Involving Hadamard Products Research Articles

Some New Results of Differential Subordinations for HigherOrder Derivatives of Multivalent Functions

The main purpose of this paper is to study the differential subordination result for multivalent analytic functions. We give some applications of higher-order differential subordination results involving Hadamard product for multivalent analytic functions with generalized hypergeometric function in open unit disk. We have also discussed and studied a new class of higher-order derivatives of multivalent analytic functions in open unit disk of complex plane related to linear operator and we obtain some results connected inclusion relationship, argument estimate, integral representation and subordination property. by using the method of differential subordination we aim to prove some classical results in multivalent functions theory. We obtain some interesting properties of this class and establish several strong differential subordination for higher-order derivatives of multivalent analytic functions. By making use of the principle of subordination, we introduce a new class W_(p, q)^(l, k) (η,α_1, m; h) for higher-order derivatives of multivalent analytic functions associated with Dziok-Srivastava operator. We obtain some result for this class.

OBTAIN NEW SUBCLASS OF ANALYTIC FUNCTIONS INVOLVING HADAMARD PRODUCT OF LINEAR OPERATOR WITH POLYLOGARITHM FUNCTIONS

OBTAIN NEW SUBCLASS OF ANALYTIC FUNCTIONS INVOLVING HADAMARD PRODUCT OF LINEAR OPERATOR WITH POLYLOGARITHM FUNCTIONS

Some Subordination and Superordination Results for Normalized Analytic Functions Defined by Convolution Structure Associated with Wanas Differential Operator

The purpose of this paper is to establish some subordination and superordination results involving Hadamard product for certain normalized analytic functions associated with Wanas differential operator defined in the open unit disk and obtain sandwich results. Our results extend corresponding previously known results.

A Differential Sandwich Theorems for Analytic Functions Associated with Convolution Structure

In this paper, by making use of the generalized operator, we introduce and study subordination and superordination results involving Hadamard product for certain normalized analytic functions in the open unit disk. Our results extended corresponding previously known results.

Differential Sandwich Theorems for a Certain Class of Analytic Functions Defined by Differential Operator

In this paper, we establish some applications of first order differential subordination and superordination results involving Hadamard product for a certain class of analytic functions with differential operator defined in the open unit disk. These results are applied to obtain sandwich results.

Inequalities involving Hadamard products of centrosymmetric matrices

Inequalities involving Hadamard products of centrosymmetric matrices

Subordination and superordination results associated with the generalized hypergeometric function

Abstract In the present investigation, we obtain some subordination and superordination results involving Hadamard products for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out.

On certain p-valently analytic functions involving hadamard products

In this paper, we introduce and study some properties of unified class WTλ(Φ,Ψ;η,β,p) involving the Hadamard Products given by Juneja et. al in 1985. The properties include coefficient bounds, growth and distortion, and closure theorem. Further, the radii of starlikeness and convexity is also given. AMS Subj. Classification: 30C45.

Reverses and variations of Heinz inequality

Let be positive definite matrices. We present several reverse Heinz-type inequalities, in particularwhere is an arbitrary matrix, is Hilbert–Schmidt norm and . We also establish a Heinz-type inequality involving Hadamard product of the formin which and is a unitarily invariant norm.

Differential Sandwich Theorems of P-Valent Functions Defined by Noor Integral Operator

In this paper, we obtain sandwich results involving Hadamard product for certain p-valent functions associated with Noor integral operator in the open unit disk.

Bound on the Minimum Eigenvalue of H-Matrices Involving Hadamard Products

We present a new lower bound on the minimum eigenvalue of H-matrices involving Hadamard products τ(A1(α1)∘⋯∘Am(αm)), and we show that our lower bound is larger than the lower bound ∏k=1m[τ(Ak)]αk. Three examples verify our result.

On Certain Class of Analytic Functions Involving Linear Operators

Invoking the Hadamard product (or convolution) , a class of univalent functions has been introduced. In the present paper we obtain necessary and sufficient conditions and some important properties for the analytic functions for its belongingness to certain class of functions. The distortion inequalities, closer theorems, radii of close-to-convexity, radii of starlikeness and radii of convexity are obtained for the same class of functions. Some properties involving Hadamard product are also obtained.

A general double inequality related to operator means and positive linear maps

Let A,B∈B(H) be such that 0<b1I⩽A⩽a1I and 0<b2I⩽B⩽a2I for some scalars 0<bi<ai,i=1,2 and Φ:B(H)→B(K) be a positive linear map. We show that for any operator mean σ with the representing function f, the double inequalityω1-α(Φ(A)#αΦ(B))⩽(ωΦ(A))∇αΦ(B)⩽αμΦ(AσB)holds, where μ=a1b1(f(b2a1-1)-f(a2b1-1))b1b2-a1a2, ν=a1a2f(b2a1-1)-b1b2f(a2b1-1)a1a2-b1b2, ω=αν(1-α)μ and #α (∇α, resp.) is the weighted geometric (arithmetic, resp.) mean for α∈(0,1).As applications we present several generalized operator inequalities including Diaz–Metcalf and reverse Ando type inequalities. We also give some related inequalities involving Hadamard product and operator means.

Differential sandwich results for certain subclasses of analytic functions

In the present investigation, we obtain some subordination and superordination results involving Hadamard products for certain analytic functions. Relevant connections of the results are noted and the new results are also pointed out.

Norm inequalities involving Hadamard products

Let A, B be square complex matrices of the same order, and let ○ denote the Hadamard product. Xingzhi Zhan conjectured that for any unitarily invariant norm. We prove this conjecture for the cases when ‖·‖ is the spectral norm, the trace norm or the Frobenius norm. The spectral norm case of our result improves an existing inequality.

Some inequalities for operator means and Hadamard product

We prove some general theorems which unify results on arithmetic-geometric mean and some other related matrix inequalities. As an application we obtain some results involving Hadamard product of matrices.

Sandwich theorems for Φ-like functions involving hadamard product and integral operator

In this article, we illustrate sufficient conditions for subordination and superordination for a subclass of analytic functions containing a Hadamard and Noor integral operator.

Differential subordinations and superordinations for a comprehensive class of analytic functions

In the present investigation, we obtain some subordination and superordination results involving Hadamard product for certain normalized analytic functions in the open unit disk. Our results extend corresponding previously known results.

On coefficient problems of certain analytic functions involving Hadamard products

On coefficient problems of certain analytic functions involving Hadamard products

Extension and generalization inequalities involving the Khatri-Rao product of several positive matrices

Recently, there have been many authors, who established a number of inequalities involving Khatri-Rao and Hadamard products of two positive matrices. In this paper, the results are established in the following three ways. First, we find generalization of the inequalities involving Khatri-Rao product using results given by Liu (1999), Mond and Pecaric (1997), Cao et al. (2002), Chollet (1997), and Visick (2000). Second, we recover and develop some results of Visick. Third, the results are extended to the case of Khatri-Rao product of any finite number of matrices. These results lead to inequalities involving Hadamard product, as a special case.