Results 21 to 30 of about 1,767,691 (332)
Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator
Comptes Rendus. Mathématique, 2022 We obtain weak-type $(p, p)$ endpoint bounds for Bochner–Riesz means for the Hermite operator $H = -\Delta + |x|^2$ in ${\mathbb{R}}^n, n\ge 2$ and for other related operators, for $1\le p\le 2n/(n+2)$, extending earlier results of Thangavelu and of ...
Chen, Peng +3 more
doaj +1 more source
Inequalities for Relative Operator Entropies and Operator Means [PDF]
Acta Mathematica Vietnamica, 2018 The main purpose of this article is to study estimates for the Tsallis relative operator entropy, by the use of Hermite-Hadamard inequality. Thus, we obtain alternative bounds for the Tsallis relative operator entropy. In the process to derive these bounds, we established the significant relation between the Tsallis relative operator entropy and the ...
Shigeru Furuichi, Nicuşor Minculete
openaire +3 more sources
Sharp bounds for Heinz mean by Heron mean and other means
AIMS Mathematics, 2020 In this paper, some sharp bounds for Heinz mean by Heron mean and other means are presented. Further, we point out a mistake in [1] and correct it. Finally, we extend the results to the corresponding operator means.
Ling Zhu
doaj +1 more source
Approximation properties of modified Jain-Gamma operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator.
S. Erdogan, A. Olgun
doaj +1 more source
Functions preserving operator means [PDF]
Annals of Functional Analysis, 2020 Let $ $ be a non-trivial operator mean in the sense of Kubo and Ando, and let $OM_+^1$ the set of normalized positive operator monotone functions on $(0, \infty)$. In this paper, we study class of $ $-subpreserving functions $f\in OM_+^1$ satisfying $$f(A B) \le f(A) f(B)$$ for all positive operators $A$ and $B$. We provide some criteria for $f$ to
Shuhei Wada +2 more
openaire +3 more sources
On the Geometric Mean Operator
Journal of Mathematical Analysis and Applications, 1994 AbstractWe give a characterization of pairs of weights (u, v) such that the geometric mean operator Gf(x) = exp((1/x) ∫x0 log ƒ(t) dt), defined for ƒ > 0 almost everywhere on (0, ∞), is bounded from Lp,v (0, ∞) to Lq,u (0, ∞), where 0 < q < p ≤ ∞. Our proofs are based on the rather surprising but simple observation that in the case v ≡ 1 and p > 1 the ...
Bohumír Opic, Luboš Pick
openaire +2 more sources
Regular operator mappings and multivariate geometric means [PDF]
, 2014 We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. This setting is convenient for studying maps more general than what can be obtained from the functional calculus, and it allows for ...
Hansen, Frank
core +2 more sources
SUBORDINATION RESULTS FOR A FRACTIONAL INTEGRAL OPERATOR
Проблемы анализа, 2021 In this paper, we establish several differential subordinations regarding the operator 𝐷^(−𝜆)_𝑧 𝑆𝑅^(𝑚,𝑛) defined using the fractional integral of the differential operator 𝑆𝑅^(𝑚,𝑛), obtained as a convolution product of Salagean operator 𝑆^𝑚 and ...
A. Alb Lupaş
doaj +1 more source
Second order arithmetic means in operator ideals [PDF]
, 2007 Equality of the second order arithmetic means of two principal ideals does not imply equality of their first order arithmetic means (second order equality cancellation).
Kaftal, Victor, Weiss, Gary
core +1 more source
Fractional integral inequalities for h-convex functions via Caputo-Fabrizio operator
AIMS Mathematics, 2021 The aim of this paper is to study h convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via h convex function involving Caputo-Fabrizio fractional ...
Lanxin Chen +5 more
doaj +1 more source