Results 21 to 30 of about 227 (91)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f′(0)−1 = 0, associated with exponential functions.
Breaz Daniel +2 more
doaj +1 more source
Some versions of Anderson′s and Maher′s inequalities II
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 53, Page 3355-3372, 2003., 2003 We are interested in the investigation of the orthogonality (in the sense of Birkhoff) of the range of an elementary operator and its kernel.
Salah Mecheri
wiley +1 more source
, 2020 An inequality for matrices that interpolates between the Cauchy-Schwarz and the arithmetic-geometric mean inequalities for unitarily invariant norms has been obtained by Audenaert. Alakhrass obtained a related result to Audenaert’s inequality using a log-
M. Al-khlyleh, Fadi Alrimawi
semanticscholar +1 more source
Generalized derivation modulo the ideal of all compact operators
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 501-506, 2002., 2002 We give some results concerning the orthogonality of the range and the kernel of a generalized derivation modulo the ideal of all compact operators.
Salah Mecheri, Ahmed Bachir
wiley +1 more source
Operator inequalities via geometric convexity
Mathematical Inequalities & Applications, 2019 The main goal of this paper is to present new generalizations of some known inequalities for the numerical radius and unitarily invariant norms of Hilbert space operators.
M. Sababheh, H. Moradi, S. Furuichi
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
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
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
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