Chebyshev type inequalities for synchronous vectors in Banach spaces

Chebyshev Polynomials and Markov–bernstein Type Inequalities for Rational Spaces

This paper considers the trigonometric rational system

Optimal Weyl-type inequalities for operators in Banach spaces

Let (sn) be an s-number sequence. We show for each k = 1, 2, . . . and n ≥ k + 1 the inequality

General Chebyshev type inequalities for universal integral

A new inequality for the universal integral on abstract spaces is obtained in a rather general form. As two corollaries, Minkowski’s and Chebyshev’s type inequalities for the universal integral are obtained. The main results of this paper generalize some previous results obtained for special fuzzy integrals, e.g., Choquet and Sugeno integrals. Furthermore, related inequalities for seminormed in...

Chebyshev type inequalities for pseudo-integrals

On an iterative algorithm for variational inequalities in Banach spaces

In this paper, we suggest and analyze a new iterative method for solving some variational inequality involving an accretive operator in Banach spaces. We prove the strong convergence of the proposed iterative method under certain conditions. As a special of the proposed algorithm, we proved that the algorithm converges strongly to the minimum norm solution of some variational inequality. AMS su...