Results 11 to 20 of about 1,767,691 (332)
The Generalized Inequalities via Means and Positive Linear Mappings [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we establish further improvements of the Young inequality and its reverse. Then, we assert operator versions corresponding them. Moreover, an application including positive linear mappings is given.
Leila Nasiri, Mehdi Shams
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Inequalities of Ando's Type for $n$-convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2020 By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class ...
Rozarija Mikic, Josip Pečarić
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The mean transform and the mean limit of an operator [PDF]
Proceedings of the American Mathematical Society, 2018 13 pages, Proc. Amer. Math. Soc. (2018)
M. Mbekhta, F. Chabbabi, E. Curto
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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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Norms of some operators between weighted-type spaces and weighted Lebesgue spaces
AIMS Mathematics, 2023 We calculate the norms of several concrete operators, mostly of some integral-type ones between weighted-type spaces of continuous functions on several domains.
Stevo Stević
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Means in money exchange operations
Journal of Applied Mathematics and Computational Mechanics, 2023 It is observed that in some money exchange operations, the applied $n$ -variable mean $M$ should be self reciprocally-conjugate, i.e. it should satisfy the equality \[ M\left( x_{1},\ldots,x_{n}\right) M\left( \frac{1}{x_{1}},\ldots,\frac{1}{x_{n}} \right) =1,\quad x_{1},\ldots,x_{n}>0.
Jacek Bojarski, Janusz Matkowski
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New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant
Special Matrices, 2023 Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants.
Rashid Mohammad H. M., Bani-Ahmad Feras
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Mean ergodic semigroups of operators [PDF]
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2011 Research partially supported by MICINN and FEDER Project MTM2010-15200 and GV Project Prometeo/2008/101.
ALBANESE, Angela Anna +2 more
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OPERATOR MEANS IN JB-ALGEBRAS [PDF]
Reports on Mathematical Physics, 2021 In this paper, the notion of operator means in the setting of JB-algebras is introduced and their properties are studied. Many identities and inequalities are established, most of them have origins from operators on Hilbert space but they have different forms and connotations, and their proofs require techniques in JB-algebras.
Wang, Shuzhou, Wang, Zhenhua
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Order of operators determined by operator mean [PDF]
Tohoku Mathematical Journal, 2015 Let $\sigma$ be an operator mean and $f$ a non-constant operator monotone function on $(0,\infty)$ associated with $\sigma$. If operators $A, B$ satisfy $0\le A \le B$, then it holds that $Y \sigma (tA+X) \le Y \sigma (tB+X)$ for any non-negative real number $t$ and any positive, invertible operators $X,Y$. We show that the condition $ Y \sigma (tA+X) \
Nagisa, Masaru, Uchiyama, Mitsuru
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