74 research outputs found
Some new generalized 2D Ostrowski-Grüss type inequalities on time scales
AbstractIn this paper, we present some new generalized 2D Ostrowski-Grüss type integral inequalities on time scales, which on one hand extend some known results in the literature, and on the other hand unify corresponding continuous and discrete analysis. New bounds for the 2D Ostrowski-Grüss type inequalities are derived, some of which are sharp
On Multidimensional Inequality in Partitions of Multisets
We study multidimensional inequality in partitions of finite multisets with thresholds. In such a setting, a Lorenz-like preorder, a family of functions preserving such a preorder, and a counterpart of the Pigou-Dalton transfers are defined, and a version of the celebrated Hardy-Littlewood-Pölya characterization results is provided.Multisets, majorization, Lorenz preorder, Hardy-Littlewood-Polya theorem, transfers
Inequalities for Functions of Selfadjoint Operators on Hilbert Spaces
The main aim of this book is to present recent results concerning
inequalities for continuous functions of selfadjoint operators on complex
Hilbert spaces. It is intended for use by both researchers in various fields of
Linear Operator Theory and Mathematical Inequalities, domains which have grown
exponentially in the last decade, as well as by postgraduate students and
scientists applying inequalities in their specific areas
Inequalities
Inequalities appear in various fields of natural science and engineering. Classical inequalities are still being improved and/or generalized by many researchers. That is, inequalities have been actively studied by mathematicians. In this book, we selected the papers that were published as the Special Issue ‘’Inequalities’’ in the journal Mathematics (MDPI publisher). They were ordered by similar topics for readers’ convenience and to give new and interesting results in mathematical inequalities, such as the improvements in famous inequalities, the results of Frame theory, the coefficient inequalities of functions, and the kind of convex functions used for Hermite–Hadamard inequalities. The editor believes that the contents of this book will be useful to study the latest results for researchers of this field
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