The main goal of this paper is to give applications of Hardy-type inequalities. We construct new inequalities of G. H. Hardy for convex function using different types of fractional integrals and fractional derivatives.

The aim of this work is to study a class of general strongly mixed variational inequalities. A new iterative algorithm for approximate solvability of general strongly mixed variational inequality is suggested. A convergence result for the iterative sequence generated by the new algorithm is also established.

The author introduces two new subclasses of functions which are analytic in the open unit disk. He obtains coefficient inequalities for functions belonging to this class. Furthermore, he gives some results associated with distortion bounds.

The purpose of this paper is to prove the quadruple coincidence point theorems for a mixed $g$-monotone mapping satisfying nonlinear contractions in partially ordered $G$-metric spaces. Our results generalize some results on the topics in the literature.

The aim of the present paper is to establish new representation of complete mock theta functions of order eight, certain relations between complete mock theta functions of order eight and some relations between complete mock theta functions and mock theta functions of order eight

Characterization theorems for several properties possessed by the mean value insurance premium calculation principle are presented. Demonstrated theorems cover cases of additivity, consistency, iterativity, and scale invariance properties. Results are formulated in a form of necessary and sufficient conditions for attainment of the properties imposed on the auxiliary function with the help of which the mean value premium calculation principle is defined. We show also that for the mean value principle subjected to pricing of only strictly positive risks the class of the auxiliary functions producing scale invariant premiums is larger than in the general case.