Results 1 to 10 of about 202 (73)
Quadratic Approximation of Generalized Tribonacci Sequences
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sV n−2 + tV n−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix of {Vn}n≥0. Then we re-prove the
Cerda-Morales Gamaliel
doaj +2 more sources
Fractional Cesàro Matrix and its Associated Sequence Space
Concrete Operators, 2021 In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert ...
Roopaei H., İlkhan M.
doaj +1 more source
On the Domain of Nörlund Matrix in the Space of Bounded Variation Sequences [PDF]
Eurasian Journal of Science and Engineering, 2017 In this paper, we introduce a new sequence space bv(Nt) as the domain of Nörlund matrix Nt in the space of all sequences of bounded variation. Firstly, we give some topological properties and inclusion relations. Moreover, we determine the α-, β- and γ-
Orhan Tug
doaj +1 more source
CESARO AND STATISTICAL DERIVATIVE [PDF]
, 2021 In this study, we introduce the notions of Cesaro, strongly Ces`aro and statistical derivatives for real valued functions. These notions are based on the concepts of Cesaro and statistical convergence of a sequence.
Nuray, Fatih
core +1 more source
Quasi-nilpotency of generalized Volterra operators on sequence spaces
, 2021 We study the quasi-nilpotency of generalized Volterra operators on spaces of power series with Taylor coefficients in weighted $\ell^p$ spaces ...
Chalmoukis, Nikolaos +1 more
core +1 more source
MATRIX TRANSFORMS OF SPEED-SUMMABLE AND SPEED-BOUNDED SEQUENCES [PDF]
, 2023 First we recall the notions of $A^{\lambda}$-boundedness, $A^{\lambda}$-summability and the absolute $A^{\lambda}$-summability of sequences, and the notion of $\lambda$-reversibility of $A$, where $A$ is a matrix with real or complex entries and $\lambda$
Aasma, Ants, Natarajan, Pinnangudi N.
core +1 more source
Bounds of operators on the Hilbert sequence space
Concrete Operators, 2020 The author has computed the bounds of the Hilbert operator on some sequence spaces [18, 19]. Through this study the author has investigated the bounds of operators on the Hilbert sequence space and the present study is a complement of those previous ...
Roopaei Hadi
doaj +1 more source
Rainwater-Simons-type convergence theorems for generalized convergence methods [PDF]
, 2010 We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence.
Hardtke, Jan-David
core +4 more sources
INCLUSION THEOREMS DOUBLE DEFERRED CESARO MEANS III [PDF]
, 2022 R. P. Agnew presents a definition for Deferred Cesaro mean. Using this definition R. P. Agnew presents inclusion theorems for the deferred and none Deferred Cesaro means.
Nuray, Fatih, Patterson, Richard F.
core +1 more source
A note on fractional difference operators
Alexandria Engineering Journal, 2018 In the present article, following on very recent and new approach of fractional difference operator by Baliarsingh (2016), we establish some new ideas involving the exponent rules of this operator.
P. Baliarsingh, L. Nayak
doaj +1 more source