A Korovkin's type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallée Poussin mean
The main object of this paper is to prove a Korovkin type theorem for the test functions 1, cos
x, sin x in the space C 2 π (R) of all continuous 2 π-periodic functions on the real line R. Our …
x, sin x in the space C 2 π (R) of all continuous 2 π-periodic functions on the real line R. Our …
ON SOME NEW SEQUENCE SPACES OF NON-ABSOLUTE TYPE RELATED TO THE SPACES ℓ𝑝 AND ℓ∞ I
M Mursaleen, AK Noman - Filomat, 2011 - JSTOR
In the present paper, we introduce the sequence space ℓ p λ of non-absolute type and prove
that the spaces ℓ p λ and ℓ𝑝 are linearly isomorphic for 0< 𝑝≤∞. Further, we show that ℓ p λ …
that the spaces ℓ p λ and ℓ𝑝 are linearly isomorphic for 0< 𝑝≤∞. Further, we show that ℓ p λ …
[HTML][HTML] On some new difference sequence spaces of non-absolute type
M Mursaleen, AK Noman - Mathematical and Computer Modelling, 2010 - Elsevier
In the present paper, we introduce the spaces c0λ (Δ) and cλ (Δ) of difference sequences
which are the BK-spaces of non-absolute type and prove that these spaces are linearly …
which are the BK-spaces of non-absolute type and prove that these spaces are linearly …
Matrix Domain of a Regular Matrix Derived by Euler Totient Function in the Spaces and c
M İlkhan - Mediterranean Journal of Mathematics, 2020 - Springer
The main purpose of this manuscript is to introduce Banach spaces c_0^ Φ c 0 Φ and c^ Φ c
Φ as the matrix domain of a regular matrix Φ Φ derived by the Euler totient function. These …
Φ as the matrix domain of a regular matrix Φ Φ derived by the Euler totient function. These …
On Some Difference Sequence Spaces of Weighted Means and Compact Operators
In the peresent paper, by using generalized weighted mean and difference matrix of order $
m, $ we introduce the sequence spaces $ X (u, v,\Delta^{(m)}) $, where $ X $ is one of the …
m, $ we introduce the sequence spaces $ X (u, v,\Delta^{(m)}) $, where $ X $ is one of the …
A new regular infinite matrix defined by Jordan totient function and its matrix domain in ℓp
In this paper, we first define a new regular matrix by using the arithmetic function called
Jordan totient function and study the matrix domain of this newly introduced matrix in the …
Jordan totient function and study the matrix domain of this newly introduced matrix in the …
[图书][B] Summable spaces and their duals, matrix transformations and geometric properties
F Başar, H Dutta - 2020 - taylorfrancis.com
The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric
Properties is to discuss primarily about different kinds of summable spaces, compute their …
Properties is to discuss primarily about different kinds of summable spaces, compute their …
[PDF][PDF] An application of Fibonacci numbers into infinite Toeplitz matrices
CJMS. 1(1)(2012), 43-47 Keywords: Regular matrix transformations, Sequence spaces.
Classification 2000 MSC: 11B39, 46B45 The Fib Page 1 Caspian Journal of Mathematical …
Classification 2000 MSC: 11B39, 46B45 The Fib Page 1 Caspian Journal of Mathematical …
A new conservative matrix derived by Catalan numbers and its matrix domain in the spaces c and c0
M İlkhan - Linear and Multilinear Algebra, 2020 - Taylor & Francis
The main purpose of this paper is to define a new conservative matrix by means of the
fascinating sequence of Catalan numbers and study the matrix domain of this newly …
fascinating sequence of Catalan numbers and study the matrix domain of this newly …
Domain of the double sequential band matrix in the spaces of convergent and null sequences
M Candan - Advances in Difference Equations, 2014 - Springer
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 …
derived by using a double sequential band matrix B (r˜, s˜) which generalizes the previous …