4,632 research outputs found
Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications
Sharp bounds for the deviation of a real-valued function f defined
on a compact interval [a, b] to the chord generated by its end points (a, f (a))
and (b, f (b)) under various assumptions for f and f' including absolute continuity,
convexity, bounded variation, monotonicity etc., are given. Some applications
for weighted means and f-divergence measures in Information Theory
are also provided
Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions
Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are given
Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
Some reverses of the Jensen inequality for functions of selfadjoint
operators in Hilbert spaces under suitable assumptions for the involved operators
are given. Applications for particular cases of interest are also provided
A Functional Associated with Two Bounded Linear Operators in Hilbert Spaces and Related Inequalities
Inequalities for Stieltjes Integrals with Convex Integrators and Applications
Inequalities for a GrĆ¼ss type functional in terms of Stieltjes integrals
with convex integrators are given. Applications to the ÄebyÅ”ev functional
are also provided
Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces
Some Jensenās type inequalities for twice differentiable functions
of selfadjoint operators in Hilbert spaces under suitable assumptions for the
involved operators are given. Applications for particular cases of interest are
also provided
On the Lupas-Beesack-Pecaric Inequality for Isotonic Linear Functionals
Some inequalities related to the LupaŹ-Beesack-PeÄariÄ result for m ā Ļ āconvex and M ā Ļ āconvex functions and applications are given
Some Inequalities for the Relative Entropy and Applications
Some new inequalities for the relative entropy and applications are given
A Note on Besselās Inequality
A monotonicity property of Besselās inequality in inner product spaces is given
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