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
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
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
Inequalities for Stieltjes Integrals with Convex Integrators and Applications [PDF]
, 2005 Inequalities for a Grüss type functional in terms of Stieltjes integrals with convex integrators are given.
Dragomir, Sever S
core
Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications [PDF]
, 2008 Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral are given. Applications for the three point quadrature rules of functions that are n-time differentiable are also ...
Cerone, Pietro, Dragomir, Sever S
core
Bounding the Čebyšev function for a differentiable function whose derivative is h or λ-convex in absolute value and applications [PDF]
, 2016 Some bounds for the Čebyšev functional of a differentiable function whose derivative is h or λ-convex in absolute value and applications for functions of selfadjoint operators in Hilbert spaces via the spectral representation theorem are ...
Dragomir, Sever S
core +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
core +1 more source
Generalization of majorization theorem via Abel-Gontscharoff polynomial [PDF]
, 2015 In this paper we use Abel-Gontscharoff formula and Green function to give some identities for the difference of majorization inequality and present the generalization of majorization theorem for the class of n-convex.
Josip Pečarić +2 more
core +1 more source
Evaluating the connectivity, continuity and distance norm in mathematical models for community ecology, epidemiology and multicellular pathway prediction [PDF]
, 2019 The main global threats of the biosphere on our planet, such as a global biodiversity impairment, global health issues in the developing countries, associated with an environmental decay, unnoticed in previous eras, the rise of greenhouse gasses and ...
Allaerts, W. (Wilfried)
core +1 more source
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps [PDF]
, 2019 In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps.
Dragomir, Sever S
core +1 more source