output
20002026
most citedHealthFog: An Ensemble Deep Learning based Smart Healthcare System for Automatic Diagnosis of Heart Diseases in Integrated IoT and Fog Computing Environments

668 citations

Showing 2005 · math.FAShow all

14 papers · 2 filters

math.FA2005

-derivations on -triples

C. Baak, M. S. Moslehian

We introduce the concept of -derivations on -triples, and prove the Hyers--Ulam--Rassias stability of -derivations on -triples.

math.FA2005★ 191 cited

A Fixed Point Approach to Stability of a Quadratic Equation

M. Mirzavaziri, M. S. Moslehian

Using the fixed point alternative theorem we establish the orthogonal stability of quadratic functional equation of Pexider type , where are m…

math.FA2005★ 22 cited

Satbility of Ternary Homomorphisms via Generalized Jensen Equation

Mohammad Sal Moslehian, Laszlo Szekelyhidi

In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\f…

math.FA2005★ 22 cited

Stability of Generalized Jensen Equation on Restricted Domains

Soon-Mo Jung, Mohammad Sal Moslehian, Prasanna K. Sahoo

In this paper, we establish the conditional Hyers-Ulam-Rassias stability of the generalized Jensen functional equation $r f \left (\frac{sx+ty}{r}) = s g(x) + t h(y)$ on various re…

math.FA2005

Approximate -Ternary Ring Homomorphisms

Mohammad Sal Moslehian

In this paper, we establish the generalized Hyers--Ulam--Rassias stability of -ternary ring homomorphisms associated to the Trif functional equation \begin{eqnarray*} d \cdot…

math.FA2005

A Kadison-Sakai Type Theorem

M. Mirzavaziri, M. S. Moslehian

The celebrated Kadison--Sakai theorem states that every derivation on a von Neumann algebra is inner. In this paper, we prove this theorem for ultraweakly continuous *-σ-derivation…

math.FA2005★ 50 cited

Automatic Continuity of -Derivations on -Algebras

Madjid Mirzavaziri, Mohammad Sal Moslehian

Let be a -algebra acting on a Hilbert space , be a linear mapping and be a -derivation. Generalizing the celebrated theorem of Sakai, we…

math.FA2005

Vanishing of the first -cohomology group of triangular Banach algebras

M. Khosravi, M. S. Moslehian, A. N. Motlagh

In this paper, we define the first topological -cohomology group and examine vanishing of the first -cohomology groups of certain triangular Banach algebras. We apply…

math.FA2005★ 10 cited

Refinements of Reverse Triangle Inequalities in Inner Product Spaces

Arsalan Hojjat Ansari, Mohammad Sal Moslehian

Refining some results of S. S. Dragomir, several new reverses of the triangle inequality in inner product spaces are obtained.

math.FA2005★ 3 cited

On (Co)Homology of Triangular Banach Algebras

Mohammad Sal Moslehian

Suppose that A and B are unital Banach algebras with units 1_A and 1_B, respectively, M is a unital Banach A-B-bimodule, T=Tri(A,M,B) is the triangular Banach algebra, X is a unita…

math.FA2005★ 44 cited

On the Stability of J*-Homomorphisms

Choonkill Baak, Mohammad Sal Moslehian

The main purpose of this paper is to prove the generalized Hyers-Ulam-Rassias stability of J*-homomorphisms between J*-algebras.

math.FA2005★ 3 cited

Superstability of adjointable mappings on Hilbert -modules

Michael Frank, Pasc Gavruta, Mohammad Sal Moslehian

We define the notion of -perturbation of a densely defined adjointable mapping and prove that any such mapping between Hilbert -modules over a fixed -alge…

math.FA2005★ 32 cited

Approximately Vanishing of Topological Cohomology Groups

Mohammad Sal Moslehian

In this paper, we establish the Pexiderized stability of coboundaries and cocycles and use them to investigate the Hyers--Ulam stability of some functional equations. We prove that…

math.FA2005★ 40 cited

Hyers-Ulam-Rassias Stability of Generalized Derivations

Mohammad Sal Moslehian

The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.