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Extensions of interpolation between the arithmetic-geometric mean inequality for matrices
Published in Journal of inequalities and applications (2017)“…In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if A ,…”
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Improvement of Furuta’s Inequality with Applications to Numerical Radius
Published in Mathematics (Basel) (01-01-2023)“…In diverse branches of mathematics, several inequalities have been studied and applied. In this article, we improve Furuta’s inequality. Subsequently, we apply…”
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Reverses of Ando’s and Hölder–McCarty’s inequalities
Published in Journal of inequalities and applications (2018)“…In this paper, we give some reverse-types of Ando’s and Hölder–McCarthy’s inequalities for positive linear maps, and positive invertible operators. For this…”
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Some Berezin Number Inequalities for Operator Matrices
Published in Czechoslovak mathematical journal (01-12-2018)“…The Berezin symbol à of an operator A acting on the reproducing kernel Hilbert space H = H ( Ω ) over some (nonempty) set is defined by A ∼ ( λ ) = ⟨ A k ^ λ ,…”
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Improved Berezin radius inequalities for certain operator matrices
Published in Rendiconti del Circolo matematico di Palermo (27-07-2024)Get full text
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Refinements of a reversed AM-GM operator inequality
Published in Linear & multilinear algebra (01-09-2016)“…We prove some refinements of a reverse AM-GM operator inequality due to M. Lin [Studia Math. 2013;215:187-194]. In particular, we show the operator inequality…”
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Some Reversed and Refined Callebaut Inequalities Via Kontorovich Constant
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-04-2018)“…In this paper, we employ some operator techniques to establish some refinements and reverses of the Callebaut inequality involving the geometric mean and…”
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12
A variational iteration method for solving nonlinear Lane–Emden problems
Published in New astronomy (01-07-2017)“…•A semi-analytical method for nonlinear Lane–Emden problems.•Includes adaptive step size and domain decomposition.•Overcomes the main difficulty arising in the…”
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13
Improvements of Berezin number inequalities
Published in Linear & multilinear algebra (02-06-2020)“…In this paper, we generalize several Berezin number inequalities involving product of operators, which acting on a Hilbert space . Among other inequalities, it…”
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14
A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
Published in Acta applicandae mathematicae (01-08-2024)“…A functional Hilbert space is the Hilbert space ℋ of complex-valued functions on some set Θ ⊆ C such that the evaluation functionals φ τ ( f ) = f ( τ ) , τ ∈…”
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15
Some extensions of the operator entropy type inequalities
Published in Linear & multilinear algebra (04-05-2019)“…In this paper, we define the generalised relative operator entropy and investigate some of its properties such as subadditivity and homogeneity. As application…”
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Reverses and variations of Heinz inequality
Published in Linear & multilinear algebra (03-10-2015)“…Let be positive definite matrices. We present several reverse Heinz-type inequalities, in particular where is an arbitrary matrix, is Hilbert-Schmidt norm and…”
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Numerical Radius Inequalities Involving Commutators of G1 Operators
Published in Complex analysis and operator theory (01-06-2019)“…We prove numerical radius inequalities involving commutators of G 1 operators and certain analytic functions. Among other inequalities, it is shown that if A…”
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Chebyshev type inequalities for Hilbert space operators
Published in Journal of mathematical analysis and applications (01-12-2014)“…We establish several operator extensions of the Chebyshev inequality. The main version deals with the Hadamard product of Hilbert space operators. More…”
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A generalization of the Davis–Wielandt radius for operators
Published in Boletín de la Sociedad Matemática Mexicana (01-07-2024)“…In this work, we define a generalization of the Davis–Wielandt radius of Hilbert space operators for an arbitrary norm and obtain some applications for…”
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Numerical Radius Inequalities Involving Commutators of $$G_{1}$$ G 1 Operators
Published in Complex analysis and operator theory (01-06-2019)Get full text
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