[PDF] Top 20 Some complementary inequalities to Jensen’s operator inequality
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Some complementary inequalities to Jensen’s operator inequality
... On the other hand, Mond and Pečarić [10, 11] (also see [12, 13]) investigated converses of Jensen’s inequality. To present these results, we introduce some abbreviations. Let f : [m, M] → R , m < M. Then ... See full document
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Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
... various inequalities for functions of selfadjoint operators, see [4] and the references ...an operator version for the Jensen inequality is due to Mond & Peˇ cari´ c [9] (see also [4, ... See full document
14
Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type
... The aim of this paper is to extend certain results that were proved in [9, 10], and general- ize (1)–(4) to some weakly singular integral inequalities. The upper bound estimations of the unknown functions ... See full document
16
A Concept of Synchronicity Associated with Convex Functions in Linear Spaces and Applications
... The Jensen inequality for convex functions plays a crucial role in the Theory of Inequalities due to the fact that other inequalities such as that arithmetic mean- geometric mean ... See full document
11
A Refinement of Jensen's Inequality with Applications for f-Divergence Measures
... The Jensen inequality for convex functions plays a crucial role in the Theory of Inequalities due to the fact that other inequalities such as that arithmetic mean- geometric mean ... See full document
10
GENERAL RELATED JENSEN TYPE INEQUALITIES FOR FUZZY INTEGRALS
... In connection with the topics that will be discussed in this article, there are several other theoretical and applied papers related to fuzzy measure theory on metric spaces, such as Li et al. [8, 9] and Narukawa et al. ... See full document
7
Imbedding inequalities for the composite operator in the Sobolev spaces of differential forms
... imbedding inequality for the composition of Green’s op- erator and the homotopy operator in the weighted (, p)-Sobolev space when n < p < ∞ ...weighted inequality holds not only for the ... See full document
11
Dynamic Inequalities for Convex Functions Harmonized on Time Scales
... here some general fractional Schlömilch’s type and Rogers-Hölder’s type dynamic inequalities for convex functions harmonized on time ...dynamic inequalities and generalize it for convex functions of ... See full document
11
Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
... selfadjoint operator and f is a real valued continuous function on SpA, then ft ≥ 0 for any t ∈ SpA implies that fA ≥ 0, that is, fA is a positive operator on ... See full document
15
A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
... for any λ, µ ∈ C and A, B ∈ B (H) . The linear map Φ : B (H) → B (K) is positive if it preserves the operator order,i.e. if A ∈ B + (H) then Φ (A) ∈ B + (K) . We write Φ ∈ P [ B (H) , B (K)] . The linear map Φ : B ... See full document
14
Refinement of the Jensen integral inequality
... The Jensen inequality for convex functions plays a crucial role in the Theory of Inequalities due to the fact that other inequalities such as the arithmetic mean-geometric mean ... See full document
8
On the refinements of the Jensen Steffensen inequality
... extend some old and give some new refinements of the Jensen- Steffensen ...these inequalities and prove monotonicity property of the generalized Cauchy means obtained via these ... See full document
11
On inequalities of Jensen Ostrowski type
... . Inequalities of Ostrowski and Jensen type are obtained as special cases, by setting λ = 0 and ζ = g d μ , ...obtain some bounds for the discrepancy in Jensen’s integral ...these inequalities ... See full document
20
Trace inequalities for positive operators via recent refinements and reverses of Young's inequality
... obtain some trace inequalities for positive operators via recent refinements and re- verses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and ...Young’s ... See full document
13
On Some Improvements of the Jensen Inequality with Some Applications
... the Jensen inequality for convex and monotone function is given as well as various applications for ...related inequalities of the Jensen type are also obtained. Also some applications ... See full document
15
Matrix operator inequalities based on Mond, Pecaric, Jensen and Ando's
... positive operator by the usual functional ...be operator monotone on interval [m,M] if A ≥ B ⇒ f (A) ≥ f(B) for every positive definite Hermitian matrices A and B whose eigenvalues are contained on [m,M], ... See full document
13
A refinement of Sándor Tóth's inequality
... The inequalities are important in many applications. Some attractive recent theoretical results related to inequalities include Jensen type inequalities [1], the general varia- tional ... See full document
11
Some inequalities of Jensen type for operator convex functions in Hilbert spaces
... The Jensen inequality for convex functions plays a crucial role in the Theory of Inequal- ities due to the fact that other inequalities such as that arithmetic mean-geometric mean inequality, ... See full document
19
Superadditivity of Some Functionals Associated to Jensen's Inequality for Convex Functions on Linear Spaces with Applications
... Rényi’s divergences R (p; q) := ( 1 1) ln [ (p; q)] have been introduced for all real orders 6 = 0; 6 = 1 (and continuously extended for = 0 and = 1) in [21], where the reader may …nd many inequalities valid for ... See full document
16
Some new estimates of the ‘Jensen gap’
... This inequality can be traced back to Jensen’s original papers [, ] and is one of the most fundamental mathematical ...classical inequalities can be derived from ... See full document
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