23 citations · 46 across the 14 of their papers we have counts for
15 papers
An extension of the weighted geometric mean in unital -algebras
Amir Ghasem Ghazanfari, Somayeh Malekinejad
Let be a unital -algebra and , we extend the weighted geometric mean , from to . We will not…
Norm inequalities related to Heinz and Heron operator means
A. G. Ghazanfari
In this article we present some new comparisons between the Heinz and Heron operator means, which improve some recent results known from the literature. We derive some refinements…
Complementary inequalities to Davis-Choi-Jensen's inequality and operator power means
A. G. Ghazanfari
Let be an operator convex function on , and be a unital positive linear maps on . we give a complementary inequality to Davis-Choi-Jensen's inequality as…
Refined Heinz operator inequalities and norm inequalities
Amir Ghasem Ghazanfari
In this article we study the Heinz and Hermite-Hadamard inequalities. We derive the whole series of refinements of these inequalities involving unitarily invariant norms, which imp…
Norm inequalities related to operator monotone functions
Amir Ghasem Ghazanfari
Let be a positive definite operator on a Hilbert space , and be a unitarily invariant norm on . We show that if is an operator monotone function on $(0,\…
Some Gruss type inequalities for Frechet differentiable mappings
Teimouri Azadbakht, Amir Ghasem Ghazanfari
Let X be a Hilbert C^*-module on C^*-algebra A and p in A. We denote by Dp(A;X) the set of all continuous functions f on A, which are Frechet differentiable on a open neighborhood…
Some new inequalities involving Heinz operator means
A. G. Ghazanfari, S. Malekinejad, S. Talebi
We give some new refinements of Heinz inequality and an improvement of the reverse Young's inequality for scalars and we use them to establish new inequalities for operators and th…
On approximate ternary m-derivations and -homomorphisms
A. G. Ghazanfari, Z. Alizadeh
In this paper we introduce ternary modules over ternary algebras and using fixed point methods, we prove the stability and super-stability of ternary additive, quadratic, cubic and…
Gruss type inequalities in semi-inner product C*-modules and applications
A. G. Ghazanfari, S. Soleimani
Some Gruss type inequalities in semi-inner product modules over C*-algebras for n-tuples of vectors are established. Also we give their natu- ral applications for the approximation…
Some Hermite-Hadamard type inequalities for the product of two operator preinvex functions
A. G. Ghazanfari, A. Barani
In this paper we introduce operator preinvex functions and es- tablish a Hermite-Hadamard type inequality for such functions. We give an estimate of the right hand side of a Hermit…
Some Grüss type inequalities for -tuples of vectors in semi-inner modules
A. G. Ghazanfari, B. Ghazanfari
Some Grüss type inequalities in semi-inner product modules over -algebras and -algebras for -tuples of vectors are established. Also we give their natural applications…
The hermite-hadamard type inequalities for operator s-convex functions
Amir Ghasem Ghazanfari
In this paper we introduce operator s-convex func- tions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hi…
A Gruss type inequality for vector-valued functions in Hilbert C*-modules
Amir Ghasem Ghazanfari
In this paper we prove a version of Gruss integral inequality for mappings with values in Hilbert C*-modules. Some applications for such functions are also given.
Hermite-Hadamard type inequality for operator preinvex functions
A. G. Ghazanfari, M. Shakoori, A. Barani +1
In this paper we establish a Hermite- Hadamard type inequality for operator preinvex functions and an estimate of the right hand side of a Hermite- Hadamard type inequality in whic…
Some new Hermite-Hadamard type inequalities for two operator convex functions
Amir G. Ghazanfari
In this paper we establish some new Hermite-Hadamard type inequalities for two operator convex functions of selfadjoint operators in Hilbert spaces.