Results 21 to 30 of about 2,617,315 (120)

On the Paranormed Nörlund Sequence Space of Nonabsolute Type [PDF]

Abstract and Applied Analysis, 2014
Maddox defined the spaceℓ(p)of the sequencesx=(xk)such that∑k=0∞‍|xk|pk<∞, in Maddox, 1967. In the present paper, the Nörlund sequence spaceNt(p)of nonabsolute type is introduced and proved that the spacesNt(p)andℓ(p)are linearly isomorphic. Besides this, the alpha-, beta-, and gamma-duals of the spaceNt(p)are computed and the basis of the spaceNt(p)
Yeşilkayagil, Medine, Başar, Feyzi
openaire   +5 more sources

On paranormed Ideal convergent sequence spaces defined by Jordan totient function

Journal of Inequalities and Applications, 2021
The study of sequence spaces and summability theory has been an important aspect in defining new notions of convergence for the sequences that do not converge in the usual sense.
Vakeel A. Khan, Umme Tuba
doaj   +1 more source

Norms of certain operators on weighted L-spaces and Lorentz sequence spaces. [PDF]

, 2002
The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted spaces and the corresponding Lorentz sequence spaces , with the power weighting sequence or the variant defined by .
Jameson, Graham J. O., Lashkaripour, R.
core   +4 more sources

On a Generalized Difference Sequence Spaces of Fractional Order associated with Multiplier Sequence Defined by A Modulus Function

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
doaj   +1 more source

Paranorm I-convergent sequence spaces

Mathematica Slovaca, 2009
Abstract In this article we introduced the sequence spaces c I(p), c 0I(p), m I(p) and m 0I(p) for p = (p k), a sequence of positive real numbers. We study some algebraic and topological properties of these spaces.
Tripathy, Binod Chandra, Hazarika, Bipan
openaire   +2 more sources

On fuzzy paranormed spaces

, 2022
It is well-known that Paranormed spaces have more general properties than normed spaces. Until recently, the concept of paranorm has not been considered with the set of fuzzy numbers and there are no studies in literature from this point of view. So, our
Çınar, Muhammed, Karakas, Murat, Et, Mikail   +2 more
core   +1 more source

Vector-valued sequence spaces generated by infinite matrices

International Journal of Mathematics and Mathematical Sciences, 2001
Let A=(ank) be an infinite matrix with all ank≥0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]∞((Ek)), [A,P]0((Ek)), and [A,P](E) which generalize almost all the ...
Nandita Rath
doaj   +1 more source

On the triple paranormed sequence space of binomial Poisson matrix [PDF]

AIP Conference Proceedings, 2019
In this paper the triple sequence space are the generalization of the classical Maddox’s paranormed sequence space have been introduced and investigated some topological properties of triple sequence space of binomial Poisson matrix of Abχ3rs and AbΛ3rs.In this paper the triple sequence space are the generalization of the classical Maddox’s paranormed ...
Subramanian, N., Esi, A., Özdemir, M. K.   +2 more
openaire   +2 more sources

Some new paranormed sequence spaces derived by q-second difference matrix [PDF]

, 2023
The goal of this research is to construct the extended versions of the original Maddox's paranormed sequence spaces, denoted by the notation l(del(2)(q), p) and l(infinity)(del(2)(q), p).
Ellidokuzoğlu, Hacer Bilgin, Demiriz, Serkan   +1 more
core   +1 more source

Some Seminormed Difference Sequence Spaces over n‐Normed Spaces Defined by a Musielak‐Orlicz Function of Order (α, β)

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
We first define the notion of lacunary statistical convergence of order (α, β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n‐normed spaces with the help of Musielak‐Orlicz function M=(Mk) of order (α, β).
S. A. Mohiuddine, Sunil K. Sharma, Dina A. Abuzaid, Maria Alessandra Ragusa   +3 more
wiley   +1 more source