Trace inequalities of Shisha-Mond type for operators in Hilbert spaces

Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given

Fractional Differential Equations, Inclusions and Inequalities with Applications

During the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special Issue presents recent developments in the theory of fractional differential equations and inequalities. Topics include but are not limited to the existence and uniqueness results for boundary value problems for different types of fractional differential equations, a variety of fractional inequalities, impulsive fractional differential equations, and applications in sciences and engineering

Chebyshev-Grüss type inequalities via Euler type and Fink identities

In this article we establish new Chebyshev-Grüss type univariate inequalities by using the generalized Euler type and Fink identities. Our results involve the functions f, g, f(n), g(n), n ∈ N, and are with respect to {norm of matrix} {dot operator} {norm of matrix}p, 1 ≤ p ≤ ∞. © 2006 Elsevier Ltd. All rights reserved