Results 21 to 30 of about 1,391 (258)
A Nonconstant Gradient Constrained Problem for Nonlinear Monotone Operators
Axioms, 2023 The purpose of the research is the study of a nonconstant gradient constrained problem for nonlinear monotone operators. In particular, we study a stationary variational inequality, defined by a strongly monotone operator, in a convex set of gradient ...
Sofia Giuffrè
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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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Hardy operator with variable limits on monotone functions
Journal of Function Spaces and Applications, 2003 We characterize weighted Lp-Lq inequalities with the Hardy operator of the form Hf(x)=∫a(x)b(x)f(y)u(y) dy with a non-negative weight function u, restricted to the cone of monotone functions on the semiaxis. The proof is based on the Sawyer criterion and
Vladimir D. Stepanov, Elena P. Ushakova
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On weighted means and their inequalities
Journal of Inequalities and Applications, 2021 In (Pal et al. in Linear Multilinear Algebra 64(12):2463–2473, 2016), Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions.
Mustapha Raïssouli, Shigeru Furuichi
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Operator monotone functions of several variables [PDF]
Mathematical Inequalities & Applications, 2003 We propose a notion of operator monotonicity for functions of several variables, which extends the well known notion of operator monotonicity for functions of only one variable. The notion is chosen such that a fundamental relationship between operator convexity and operator monotonicity for functions of one variable is extended also to functions of ...
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Some integral estimates on the cones of functions with the monotonicity conditions
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we obtain estimates for the integrals of monotone functions arising in the study of the covering of various cones of functions with monotonicity conditions.
N.A. Bokayev +2 more
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Operator Monotone Functions and Convexity of Its Derivatives Norms
پژوهشهای ریاضی, 2021 Introduction Given the important role convex and quasi-convex functions play in many areas of mathematics and especially in optimization, one of the inequalities that has attracted the attention of many mathematicians in recent decades is Hermit ...
Zahra Rahimi Chegeni +2 more
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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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The Zhegalkin Polynomial of Multiseat Sole Sufficient Operator
Моделирование и анализ информационных систем, 2023 Among functionally complete sets of Boolean functions, sole sufficient operators are of particular interest. They have a wide range of applicability and are not limited to the two-seat case.
Leonid Y. Bystrov, Egor V. Kuzmin
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On boundedness of unified integral operators for quasiconvex functions
Advances in Difference Equations, 2020 This work deals with the bounds of a unified integral operator with which several fractional and conformable integral operators are directly associated. By using quasiconvex and monotone functions we establish bounds of these integral operators. We prove
Dongming Zhao +4 more
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