Results 31 to 40 of about 1,164 (138)
Polynomial inequalities on measurable sets in Lorentz spaces and their applications
, 2020 In this short note, we study inequalities for algebraic polynomials on measurable sets in Lorentz spaces and discuss their applications to best approximation. Mathematics subject classification (2010): 46E30, 47A30, 41A10.
F. Levis
semanticscholar +1 more source
A note on best approximation and invertibility of operators on uniformly convex Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 611-614, 1991., 1991 It is shown that if X is a uniformly convex Banach space and S a bounded linear operator on X for which ‖I − S‖ = 1, then S is invertible if and only if . From this it follows that if S is invertible on X then either (i) dist(I, [S]) < 1, or (ii) 0 is the unique best approximation to I from [S], a natural (partial) converse to the well‐known sufficient
James R. Holub
wiley +1 more source
Log and harmonically log-convex functions related to matrix norms
, 2016 In this article, we introduce the concept of harmonically log-convex functions, which seems to be strongly connected to unitarily invariant norms. Then, we prove Hermite-Hadamard inequalities for these functions.
Mohammad Sababheh
semanticscholar +1 more source
, 2020 Consider the quadratic weighted geometric mean x ν y := ∣∣ ∣∣yx−1∣∣ν x ∣∣ 2 for invertible elements x, y in a Hermitian unital Banach ∗ -algebra and real number ν . In this paper, by utilizing a result of Cartwright and Field, we obtain various upper and
S. Dragomir
semanticscholar +1 more source
On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
doaj +1 more source
Constrained von Neumann inequalities [PDF]
Advances in Math. 166(2002), 260-297, 2005 An equivalent formulation of the von Neumann inequality states that the backward shift $S^*$ on $\ell_{2}$ is extremal, in the sense that if $T$ is a Hilbert space contraction, then $\|p(T)\| \leq \|p(S^*)\|$ for each polynomial $p$. We discuss several results of the following type : if $T$ is a Hilbert space contraction satisfying some constraints ...
arxiv +1 more source
Code generation approaches for parallel geometric multigrid solvers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Software development for applications in computational science and engineering has become complex in recent years. This is mainly due to the increasing parallelism and heterogeneity in modern computer architectures and to the more realistic physical and ...
Köstler Harald +5 more
doaj +1 more source
A generalization of Young-type inequalities
, 2018 In this paper, we prove a simple but useful result and apply it to give a generalization of Young-type inequalities developed by many researchers. Applications to positive definite matrices will be also provided. Mathematics subject classification (2010):
D. Choi
semanticscholar +1 more source
Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
Special Matrices, 2018 In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
doaj +1 more source
A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (∈, ∈ ∨qk)
Khan Faiz Muhammad +3 more
doaj +1 more source