Operator functions on chaotic order involving order preserving operator inequalities
نویسندگان
چکیده
منابع مشابه
Some Operator Inequalities on Chaotic Order and Monotonicity of Related Operator Function
and Applied Analysis 3 Theorem 5. If A n ≫ A n−1 ≫ ⋅ ⋅ ⋅ ≫ A 2 ≫ A 1 ≫ B and r 1 , r 2 , . . . , r n ≥ 0 for a natural number n. For any fixed δ ≥ 0, let p 1 , p 2 , . . . , p n be satisfied by
متن کاملOn the Unified Class of functions of Complex Order involving Dziok–Srivastava Operator
In the present investigation, we consider an unified class of functions of complex order. We obtain a necessary and sufficient condition for functions in these classes. 2000 Mathematical Subject Classification:30C45, 30C55, 30C80
متن کاملHigher order close-to-convex functions associated with Attiya-Srivastava operator
In this paper, we introduce a new class$T_{k}^{s,a}[A,B,alpha ,beta ]$ of analytic functions by using a newly defined convolution operator. This class contains many known classes of analytic and univalent functions as special cases. We derived some interesting results including inclusion relationships, a radius problem and sharp coefficient bound for this class.
متن کاملSome Operator Order Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces
Various bounds in the operator order for the following operator transform f̃ (A) := 1 2 [f (A)− f ((m + M) 1H −A)] , where A is a selfadjoint operator in the Hilbert space H with the spectrum Sp (A) ⊆ [m,M ] and f : [m,M ] → C is a continuous function on [m,M ] are given. Applications for the power and logaritmic functions are provided as well.
متن کاملMajorization for A Subclass of β-Spiral Functions of Order α Involving a Generalized Linear Operator
Motivated by Carlson-Shaffer linear operator, we define here a new generalized linear operator. Using this operator, we define a class of analytic functions in the unit disk U. For this class, a majorization problem of analytic functions is discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2012
ISSN: 1846-579X
DOI: 10.7153/jmi-06-02