A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups
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
Generalized Induced Norms [PDF]
Let ||.|| be a norm on the algebra M_n of all n-by-n matrices over the complex field C. An interesting problem in matrix theory is that "are there two norms ||.||_1 and ||.||_2 on C^n such that ||A||=max{||Ax||_2: ||x||_1=1} for all A in M_n.
C.-K. Li +7 more
core +2 more sources
A note on best approximation and invertibility of operators on uniformly convex Banach spaces
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
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
Dragomir S. S.
doaj +1 more source
Code generation approaches for parallel geometric multigrid solvers
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
On approximation properties of some non-positive Bernstein-Durrmeyer type operators
In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given ...
Vasian Bianca Ioana
doaj +1 more source
Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality [PDF]
In this paper we obtain some operator inequalities for functions defined by power series with real coefficients and, more specifically, with non- negative coefficients.
Dragomir, Sever S
core +1 more source
New aspects in polygroup theory
The aim of this paper is to compute the commutativity degree in polygroup’s theory, more exactly for the polygroup PG and for extension of polygroups by polygroups, obtaining boundaries for them.
Sonea Andromeda Cristina
doaj +1 more source
Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov
We present a survey of some recent results concerning joint numerical ranges of n-tuples of Hilbert space operators, accompanied with several new observations and remarks.
Müller V., Tomilov Yu.
doaj +1 more source
Schatten p-norm inequalities related to a characterization of inner product spaces
Let $A_1, ... A_n$ be operators acting on a separable complex Hilbert space such that $\sum_{i=1}^n A_i=0$. It is shown that if $A_1, ... A_n$ belong to a Schatten $p$-class, for some $p>0$, then 2^{p/2}n^{p-1} \sum_{i=1}^n \|A_i\|^p_p \leq \sum_{i,j=1 ...
Hirzallah, O. +2 more
core +2 more sources

