[PDF] Top 20 Some Lp Inequalities for B Operators
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Some Lp Inequalities for B Operators
... extensions of the inequalities (1.14) and (1.15) for and present correct proofs of the results mentioned in [1]. In this direction, we first present the following result which is a compact generalization of the ... See full document
12
Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces
... Theorem 4. Let A be a positive definite operator on the Hilbert space H and assume that Sp (A) ⊆ [m, M ] for some scalars m, M with 0 < m < M. If f is a twice differentiable function on (m, M ) and for p ∈ ... See full document
10
Some weighted inequalities for Hausdorff operators and commutators
... Hausdorff operators by defining a new type of commutators in ...commutator operators. More precisely, under some as- sumptions on A(y), we give necessary and sufficient conditions on the function such ... See full document
19
Some sharp inequalities for multilinear integral operators
... 9. Ding, Y, Lu, SZ: Weighted boundedness for a class rough multilinear operators. Acta Math. Sin. 17, 517-526 (2001) 10. Hu, G, Yang, DC: A variant sharp estimate for multilinear singular integral ... See full document
14
Lp Inequalities for Polynomials
... means of Minkowski’s inequality,it was not clear, whe- ther the restriction on p was indeed essential. This question was open for a long time. Finally Arestov [8] proved that (3) remains true for 0 < p < 1 as well. ... See full document
8
Some inequalities in B(H)
... let B(H) be the space of bounded and linear operators from H to ...of B(H), and prove two inequalities between the distance to ∆(A,B) of each operator T in B(H), and the value ... See full document
5
Poincaré inequalities and the sharp maximal inequalities with Lφ norms for differential forms
... Poincaré inequalities and the sharp maximal inequalities for differential forms with L ϕ -norm, where ϕ satisfies nonstandard growth ...classical operators and analyze integral properties of ... See full document
11
Multiplicative inequalities for weighted arithmetic and harmonic operator means
... establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various as- sumption for the positive invertible operators A, ...B. Some ... See full document
12
On some inequalities for numerical radius of operators in Hilbert Spaces
... (1.13) w (T ) = sup {|λ| , λ ∈ W (T )} = sup {|hT x, xi| , kxk = 1} . It is well known that w (·) is a norm on the Banach algebra B (H) of all bounded linear operators T : H → H. This norm is equivalent ... See full document
13
Some inequalities via fractional conformable integral operators
... integral inequalities plays a vital role in the field of mathemati- cal ...famous inequalities for convex functions known as Hermite–Hadamard ...a, b ∈ I with a < b, ... See full document
8
Some means inequalities for positive operators in Hilbert spaces
... In this paper, we obtain two refinements of the ordering relations among Heinz means with different parameters via the Taylor series of some hyperbolic functions and by the way, we derive new generalizations of ... See full document
13
Some sharp inequalities for integral operators with homogeneous kernel
... Remark For the case α = () is the classical Hardy inequality. The almost years of research until Hardy finally proved this inequality in (see []) is described in detail in []. In particular, it is ... See full document
18
Some results on singular value inequalities of compact operators in Hilbert space
... in B(H) and it will be implicitly understood that when we talk of ||| T ||| , then the operator T belongs to the norm ideal associated with ||| · ||| ...all operators T in the norm ideal associated with ||| ... See full document
14
Some convexity inequalities in noncommutative Lp spaces
... and B ( H ) denote the C ∗ -algebra of all bounded linear operators on H ...involution B ( H ) becomes a unital C ∗ -algebra. We say a function | · | : B(H) → R is a unitary invariant norm (or ... See full document
6
Sharp boundedness for vector valued multilinear integral operators
... sharp inequalities for some vector-valued multilinear integral operators are ...norm inequalities and an L log L-type estimate for the vector-valued multilinear ... See full document
13
Some reverse mean inequalities for operators and matrices
... A, B ∈ B(H), we use A ≥ B (B ≤ A) to mean that A – B is ...∈ B(H) is called accretive if in its Cartesian (or Toeptliz) decomposition, A = A + i A, A is positive, where A = A+A 2 ... See full document
12
Some inequalities related to (i,j) type Lp mixed affine surface area and Lp mixed curvature image
... In this article, we will first introduce the concept of i, -type Lp -mixed affine surface area of convex body as follows.. Next, we have established an extension of Lp -Petty affine projecti[r] ... See full document
16
Some Slater's Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
... Theorem 5 (Dragomir, 2008, [4]). Let I be an interval and f : I → R be a convex and differentiable function on ˚ I (the interior of I) whose derivative f 0 is continuous on ˚ I . If A is a selfadjoint operators on ... See full document
13
Stechkin Marchaud Type Inequalities in Lp for Linear Combination of Bernstein Durrmeyer Operators
... In this paper, we first establish Bernstein-type inequality with parameter O for O n r , ( ; ) f x . After that, we use the equivalence relation between K-functional and modulus of smoothness, and give the ... See full document
5
On Some Integral Inequalities of Hardy Type Operators
... This inequality can be found in many standard books (see [2-7]). Inequality (1) has found much interest from a number of researchers and there are numerous new proofs, as well as, extensions, refinements and variants ... See full document
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