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In this paper several tensorial norm inequalities for continuous functions of selfadjoint operators in Hilbert spaces have been obtained. Multiple inequalities are obtained with variations due to the convexity properties of the mapping f ∥(1⊗ B − A ⊗ 1)−1 [exp(1 ⊗ B) − exp(A ⊗ 1)] − exp (A ⊗ 1 + 1 ⊗ B/2) ⩽ ∥1 ⊗ B − A ⊗ 1∥ 2 ∥f ′′∥I,+∞/24 . [ABSTRACT FROM AUTHOR]

In this paper, we investigated the Schur geometric convexity of related function for Holders Inequality by using majorization inequality theory, giving a complete critical condition of Schur Geometrically convex function for Holders Inequality related function and some applications are established. [ABSTRACT FROM AUTHOR]

In this paper we prove that CS[S(Bn)] and CS[S(Cn)] are Eulerian lattices under the set inclusion relation but they are neither simplicial nor dual simplicial. [ABSTRACT FROM AUTHOR]

The object of the present paper is to derive certain sufficient conditions for starlikeness of reciprocal order of analytic functions in the open unit disk. [ABSTRACT FROM AUTHOR]

In this paper, we consider a family of multiplier transformations and several subclasses of multivalent functions which are defined by means of convolution. Several interesting results are derived. Some (known or new) special cases of the multivalent function classes, which are investigated here, are also discussed. [ABSTRACT FROM AUTHOR]

In this paper two subclasses Sp,qδ(γ,A,B) and Cp,qδ(γ,A,B) of p-valently starlike and pvalently convex functions of complex order Y ≠ 0 in the open unit disk U are introduced and for these classes several majorization problems are discussed. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new class Bml(α,δ) of functions which is defined by hypergeometric function and obtain its relations with some well-known subclasses of analytic univalent functions. Furthermore, as a special case, we show that convex functions of order 1/2 are also members of the family Bml(α,δ). [ABSTRACT FROM AUTHOR]

In this paper, we define a class Rgh(p,m,β) associated with convolution of p-valent analytic functions. Some properties in the form of coefficient inequalities, distortion and growth theorems, sufficient conditions with the help of various lemmas, integral means inequalities for convolution of two functions and a set of class preserving integral operators of functions belonging to this class are studied. [ABSTRACT FROM AUTHOR]

In this paper we derive several subordination results for certain subclasses of uniformly starlike and convex functions defined by convolution. [ABSTRACT FROM AUTHOR]

The object of the present paper is to investigate several classes of analytic functions with varying argument of coefficients, which are defined here by means of the principle of subordination between analytic functions. Such properties as the coefficient estimates, distortion theorems, subordination theorems, convolution properties, integral means inequalities, and radii of conexity and starlikenes are investigated. Some consequences of our main results for new or known classes of analytic functions are also pointed out. [ABSTRACT FROM AUTHOR]