Inequalities for Stieltjes Integrals with Convex Integrators and Applications

Inequalities for a Grüss type functional in terms of Stieltjes integrals with convex integrators are given. Applications to the Čebyšev functional are also provided

Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces

Some Jensen’s 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 Lupaʂ-Beesack-Pečarić result for m − ψ −convex and M − ψ −convex functions and applications 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

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

On the Bombieri Inequality in Inner Product Spaces

New results related to the Bombieri generalisation of Bessel’s inequality in inner product spaces are given

Another Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications

A discrete inequality of Grüss type in normed linear sapces and applications for the Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector valued Lipschitzian mappings, are given