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A Hilbert-Type Linear Operator with the norm and Its Applications
Journal of Inequalities and Applications, 2009 A Hilbert-type linear operator T:ℓϕp→ℓψp is defined. As for applications, a more precise operator inequality with the norm and its equivalent forms are deduced. Moreover, three equivalent reverses from them are given as
Wuyi Zhong
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IEEE Access, 2021 This work focuses on the stabilization issue for a class of singular stochastic systems against fractional Gaussian noise driven by fractional Brownian motion.
S. Sweetha +3 more
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Euclidean Operator Radius Inequalities of a Pair of Bounded Linear Operators and Their Applications
Bulletin of the Brazilian Mathematical Society, New Series, 2022 We obtain several sharp lower and upper bounds for the Euclidean operator radius of a pair of bounded linear operators defined on a complex Hilbert space. As applications of these bounds we deduce a chain of new bounds for the classical numerical radius of a bounded linear operator which improve on the existing ones.
Suvendu Jana, Pintu Bhunia, Kallol Paul
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On integral inequalities associated with a linear operator equation [PDF]
Proceedings of the American Mathematical Society, 1984 In this paper we apply control theoretic concepts to formulate and solve a generalized problem for the determination of best possible constants in integral inequalities. We investigate the problem of existence of functions for which the best constant is attained, and also the conditions satisfied by these functions.
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Further refinements of reversed AM–GM operator inequalities
Journal of Inequalities and Applications, 2020 In this paper, we shall give further improvements of reversed AM–GM operator inequalities due to Yang et al. (Math. Slovaca 69:919–930, 2019) for matrices and positive linear map.
Yonghui Ren, Pengtong Li
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New Refinement of the Operator Kantorovich Inequality
Mathematics, 2019 We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z.
Hamid Reza Moradi +2 more
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Mathematics, 2020 We introduce a new projection and contraction method with inertial and self-adaptive techniques for solving variational inequalities and split common fixed point problems in real Hilbert spaces.
Lateef Olakunle Jolaoso, Maggie Aphane
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Linear operators inequality for $n$-convex functions at a point [PDF]
Mathematical Inequalities & Applications, 2015 We study necessary and sufficient conditions on inear operators A and B for inequality Af
Pečarić, Josip +2 more
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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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Numerical analysis of doubly-history dependent variational inequalities in contact mechanics
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 This paper is devoted to numerical analysis of doubly-history dependent variational inequalities in contact mechanics. A fully discrete method is introduced for the variational inequalities, in which the doubly-history dependent operator is approximated ...
Wei Xu +5 more
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