Results 21 to 30 of about 154 (90)
Cebyšev’s type inequalities for positive linear maps of selfadjoint operators in Hilbert spaces [PDF]
, 2017 Some inequalities for positive linear maps of continuous synchronous (asynchronous) functions of selfadjoint linear operators in Hilbert spaces, under suitable assumptions for the involved operators, are given.
Dragomir, Sever S
core +2 more sources
Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 In this article, we establish several integral majorization type and generalized Favard’s inequalities for the class of strongly convex functions. Our results generalize and improve the previous known results.
Syed Zaheer Ullah +4 more
wiley +1 more source
Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski ...
Khan Asif R. +2 more
doaj +1 more source
Some integral inequalities for operator monotonic functions on Hilbert spaces [PDF]
, 2020 Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir, Sever S
core +1 more source
On New Generalized Ostrowski Type Integral Inequalities
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski′s inequality. The current paper obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval in ...
A. Qayyum +4 more
wiley +1 more source
Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 Several new error bounds for the Čebyšev functional under various assumptions are proved. Applications for functions of self‐adjoint operators on complex Hilbert spaces are provided as well.
Mohammad W. Alomari +1 more
wiley +1 more source
A Sharp Bound for the Čebyšev Functional of Convex or Concave Functions
Chinese Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 A sharp bound for the Čebyšev functional of convex or concave functions is proved.
Mohammad W. Alomari +3 more
wiley +1 more source
Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity
Journal of Inequalities and Applications, 2018 We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity.
Nasir Mehmood +3 more
doaj +1 more source
On projection constant problems and the existence of metric projections in normed spaces
Abstract and Applied Analysis, Volume 6, Issue 7, Page 401-411, 2001., 2001 We give the sufficient conditions for the existence of a metric projection onto convex closed subsets of normed linear spaces which are reduced conditions than that in the case of reflexive Banach spaces and we find a general formula for the projections onto the maximal proper subspaces of the classical Banach spaces l p, 1 ≤ p < ∞ and c 0.
Entisarat El-Shobaky +2 more
wiley +1 more source
Restrictions and extensions of semibounded operators
, 2012 We study restriction and extension theory for semibounded Hermitian operators in the Hardy space of analytic functions on the disk D. Starting with the operator zd/dz, we show that, for every choice of a closed subset F in T=bd(D) of measure zero, there ...
BL Voronov +44 more
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