Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders. Then we derive related discrete nabla fractional Opial, Ostrowski, Poincaré and Sobolev type inequalities .

We show that the local period at position n in a characteristic Sturmian word can be given in terms of the Ostrowski representation for n+ 1.

A new generalization of weighted companion for the Ostrowski and the generalized trapezoid inequalities for mappings of bounded variation are established.

Since Ostrowski introduced the class of M{matrices more than fty equivalent deenitions of these matrices were established. Here we give another characterization using Schur complements.

In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.

A corrected interpolating polynomial is derived. Error inequalities of Ostrowski type for the corrected interpolating polynomial are established. Some similar inequalities are also obtained.

The main purpose of this paper is to derive a new inequality of Ostrowski-Grüss type with a parameter involving functions of two independent variables.

Some Ostrowski type inequalities via Cauchy’s mean value theorem and applications for certain particular instances of functions are given.

In this paper, we provide inequalities of Jensen-Ostrowski type, by investigating the magnitude of the quantity ∫ Ω (f ◦ g) dμ− f(ζ)− ∫ Ω (g − ζ)f ′ ◦ g dμ+ 1 2 λ ∫ Ω (g − ζ) dμ, for various assumptions on the absolutely continuous function f : [a, b] → C, ζ ∈ [a, b], λ ∈ C and a μ-measurable function g on Ω. Special cases are considered to provide some inequalities of Jensen type, as well as O...