Results 11 to 20 of about 9,771 (187)

The application domain of difference type matrix D(r,0,s,0,t) on some sequence spaces [PDF]

open access: yesYugoslav Journal of Operations Research, 2021
We say that a regular graph G of order n and degree r ≥ 1 (which is not the complete graph) is strongly regular if there exist non-negative integers τ and θ such that |Si ∩ Sj | = τ for any two adjacent vertices i and j, and |Si ∩ Sj | = θ for any two ...
Paul Avinoy, Tripathy Binod Chandra
doaj   +1 more source

Binary Operations in Metric Spaces Satisfying Side Inequalities

open access: yesMathematics, 2021
The theory of metric spaces is a convenient and very powerful way of examining the behavior of numerous mathematical models. In a previous paper, a new operation between functions on a compact real interval called fractal convolution has been introduced.
María A. Navascués   +2 more
doaj   +1 more source

Uniformly factoring weakly compact operators and parametrised dualisation

open access: yesForum of Mathematics, Sigma, 2021
This article deals with the problem of when, given a collection $\mathcal {C}$ of weakly compact operators between separable Banach spaces, there exists a separable reflexive Banach space Z with a Schauder basis so that every element in $\mathcal {C ...
L. Antunes, K. Beanland, B. M. Braga
doaj   +1 more source

A Schauder basis for $$L_2$$ consisting of non-negative functions [PDF]

open access: yesMathematische Annalen, 2021
26 ...
Daniel Freeman   +2 more
openaire   +3 more sources

A geometrical characterization of Schauder basis [PDF]

open access: yesArchiv der Mathematik, 1980
Concerning basis in a Banach space, a characterization for a weak basis to be a Schauder basis is given in terms of the geometrical behavior of the set of linear, closed hulls wich are generated by subsequences of the expansion sequences of the basis.
openaire   +8 more sources

On Λ-Fibonacci difference sequence spaces of fractional order

open access: yesDera Natung Government College Research Journal, 2021
In this article, we introduce -Fibonacci difference operator of fractional order  which is obtained by the composition of -Fibonacci matrix  and backward fractional difference operator  defined by  and introduce the sequence spaces  and  We give some ...
Taja Yaying
doaj   +1 more source

Constraint Qualification with Schauder Basis for Infinite Programming Problems

open access: yesApplied Mathematics & Optimization, 2023
AbstractWe consider infinite programming problems with constraint sets defined by systems of infinite number of inequalities and equations given by continuously differentiable functions defined on Banach spaces. In the approach proposed here we represent these systems with the help of coefficients in a given Schauder basis.
E. M. Bednarczuk   +2 more
openaire   +1 more source

Generalised cosine functions, basis and regularity properties [PDF]

open access: yes, 2015
We examine regularity and basis properties of the family of rescaled $p$-cosine functions. We find sharp estimates for their Fourier coefficients. We then determine two thresholds, $p_02$, such that this family is a Schauder basis of $L_s(0,1)$ for all ...
Boulton, Lyonell, Melkonian, Houry
core   +2 more sources

Some New Cauchy Sequence Spaces

open access: yesUniversal Journal of Mathematics and Applications, 2018
In this paper, our goal is to introduce some new Cauchy sequence spaces. These spaces are defined by Cauchy transforms. We shall use notations $C_{\infty }\left( s,t\right) $, $C\left( s,t\right) $ and $C_{0}\left( s,t\right) ~$for these new sequence ...
Harun Polat
doaj   +1 more source

Haar system as Schauder basis in Besov spaces: The limiting cases for 0 < p <= 1 [PDF]

open access: yes, 2018
We show that the d-dimensional Haar system H^d on the unit cube I^d is a Schauder basis in the classical Besov space B_{p,q,1}^s(I^d ...
Oswald, Peter
core   +2 more sources

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