In [5], Mursaleen characterized the classes ( c ( p ), V σ ), ( c ( p ), V σ ) reg and ( l ∞ ( p ), V σ ) of matrices, which generalized the results due to Schaefer [4].
In this paper, we present some new inequalities for unitarily invariant norms involving Heron and Heinz means for matrices, which generalize the result of Theorem 2.1 (Fu and He in J. Math. Inequal. 7(4):7201337, 2013) and refine the inequality of Theorem 6 (Zhan in SIAM J. Matrix Anal. Appl. 20: 466-470, 1998).
What stands out in this article is the sequence spaces of a new brand c 0 λ ( B ˜ ) and c λ ( B ˜ ), derived by using a double sequential band matrix B ( r ˜, s ˜ ) which generalizes the previous work of Sönmez and Başar (Abstr. Appl. Anal. 2012 435076, 2012), where ( r n ) n = 0 ∞ and ( s n ) n = 0 ∞ are given convergent sequences of positive real numbers.
The section aims to construct the OMFD which generalizes the operational matrix of derivatives for the integer case.
Sufficient linear matrix inequality (LMI) conditions are provided for the existence of a path-dependent Lyapunov function which generalizes previous results based on affine parameter-dependent Lyapunov functions.
Five conditions, each of which generalizes the notion of a.e.
We introduce the relative oscillation numbers which generalize the concept of a weighted zero of the Wronskian for the matrix case.
Ternary algebraic operations were considered in the 19th century by several mathematicians, such as Cayley [1], who introduced the notion of cubic matrix which, in turn, was generalized by Kapranov et al. [2].
Ternary algebraic operations were considered in the nineteenth century by several mathematicians, such as Cayley [1] who introduced the notion of cubic matrix, which, in turn, was generalized by Kapranov et al. [2].
