Results 11 to 20 of about 1,694 (263)
Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates
Advances in Difference Equations, 2020 The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator containing extended Mittag-Leffler function via monotone function, for convex functions we generalize well
Yongsheng Rao +4 more
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Convex and monotone operator functions [PDF]
Annales Polonici Mathematici, 1995 This paper characterizes operator convex and operator monotone functions in two variables. An alternative proof of a two-variable analogue of Loewners theorem for operator monotone functions of one variable due to \textit{A. Korányi} [Trans. Am. Math. Soc. 101, 520-554 (1961; Zbl 0111.11501)] and \textit{H. Vasudeva} [ibid. 176, 305-318 (1973; Zbl 0261.
Aujla, Jaspal Singh, Vasudeva, H. L.
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A Note on Real Operator Monotone Functions [PDF]
International Mathematics Research Notices, 2020 Abstract In this paper, we initiate the study of real operator monotonicity for functions of tuples of operators, which are multivariate structured maps with a functional calculus called free functions that preserve the order between real parts (or Hermitian parts) of bounded linear Hilbert space operators.
Gaál, Marcell Gábor, Pálfia, Miklós
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Boundary Value Problems, 2019 By using the method of mixed monotone operator, a unique positive solution is obtained for a singular p-Laplacian boundary value system with infinite-point boundary conditions in this paper.
Limin Guo, Lishan Liu
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Extensions of Monotone Operator Functions [PDF]
Proceedings of the American Mathematical Society, 1976 It is shown that a monotone operator function f f defined on an open subset Δ \Delta of the real numbers may be extended to a monotone operator function on the convex hull of Δ \Delta .
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MONOTONE OPERATOR FUNCTIONS ON C*-ALGEBRAS
International Journal of Mathematics, 2005 The article is devoted to investigation of classes of functions monotone as functions on general C*-algebras that are not necessarily the C*-algebra of all bounded linear operators on a Hilbert space as in classical case of matrix and operator monotone functions.
Osaka, Hiroyuki +2 more
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Journal of Mathematics, 2019 In this paper, we introduce an iterative method for approximating a common solution of monotone inclusion problem and fixed point of Bregman nonspreading mappings in a reflexive Banach space.
F. U. Ogbuisi +2 more
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Strongly Convex Functions of Higher Order Involving Bifunction
Mathematics, 2019 Some new concepts of the higher order strongly convex functions involving an arbitrary bifuction are considered in this paper. Some properties of the higher order strongly convex functions are investigated under suitable conditions.
Bandar B. Mohsen +3 more
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Some operator monotone functions [PDF]
Linear Algebra and its Applications, 2009 We prove that the functions t -> (t^q-1)(t^p-1)^{-1} are operator monotone in the positive half-axis for 0 < p < q < 1, and we calculate the two associated canonical representation formulae. The result is used to find new monotone metrics (quantum Fisher information) on the state space of quantum systems.
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On Two Iterative Methods for Mixed Monotone Variational Inequalities
Fixed Point Theory and Applications, 2010 A mixed monotone variational inequality (MMVI) problem in a Hilbert space H is formulated to find a point u∗∈H such that 〈Tu∗,v−u∗〉+φ(v)−φ(u∗)≥0 for all v∈H ...
Xiwen Lu, Hong-Kun Xu, Ximing Yin
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