A companion inequality to Jensen's inequality

An Extension of Chebyshevs Inequality and Its Connection with Jensens Inequality

The aim of this paper is to show that Jensen’s Inequality and an extension of Chebyshev’s Inequality complement one another, so that they both can be formulated in a pairing form, including a second inequality, that provides an estimate for the classical one. 1. Introduction The well known fact that the derivative and the integral are inverse each other has a lot of interesting consequences, on...

A companion of Ostrowski's inequality for functions of bounded variation and applications

A companion of Ostrowski's inequality for functions of bounded variation and applications are given.

Companion inequalities to Ostrowski–Grüss type inequality and applications

where f : [a, b] → R is a differentiable function such that |f ′ (x) | ≤ M for all x ∈ [a, b] . More about Ostrowski type inequalities and companion inequalities to the Ostrowski type inequality can be found in papers [4, 5] and in monographs [1, 6]. If f is a differentiable function, f ′ is integrable, and γ ≤ f ′ (s) ≤ Γ, for all s ∈ [a, b] , then the following Ostrowski–Grüss inequality can ...

A Companion of Ostrowski’s Inequality for the Riemann-stieltjes Integral

A companion of the Grüss inequality and applications

A companion of the Grüss inequality in the general setting of measurable spaces and abstract Lebesgue integrals is proven. Some particular inequalities are mentioned as well. An application for the moments of guessing mapping is also provided.