Results 11 to 20 of about 1,228,075 (363)
POSITIVE LINEAR OPERATORS IN SEMI-ORDERED LINEAR SPACES [PDF]
Hokkaido Mathematical Journal, 1957 Tsuyoshi Andô
openalex +4 more sources
A Class of Positive Linear Operators [PDF]
Canadian Mathematical Bulletin, 1968 Let F[a, b] be the linear space of all real valued functions defined on [a, b]. A linear operator L: C[a, b] → F[a, b] is called positive (and hence monotone) on C[a, b] if L(f)≥0 whenever f≥0. There has been a considerable amount of research concerned with the convergence of sequences of the form {Ln(f)} to f where {Ln} is a sequence of positive ...
J. P. King
openalex +3 more sources
On the Jensen’s inequality and its variants
AIMS Mathematics, 2020 The main purpose of this paper is to discuss operator Jensen inequality for convex functions, without appealing to operator convexity. Several variants of this inequality will be presented, and some applications will be shown too.
Elahe Jaafari +3 more
doaj +1 more source
Estimates for Tsallis relative operator entropy [PDF]
, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru +2 more
core +1 more source
OSQP: an operator splitting solver for quadratic programs [PDF]
Mathematical Programming Computation, 2017 We present a general-purpose solver for convex quadratic programs based on the alternating direction method of multipliers, employing a novel operator splitting technique that requires the solution of a quasi-definite linear system with the same ...
Bartolomeo Stellato +4 more
semanticscholar +1 more source
Some generalizations of operator inequalities for positive linear maps
Journal of Inequalities and Applications, 2016 In this paper, we generalize some operator inequalities for positive linear maps due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9:166-172, 2015).
Jianming Xue, Xingkai Hu
doaj +1 more source
Some operator mean inequalities for sector matrices
AIMS Mathematics, 2022 In this article, we obtain some operator mean inequalities of sectorial matrices involving operator monotone functions. Among other results, it is shown that if $ A, B\in\mathbb{M}_n(\mathbb{C}) $ are such that $ W(A), W(B)\subseteq S_{\alpha} $, $ f, g,
Chaojun Yang
doaj +1 more source
Positive linear operators and summability [PDF]
Journal of the Australian Mathematical Society, 1970 Let {Ln} be a sequence of positive linear operators defined on C[a, b] of the form where xnk ∈ [a, b] for each k = 0, 1,…, n = 1, 2,…. The convergence properties of the sequences {Ln(f)} to for each f ∈ C[a, b] have been the object of much recent research (see e.g. [4], [8], [11], [13]).
King, J. P., Swetits, J. J.
openaire +2 more sources
Differences of Positive Linear Operators on Simplices [PDF]
Journal of Function Spaces, 2021 The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K ...
Ana-Maria Acu +2 more
openaire +2 more sources
Non-linear eigenvalue problems arising from growth maximization of positive linear dynamical systems [PDF]
IEEE Conference on Decision and Control, 2014 We study a growth maximization problem for a continuous time positive linear system with switches. This is motivated by a problem of mathematical biology: modeling growth-fragmentation processes and the PMCA protocol (Protein Misfolding Cyclic ...
V. Calvez, Pierre Gabriel, S. Gaubert
semanticscholar +1 more source