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209  Articles
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In the paper, realizable series of iterated integrals with scalar coefficients are considered and an algebraic approach to the homogeneous approximation problem for nonlinear control systems with output is developed. In the first section we recall the con... see more

In this paper we consider a simple method for calculating integrals possessing strong singularities, to be interpreted in the Hadamard finite-part sense. We partition the original interval of integration and then integrate over the subintervals by using s... see more

We introduce a family of Balakrishnan-Rubin type hypersingular integrals depending on a parameter e\varepsilon and generated by the Generalized Poisson semigroup. Then the rate of convergence of these families of truncated hypersingular integrals, which ... see more

Some classes of n-tuple integrals depending on n parameters and differential geometric structures on 2n dimensional manifolds of integration's variables and parameters M are studying. These integrals (when no degenerate) induce the structure of the pseudo... see more

In this paper, we give some fractional integral inequalities of Ostrowski type for s-Godunova-Levin functions via Riemann-Liouville k- fractional integrals. We deduce some known Ostrowski type fractional integral inequalities for Riemann-Liouville fractio... see more

This paper presents a numerical technique for solving fractional integrals of functions by employing the trapezoidal rule in conjunction with the finite difference scheme. The proposed scheme is only a simple modification of the trapezoidal rule, in which... see more

In this paper we consider a simple method for calculating integrals possessing strong singularities, to be interpreted in the Hadamard finite-part sense. We partition the original interval of integration and then integrate over the subintervals by using s... see more

The work is devoted to the investigation of problem of approximation of continuous periodic functions by trigonometric polynomials, which are generated by linear methods of summation of Fourier series.The simplest example of a linear approximation of peri... see more

Background: University students show little clarity in applying content related to improper integrals due to a lack of meaning that does not allow them to connect them with the environment and everyday life problems. Objective: To recognise improper integ... see more

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