In this paper, the authors give a new identity for Hadamard fractional integrals. By using of this identity, the authors obtain new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (α,m)-GA-convex functions via Hadamard fractional integrals.

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this article, we obtain some inequalities new Ostrowski-like type integral inequalities for s-logarithmically convex functions in the first sense.

In this paper, we firstly obtain two identities for multiplicative differentiable functions. Then by using these identities, establish Ostrowski and Simpson type inequalities integrals. At the end give detail applications of our main results

Recently Hardcastle & Worrall (2000) analyzed 63 FRII radio galaxies imbedded in the X-ray radiating gas in galaxy clusters and concluded, that pressures inside its lobes seem to be a factor of a few lower than in the surrounding gas. One of explanations of the existing ‘blown up’ radio lobes is the existence of invisible internal pressure component due to energetic cosmic ray nuclei (protons)....

For a square matrix A, let S(A) be an eigenvalue inclusion set such as the Gershgorin region, the Brauer region in terms of Cassini ovals, and the Ostrowski region. Characterization is obtained for maps Φ on n × n matrices satisfying S(Φ(A) − Φ(B)) = S(A − B) for all matrices A and B. From these results, one can deduce the structure of additive or (real) linear maps satisfying S(A) = S(Φ(A)) fo...

The paper briefly reviews the concept of the variogram and the estimation error variance in connection with certain estimation problems. This is done in the context of their development in mineralogy. The results are then placed in the context of the assessment of flowing product streams that are continuous space, continuous time stochastic processes. The work in this area, to date, is then bri...

In this paper, we establish some generalization of Ostrowski type inequalities for interval valued functions by using the definitions 1H-derivatives. At end, a briefly conclusion is given as well.

The first-order cosmic ray acceleration at ultrarelativistic shocks is investigated using the Monte Carlo method. We apply a method of discrete particle momentum scattering as a model of particle pitch angle diffusion to reproduce highly anisotropic conditions at the shock wave. Shocks with Lorentz factors γ up to 320 and varying magnetic field inclinations ψ are considered. Values of diffusion...