Results 21 to 30 of about 202 (73)
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 28, Page 1783-1801, 2003., 2003 We characterize the spaces sα(Δ), sα∘(Δ), and sα(c)(Δ) and we deal with some sets generalizing the well‐known sets w0(λ), w∞(λ), w(λ), c0(λ), c∞(λ), and c(λ).
Bruno de Malafosse
wiley +1 more source
On the characterization of periodic generalized Horadam sequences [PDF]
, 2014 The Horadam sequence is a direct generalization of the Fibonacci numbers in the complex plane, which depends on a family of four complex parameters: two recurrence coefficients and two initial conditions.
Bagdasar O.D. +9 more
core +1 more source
Topological duals of some paranormed sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1883-1897, 2003., 2003 Let P = (pk) be a bounded positive sequence and let A = (ank) be an infinite matrix with all ank ≥ 0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A, P] ∞((Ek)), [A, P] 0((Ek)), and [A, P]((E)), which generalise almost all the well‐known sequence spaces such as c0, c, lp, l∞, and wp.
Nandita Rath
wiley +1 more source
Matrix Bases for Star Products: a Review [PDF]
, 2014 We review the matrix bases for a family of noncommutative $\star$ products based on a Weyl map. These products include the Moyal product, as well as the Wick-Voros products and other translation invariant ones.
Lizzi, Fedele, Vitale, Patrizia
core +3 more sources
Some sequence spaces and statistical convergence
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 303-306, 2002., 2002 We introduce the strongly (V, λ)‐convergent sequences and give the relation between strongly (V, λ)‐convergence and strongly (V, λ)‐convergence with respect to a modulus.
E. Savaş
wiley +1 more source
ON f− STATİSTİCAL CONVERGENCE OF FRACTİONAL DİFFERENCE ON DOUBLE SEQUENCES [PDF]
, 2022 In this paper, using the fractional difference operator and a modulus function we introduce the concepts of $({}^{}_{2}{\Delta_{\beta}^{\tilde{\alpha}}},f)-$ statistical convergence, $({}^{}_{2}{\Delta^{\tilde{\alpha}}},f)-$ statistical Cauchy and p ...
Atabey, Koray İbrahim +1 more
core +2 more sources
Rate preservation of double sequences under l‐l type transformation
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 10, Page 637-643, 2002., 2002 Following the concepts of divergent rate preservation for ordinary sequences, we present a notion of rates preservation of divergent double sequences under l‐l type transformations. Definitions for Pringsheim limit inferior and superior are also presented.
Richard F. Patterson
wiley +1 more source
Analogues of some Tauberian theorems for stretchings
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 2, Page 99-109, 2001., 2001 We investigate the effect of four‐dimensional matrix transformation on new classes of double sequences. Stretchings of a double sequence is defined, and this definition is used to present a four‐dimensional analogue of D. Dawson′s copy theorem for stretching of a double sequence. In addition, the multidimensional analogue of D. Dawson′s copy theorem is
Richard F. Patterson
wiley +1 more source
Diagonality and idempotents with applications to problems in operator theory and frame theory [PDF]
, 2015 We prove that a nonzero idempotent is zero-diagonal if and only if it is not a Hilbert-Schmidt perturbation of a projection, along with other useful equivalences. Zero-diagonal operators are those whose diagonal entries are identically zero in some basis.
Loreaux, Jireh, Weiss, Gary
core +1 more source
Regular matrix methods of summability and real interpolation [PDF]
, 2021 We show that the Banach–Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin–
Kryczka, Andrzej, Kurlej, Konrad
core +3 more sources