Abstract The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in sense synchronous functions by employing proportional (PFI) and Hadamard integral. We establish concerning one- two-parameter integrals. also discuss particular cases.

A vector …eld in n-space is reconstructed from a n-dimensional family of ray or line integrals. A similar problem is considered for di¤erential forms of higher order. Key words: Di¤erential form, ray integral, k-plane integral, reconstruction, support condition AMS subject classi…cation (2000): Primary, 53C65; Secondary, 65R32, 76M27 Abbreviated title: Doppler transform 1 Introduction Integrals...

A bstract We study a two-loop four-point function with one internal mass. This Feynman integral is of the simplest integrals depending on two elliptic curves. transform associated differential equation into an ε -form. entries equation, and in particular which depend both

In this paper we consider   multivariate Lagrange mean-value interpolation problem, where interpolation parameters are integrals over spheres. We have   concentric spheres. Indeed, we consider the problem in three variables when it is not correct.  

Abstract In this paper, we establish a new variant of q -Hermite-Hadamard inequality for convex functions via left and right -integrals. Moreover, prove some -midpoint -trapezoid type inequalities -differentiable functions. To illustrate the newly established inequalities, give particular examples

We study the approximation of weakly singular integrals over triangles in general position in R3, giving explicit formulae where convenient and numerical quadrature in more general cases. Particular models considered concern the collocation and Galerkin methods in the boundary integral approach to the Dirichlet problem for Laplace’s equation.

AbstractIn the present paper we derive an integral involving general class of polynomials whose integrand contains product of Ifunction and a general class of polynomiyals.The integral evaluated is quite general in nature and we can derive from them by a large number of integrals involving simpler functions as their particular cases.

An assessment of several widely used exchange-correlation potentials in computing charge-transfer integrals is performed. In particular, we employ the recently proposed Coulomb-attenuated model which was proven by other authors to improve upon conventional functionals in the case of charge-transfer excitations. For further validation, two distinct approaches to compute the property in question ...

In this paper, we consider the Choquet integrals with respect to a capacity and the Choquet integral expected utility (CEU) represented by the preference functionals. In particular, by using the CEU preference functionals, we investigate the evaluation of Korea’s animal exports with the trading partners examined. AMS subject classification: 28E10, 28E20, 03E72, 26E50 11B68.

In this paper we introduce a system of nonlinear ordinary differential equations which in a particular case reduces to Volterra’s system. We found in two simplest cases the complete sets of the integrals of motion using Nambu–Poisson reformulation of the Hamiltonian dynamics. In these cases we have solved the systems by quadratures.