It is a familiar fact that inequalities have become very popular method using fractional integrals, and this has been the driving force behind many studies in recent years. Many forms of inequality studied, resulting introduction new trend theory. The aim paper to use fuzzy order relation introduce various types inequalities. On interval space, defined level by level. With help relation, firstl...

Abstract We prove two conjectural identities of Z.-W. Sun concerning Apéry-like series. One the series is alternating, whereas other one not. Our main strategy to convert and alternating log-sine-cosine log-sinh-cosh integrals, respectively. Then we express all these integrals using single-valued Bloch–Wigner–Ramakrishnan–Wojtkowiak–Zagier polylogarithms. The conjectures then follow from a few ...

in this paper an algorithm is presented for the regularization of singular integrals with any degrees of singularity, which may be employed in all three-dimensional problems analyzed by boundary elements. the integrals in boundary integrals equations are inherently singular. for example, one can mention the integrals confronted in potential problems to evaluate the flow or the gradient of the f...

The paper deals with the problem of numerical integration of a function [0, 1]→ R for which only a set-membership description is known. The set of values of the integrals of all possible realizations of the uncertain function is considered as a guaranteed result of the integration. The problem is to approximate this set, with a prescribed accuracy ε, by polyhedral sets, in particular, to enclos...