On Some Grüss Type Inequality in 2-Inner Product Spaces and Applications

In this paper, we shall give a generalization of the Grüss type inequality and obtain some applications of the Grüss type inequality in terms of 2-inner product spaces

Approximating the Riemann-Stieltjes Integral via Some Moments of the Integrand

Error bounds in approximating the Riemann-Stieltjes integral in terms of some moments of the integrand are given. Applications for p-convex functions and in approximating the Finite Foureir Transform are pointed out as well

On Trapezoid Inequality Via a Grüss Type Result and Applications

In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean, identric mean, etc... ) and in Numerical Analysis in connection with the classical trapezoid formula

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

Grüss inequality for completely bounded maps

AbstractWe prove an inequality for completely bounded maps on unital C*-algebras, which generalizes the Grüss inequality and a trace inequality for bounded operators on Hilbert spaces proved by P.F. Renaud

New bounds for the Čebyšev functional

AbstractIn this paper some new inequalities for the Čebyšev functional are presented. They have applications in a variety of branches of applied mathematics

On some Chebyshev type inequalities for the complex integral

Assume that f and g are continuous on γ, γ ⊂ C is a piecewisesmooth path parametrized by z (t) , t ∈ [a, b] from z (a) = u to z (b) = w withw 6= u, and the complex Chebyshev functional is defined bySean f y g funciones continuas sobre γ, siendo γ ⊂ C un caminosuave por partes parametrizado por z (t) , t ∈ [a, b] con z (a) = u y z (b) = w,w 6= u, y el funcional de Chebyshev complejo definido po

Nabla discrete fractional Grüss type inequality

Properties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general version of the Grüss type inequality for the nabla fractional case. An example of our main result is given